Study Guide and Intervention

Size: px
Start display at page:

Download "Study Guide and Intervention"

Transcription

1 NAME DATE PERIOD Study Guide and Intervention Fractions and Decimals To write a decimal as a fraction, divide the numerator of the fraction by the denominator. Use a power of ten to change a decimal to a fraction. Write as a decimal. Method 1 Use pencil and paper. Method 2 Use a calculator The remainder after You can use bar notation 0. to 4 each step is. indicate that repeats forever. 0 So, Write 0.2 as a fraction in simplest form The 2 is in the hundredths place. Simplify. Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal Write each decimal as a fraction in simplest form Glencoe/McGraw-Hill 2 Mathematics: Applications and Concepts, Course 2

2 NAME DATE PERIOD Study Guide and Intervention Fractions and Percents A ratio is a comparison of two numbers by division. When a ratio compares a number to 100, it can be written as a percent. To write a ratio or fraction as a percent, find an equivalent fraction with a denominator of 100. You can also use the meaning of percent to change percents to fractions. Write 1 as a percent. 20 Lesson % Since , multiply the numerator and denominator by. Write 2% as a fraction in simplest form. 2 2% 1 00 Definition of percent 2 2 Simplify. Write each ratio as a percent per per : :100 Write each fraction as a percent Write each percent as a fraction in simplest form. 1. % 14. 1% 1. 7% 16. 0% % 1. 1% Glencoe/McGraw-Hill 26 Mathematics: Applications and Concepts, Course 2

3 NAME DATE PERIOD Study Guide and Intervention Percents and Decimals To write a percent as a decimal, divide the percent by 100 and remove the percent symbol. To write a decimal as a percent, multiply the decimal by 100 and add the percent symbol. Write 42.% as a decimal. 42.% , Write the percent as a fraction. Multiply by 10 to remove the decimal in the numerator. Simplify. Write the fraction as a decimal. Write 0.62 as a percent Multiply by % Add the % symbol. Write each percent as a decimal. 1. 6% 2. 2%. 1% 4. 4%..% % %. 11.1% Write each decimal as a percent Glencoe/McGraw-Hill 26 Mathematics: Applications and Concepts, Course 2

4 NAME DATE PERIOD Study Guide and Intervention Scientific Notation A number is in scientific notation when it is written as the product of a number and a power of ten. The number must be greater than or equal to 1 and less than 10. To write a number in standard form, you apply the order of operations. First evaluate the power of ten and then multiply. To write a number in scientific notation, move the decimal point to the right of the first nonzero number. Then, find the power of ten by counting the number of places moved. Write in standard form , , Move the decimal point places to the right. 6,100 Write 62,00 in scientific notation. 62, ,000 Move the decimal point 4 places to get a number between 1 and Write each number in standard form Write each number in scientific notation , Lesson 1 10., , ,00 14.,000 1.,0 Glencoe/McGraw-Hill 41 Mathematics: Applications and Concepts, Course 2

5 MATH-7 Numbers in Scientific Notation-7.1c Exam not valid for Paper Pencil Test Sessions [Exam ID:01WF1 1 Which list is in order from least to greatest? 1 2 A 0.06,, 2%, B,, 2%, C,, 0.06, 2% D, 2%,, The boy's middle school basketball team held a foul shot competition. Four of the players recorded their results differently in the table. Which player had the highest percentage of foul shots made? A Colter B Roy C Sean D Taylor

6 Sally, Sue and Joe were measured in gym class. Sally was 6 inches. Sue was inches. Joe was 6 inches. Who was the tallest? 2 A Sally B Sue C All were the same height D Joe 4 Which number would make the statement true? A 0.0 B 0.40 C 0.04 D < < 46% Directions: Click on each correct box. You must select all correct answers. Select three numbers that are greater than % % 2% Maria made out of baskets in the basketball game. What percent of the baskets did Maria make? A 0% B % C % D 60%

7 7 Which symbol makes this a true statement? 4.6 x x 10 A = B < C > Which number does not have the same value? A 0.6 B 12 C 12 D 66.6% Which lists the following numbers in ascending order? A 0.12, 1.2%, 7%, B 0.12, 1.2%,, 7% C 1.2%, 0.12,, 7% D 1.2%, 0.12, 7%, 10 Arrange the following numbers in ascending order. 6.7 x %

8 11 Look at the table. Which list shows the numbers ordered from greatest to least? A List 2 B List 1 C List 4 D List 12 Directions: Click on a box to select each answer you want to select. You must select all correct answers. Identify each number that is less than % % 1 Directions: Click on a box to select each answer you want to select. You must select all correct answers. Identify each number that is greater than % %

9 14 Directions: Click on a box to select each answer you want to select. You must select all correct answers. Identify each group of numbers that are ordered from least to greatest. 0., %,, , 0.07,, 7% 7 2.6%, ,, , 2.%,,.2 0.,. 10-1, %, 1 Directions: Click and drag each selected number to the correct box. According to the 2010 US Census, California had the highest population, followed by Texas, and New York. Match each state with its population..72 x x x Which of the following is not true? 6000 A > 2.1 x B 0. = 0% C 0. < % D 2% = 0.2

10 17 The mass of a proton is approximately 1.67 x Select all the box(es) that represent a value less than the mass of a proton. Smallest object Mass of an electron: Mass of a human cell:.11 x x observed:.2 x 10-1 Mass of a neutron: 1.67 x Directions: Click and drag each selected number to the correct box. Arrange the three numbers shown in order from least to greatest Which list of numbers is arranged from least to greatest? A 0.2, 17%, 2 2 B 0.2,, 17% C 17%, 0.2, 2 2 D 17%,, Which is a true statement? A 2 x 10-2 > 2 x 10 2 B 0.2 < 2. x 10-2 C 2. x 10-2 = 20 D.1 x 10 <.1 x 10 7

11 21 Directions: Type your answer in the box. Use "/" for fraction bar. Identify the number with the greatest value.. % 22 Directions: Click and drag each value to the correct box. Place the numbers in order from least to greatest % Which fraction best represents the value of A on the number line shown? A 1 4 B 1 C 2 D 2

12 24 A 0.6 B 10 C 60% D 6. x Arrange the following rational numbers in ascending order. A B C D

Arithmetic. Mathematics Help Sheet. The University of Sydney Business School

Arithmetic. Mathematics Help Sheet. The University of Sydney Business School Arithmetic Mathematics Help Sheet The University of Sydney Business School Common Arithmetic Symbols is not equal to is approximately equal to is identically equal to infinity, which is a non-finite number

More information

1, are not real numbers.

1, are not real numbers. SUBAREA I. NUMBER SENSE AND OPERATIONS Competency 000 Understand the structure of numeration systems and ways of representing numbers. A. Natural numbers--the counting numbers, 23,,,... B. Whole numbers--the

More information

Help with fractions, percentages and decimals! 1 Numerator 2 Denominator

Help with fractions, percentages and decimals! 1 Numerator 2 Denominator Help with fractions, percentages and decimals! 1 Numerator 2 Denominator Finding a fraction of an amount To find a fraction of an amount we divide the number by the denominator and then multiply our answer

More information

5.06 Rationalizing Denominators

5.06 Rationalizing Denominators .0 Rationalizing Denominators There is a tradition in mathematics of eliminating the radicals from the denominators (or numerators) of fractions. The process is called rationalizing the denominator (or

More information

Percents and Ratios If a discount of 25% off the retail price of a desk saves Mark $45, how much did he pay for the desk?

Percents and Ratios If a discount of 25% off the retail price of a desk saves Mark $45, how much did he pay for the desk? Percents and Ratios 1. If a discount of 25% off the retail price of a desk saves Mark $45, how much did he pay for the desk? $135 $160 $180 $210 $215 2. A customer pays $1,100 in state taxes on a newly

More information

Math 6 Unit 7 Notes: Proportional relationships

Math 6 Unit 7 Notes: Proportional relationships Math 6 Unit 7 Notes: Proportional relationships Objectives: (3.2) The student will translate written forms of fractions, decimals, and percents to numerical form. (5.1) The student will apply ratios in

More information

Mathematics 7 Fractions, Decimals and Percentages

Mathematics 7 Fractions, Decimals and Percentages Mathematics 7 Fractions, Decimals and Percentages FRACTIONS: 50 Numerator (top number) 100 Denominator (bottom number) * means 50 100 There are three types of fractions: 1.) Proper Fraction 13 The denominator

More information

Module 6 Percent % Section 6.1 Understanding Percent. 1 of MAT001 MODULE 6 PERCENT. Denominators of 100

Module 6 Percent % Section 6.1 Understanding Percent. 1 of MAT001 MODULE 6 PERCENT. Denominators of 100 Module 6 Percent % Section 6.1 Understanding Percent CQ-6-01. Write 0.19% 19% 1900% 0.0019% 19 as a percent. P. 1 of 54 P. 4 of 54 Denominators of The word percent means per hundred. A percent is another

More information

3 Ways to Write Ratios

3 Ways to Write Ratios RATIO & PROPORTION Sec 1. Defining Ratio & Proportion A RATIO is a comparison between two quantities. We use ratios every day; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell

More information

Chapter 6. Section 6.1. Chapter 6 Opener. Big Ideas Math Red Worked-Out Solutions. 6.1 Activity (pp ) Try It Yourself (p.

Chapter 6. Section 6.1. Chapter 6 Opener. Big Ideas Math Red Worked-Out Solutions. 6.1 Activity (pp ) Try It Yourself (p. Chapter 6 Opener Try It Yourself (p. ) 6. 6% 5... 5. 6. 7.. % 5 6 7 6% 5 5 7 5% 7 %, or 5 5 5 5%, or 5 5%, or 76 69 9 76% 5 5 Section 6. 6. Activity (pp. 5). a. b. d. f.. a. b. c. d. %. % c. 7 7%.7 e.

More information

Simplifying Fractions.notebook February 28, 2013

Simplifying Fractions.notebook February 28, 2013 1 Fractions may have numerators and/or denominators that are composite numbers (numbers that have more factors than one and itself). When this is the case, fractions can be simplified to their lowest term.

More information

How can you use what you know about adding integers to add rational numbers? ACTIVITY: Adding Rational Numbers

How can you use what you know about adding integers to add rational numbers? ACTIVITY: Adding Rational Numbers . How can you use what you know about adding integers to add rational numbers? ACTIVITY: Work with a partner. Use a number line to find the sum. a.. +.) Start at 0. Move. units to the right. Add... Then

More information

Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions Adding and Subtracting Rational Expressions To add or subtract rational expressions, follow procedures similar to those used in adding and subtracting rational numbers. 4 () 4(3) 10 1 3 3() (3) 1 1 1 All

More information

Vocabulary & Concept Review

Vocabulary & Concept Review Vocabulary & Concept Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) The are 0, 1, 2, 3,... A) factor B) digits C) whole numbers D) place

More information

P.1 Algebraic Expressions, Mathematical models, and Real numbers. Exponential notation: Definitions of Sets: A B. Sets and subsets of real numbers:

P.1 Algebraic Expressions, Mathematical models, and Real numbers. Exponential notation: Definitions of Sets: A B. Sets and subsets of real numbers: P.1 Algebraic Expressions, Mathematical models, and Real numbers If n is a counting number (1, 2, 3, 4,..) then Exponential notation: b n = b b b... b, where n is the Exponent or Power, and b is the base

More information

3 Ways to Write Ratios

3 Ways to Write Ratios RATIO & PROPORTION Sec 1. Defining Ratio & Proportion A RATIO is a comparison between two quantities. We use ratios everyday; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell

More information

Lesson 5.5 and 5.6. Changing Fractions to Decimals and Decimals to Fractions

Lesson 5.5 and 5.6. Changing Fractions to Decimals and Decimals to Fractions Lesson 5.5 and 5.6 Name: Changing Fractions or Decimals to Percents 1) Key in the fraction or decimal. 2) Hit the 2 nd key, then the % key, then enter. Changing Fractions to Decimals and Decimals to Fractions

More information

We can use fractions to describe things that have been broken into equal parts, for example:

We can use fractions to describe things that have been broken into equal parts, for example: Fractions Fractions describe parts of a whole. Part Whole The top of the fraction is called the numerator, and the bottom of the fraction is called the denominator. The numerator refers to a section of

More information

Lesson 4 Section 1.11, 1.13 Rounding Numbers Percent

Lesson 4 Section 1.11, 1.13 Rounding Numbers Percent Lesson 4 Section 1.11, 1.13 Rounding Numbers Percent Whole Number Place Value 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0, 0 0 0 sextillions hundred quintillions ten quintillions quintillions hundred quadrillions

More information

H.S.E. PREP SEC

H.S.E. PREP SEC H.S.E. PREP COURSE @ SEC VERSION 2.0, 2018 MODULE B RATIONALS STUDENT WORKBOOK H.S.E. PREP COURSE MODULE B: RATIONALS CONTENTS REVIEW... 3 OPERATIONS WITH INTERGERS... 3 DECIMALS... 4 BASICS... 4 ADDING

More information

Chapter 6. Percents and their Applications

Chapter 6. Percents and their Applications Chapter 6 Percents and their Applications What is a percent? A percent is 1 one hundredth of a number. For instance, a penny is 1/100 of a dollar. Each one hundredth is 1% A nickel is 5/100 of a dollar

More information

3 Ways to Write Ratios

3 Ways to Write Ratios RATIO & PROPORTION Sec 1. Defining Ratio & Proportion A RATIO is a comparison between two quantities. We use ratios every day; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell

More information

Numeracy Booklet A guide for pupils, parents and staff

Numeracy Booklet A guide for pupils, parents and staff Numeracy Booklet A guide for pupils, parents and staff The aim of this booklet is to ensure that there is a consistent approach throughout the academy and at home on basic mathematical concepts Place Value

More information

HFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS

HFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS HFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS Adding or subtracting two rational expressions require the rational expressions to have the same denominator. Example

More information

Name For those going into. Algebra 1 Honors. School years that begin with an ODD year: do the odds

Name For those going into. Algebra 1 Honors. School years that begin with an ODD year: do the odds Name For those going into LESSON 2.1 Study Guide For use with pages 64 70 Algebra 1 Honors GOAL: Graph and compare positive and negative numbers Date Natural numbers are the numbers 1,2,3, Natural numbers

More information

Park Forest Math Team. Meet #2. Self-study Packet

Park Forest Math Team. Meet #2. Self-study Packet Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number

More information

MSM Course 1 Flashcards. Associative Property. base (in numeration) Commutative Property. Distributive Property. Chapter 1 (p.

MSM Course 1 Flashcards. Associative Property. base (in numeration) Commutative Property. Distributive Property. Chapter 1 (p. 1 Chapter 1 (p. 26, 1-5) Associative Property Associative Property: The property that states that for three or more numbers, their sum or product is always the same, regardless of their grouping. 2 3 8

More information

EDULABZ INTERNATIONAL NUMBERS AND REAL NUMBERS

EDULABZ INTERNATIONAL NUMBERS AND REAL NUMBERS 5 NUMBERS AND REAL NUMBERS. Find the largest 4-digit number which is exactly divisible by 459. Ans.The largest 4-digit natural number = 9999 We divide 9999 by 459 and find the remainder 459 9999 98 89

More information

Foundation tier unit 4a check in test. Non-calculator. Q1. Three of these fractions are equivalent. Which is the odd one out? 6 8

Foundation tier unit 4a check in test. Non-calculator. Q1. Three of these fractions are equivalent. Which is the odd one out? 6 8 Foundation tier unit a check in test Non-calculator Q1. Three of these fractions are equivalent. Which is the odd one out? 6 8 18 2 2 2 28 6 Q2. Helen scored 6 out of 50 possible points in a quiz. Write

More information

Conversions Review. 1. Convert the following Percent s to Decimals. a. 50% = f. 65% = b. 25% = g. 150% = h. 86% = c. 5% = i. 60% = d. 9% = j.

Conversions Review. 1. Convert the following Percent s to Decimals. a. 50% = f. 65% = b. 25% = g. 150% = h. 86% = c. 5% = i. 60% = d. 9% = j. Conversions Review Name: Date: 1. Convert the following Percent s to Decimals Move the decimal two places to the LEFT. When there is no decimal in the number, it would be at the end of the number. a. 50%

More information

1) The mass of an object is 27.3 grams. Which mass is greater than 27.3 grams?

1) The mass of an object is 27.3 grams. Which mass is greater than 27.3 grams? Midterm Practice Quiz #3 1) The mass of an object is 27.3 grams. Which mass is greater than 27.3 grams? A. 27.30 grams B. 27.040 grams C. 27.300 grams D. 27.33 grams 2) Which part of the figure is shaded?

More information

Percents. Writing percents as decimals. How to change a percent to a decimal.

Percents. Writing percents as decimals. How to change a percent to a decimal. Percents Introduction: Percent (%) means per hundred or hundredths. When you read in the newspaper that 80% of the voters voted, it means that 80 out of 100 eligible citizens voted. A percent can be considered

More information

1. Factors: Write the pairs of factors for each of the following numbers:

1. Factors: Write the pairs of factors for each of the following numbers: Attached is a packet containing items necessary for you to have mastered to do well in Algebra I Resource Room. Practicing math skills is especially important over the long summer break, so this summer

More information

Unit 2: Ratios & Proportions

Unit 2: Ratios & Proportions Unit 2: Ratios & Proportions Name Period Score /42 DUE DATE: A Day: Sep 21st B Day: Sep 24th Section 2-1: Unit Rates o Rate- A ratio that compares quantities with different kinds of units. o Unit Rate-

More information

Pre-Algebra, Unit 7: Percents Notes

Pre-Algebra, Unit 7: Percents Notes Pre-Algebra, Unit 7: Percents Notes Percents are special fractions whose denominators are 100. The number in front of the percent symbol (%) is the numerator. The denominator is not written, but understood

More information

Solve Problems with Percents

Solve Problems with Percents Domain 1 Lesson 2 Solve Problems with Percents Common Core Standard: 7.RP.3 Getting the Idea Percents are used for many things, such as the sale price of an item, the sales tax you pay on an item, and

More information

The Next Step. Mathematics Applications for Adults. Book Percents

The Next Step. Mathematics Applications for Adults. Book Percents The Next Step Mathematics Applications for Adults Book 14016 Percents OUTLINE Mathematics - Book 14016 Percents Understanding and Comparing Percents demonstrate an ability to visualize percent. compare

More information

Adding and Subtracting Fractions

Adding and Subtracting Fractions Adding and Subtracting Fractions Adding Fractions with Like Denominators In order to add fractions the denominators must be the same If the denominators of the fractions are the same we follow these two

More information

Learning Plan 3 Chapter 3

Learning Plan 3 Chapter 3 Learning Plan 3 Chapter 3 Questions 1 and 2 (page 82) To convert a decimal into a percent, you must move the decimal point two places to the right. 0.72 = 72% 5.46 = 546% 3.0842 = 308.42% Question 3 Write

More information

HSPA STUDY GUIDE MULTIPLE CHOICE AND SHORT ANSWER

HSPA STUDY GUIDE MULTIPLE CHOICE AND SHORT ANSWER HSPA STUDY GUIDE MULTIPLE CHOICE AND SHORT ANSWER 1) Which of the following types of numbers would solve the equation x 2 = 45? A) Whole numbers 27) The scale on a map is ½ inch = 80 miles. How far apart

More information

HSPA Practice Test #1 STUDY GUIDE

HSPA Practice Test #1 STUDY GUIDE 1) Which of the following types of numbers would solve the equation x 2 = 45? A) Whole numbers B) Rational numbers C) Integers D) Irrational numbers HSPA Practice Test #1 STUDY GUIDE 2) Which of the following

More information

Transition Math Review #1

Transition Math Review #1 Transition Math Review #1 Name 1) Convert to a percent. 2) Convert to a percent. 3) Convert to a percent. 4) Convert 74% to a decimal. 5) Convert 4 % to a decimal. 6) Convert 637% to a decimal. 7) Convert

More information

Math League SCASD. Meet #2. Self-study Packet

Math League SCASD. Meet #2. Self-study Packet Math League SCASD Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number Theory:

More information

Relate Tenths and Decimals

Relate Tenths and Decimals Lesson 9.1 Relate Tenths and Decimals Write the fraction and the decimal that are shown by the point on the number line. 0 0.0 0. Step 1 Count the number of equal parts of the whole shown on the number

More information

Name (s) Class Date ERROR ANALYSIS WORD PROBLEMS

Name (s) Class Date ERROR ANALYSIS WORD PROBLEMS 7 th Grade Common Core Name (s) Class Date ERROR ANALYSIS EXPRESSIONS WORD PROBLEMS Includes: * Evaluating Expressions * Writing Expressions * Sequences * Simplifying Expressions * Adding & Subtracting

More information

MATH STUDENT BOOK. 8th Grade Unit 4

MATH STUDENT BOOK. 8th Grade Unit 4 MATH STUDENT BOOK 8th Grade Unit 4 Unit 4 Proportional Reasoning Math 804 Proportional Reasoning Introduction 3 1. Proportions 5 Proportions 5 Applications 11 Direct Variation 16 SELF TEST 1: Proportions

More information

Exponents Unit Notebook v2.notebook. November 09, Exponents. Table Of Contents. Section 1: Zero and Integer Exponents Objective: Nov 1-10:06 AM

Exponents Unit Notebook v2.notebook. November 09, Exponents. Table Of Contents. Section 1: Zero and Integer Exponents Objective: Nov 1-10:06 AM Exponents Nov 1-10:06 AM Table Of Contents Section 1: Zero and Integer Exponents Section 2: Section 3: Multiplication Properties of Exponents Section 4: Division Properties of Exponents Section 5: Geometric

More information

1 algebraic. expression. at least one operation. Any letter can be used as a variable. 2 + n. combination of numbers and variables

1 algebraic. expression. at least one operation. Any letter can be used as a variable. 2 + n. combination of numbers and variables 1 algebraic expression at least one operation 2 + n r w q Any letter can be used as a variable. combination of numbers and variables DEFINE: A group of numbers, symbols, and variables that represent an

More information

Enrichment. Which rectangle in Exercise 1 is most nearly a golden rectangle?

Enrichment. Which rectangle in Exercise 1 is most nearly a golden rectangle? 8- Ratios and Rectangles. Use a centimeter ruler to measure the width and the length of each rectangle. Then express the ratio of the width to the length as a fraction in simplest form. A B C A: width

More information

Warm Up January 27, 2016 Change the fraction to a percent 1. 4/5

Warm Up January 27, 2016 Change the fraction to a percent 1. 4/5 Warm Up January 27, 2016 Change the fraction to a percent 1. 4/5 2. 1 and 4/5 3. 2/3 4. 5/8 1 Percent of Change Percent is a fraction whose denominator is 100. The symbol is %. A percent of change shows

More information

MFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons

MFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 2 Proportional Reasoning 9 Video Lessons Allow no more than 14 class days for this unit! This includes time for review

More information

Percent: Slide 1 / 194. Slide 2 / 194. Slide 4 / 194. Slide 3 / 194. Slide 6 / 194. Slide 5 / 194. Table of Contents. Ratios as Percents

Percent: Slide 1 / 194. Slide 2 / 194. Slide 4 / 194. Slide 3 / 194. Slide 6 / 194. Slide 5 / 194. Table of Contents. Ratios as Percents Slide 1 / 194 Percents Slide 2 / 194 Table of Contents Ratios as Percents Decimals as Percents Percents as Decimals Fractions as Percents Percents as Fractions Fractional Parts and Equivalent Names Relating

More information

5.3 Standard Deviation

5.3 Standard Deviation Math 2201 Date: 5.3 Standard Deviation Standard Deviation We looked at range as a measure of dispersion, or spread of a data set. The problem with using range is that it is only a measure of how spread

More information

The Normal Model The famous bell curve

The Normal Model The famous bell curve Math 243 Sections 6.1-6.2 The Normal Model Here are some roughly symmetric, unimodal histograms The Normal Model The famous bell curve Example 1. Let s say the mean annual rainfall in Portland is 40 inches

More information

Decomposing Rational Expressions Into Partial Fractions

Decomposing Rational Expressions Into Partial Fractions Decomposing Rational Expressions Into Partial Fractions Say we are ked to add x to 4. The first step would be to write the two fractions in equivalent forms with the same denominators. Thus we write: x

More information

3.4.1 Convert Percents, Decimals, and Fractions

3.4.1 Convert Percents, Decimals, and Fractions 3.4.1 Convert Percents, Decimals, and Fractions Learning Objective(s) 1 Describe the meaning of percent. 2 Represent a number as a decimal, percent, and fraction. Introduction Three common formats for

More information

Number Sense AP Book 7, Part 2: Unit 1

Number Sense AP Book 7, Part 2: Unit 1 Number Sense AP Book, Part : Unit COPYRIGHT 0 JUMP MATH: NOT TO BE COPIED AP Book NS- page. A. 0. B. 0.00 C. 0. D. 0.0 E. 0.0. a) 0 = 0. = 0. 0 = 0. = 0. = 0. = 0. 0. Teacher to check.. a) 0 0. a) i) Numerators

More information

Here are the steps required for Adding and Subtracting Rational Expressions:

Here are the steps required for Adding and Subtracting Rational Expressions: Here are the steps required for Adding and Subtracting Rational Expressions: Step 1: Factor the denominator of each fraction to help find the LCD. Step 3: Find the new numerator for each fraction. To find

More information

1 SE = Student Edition - TG = Teacher s Guide

1 SE = Student Edition - TG = Teacher s Guide Mathematics State Goal 6: Number Sense Standard 6A Representations and Ordering Read, Write, and Represent Numbers 6.8.01 Read, write, and recognize equivalent representations of integer powers of 10.

More information

Leith Academy. Numeracy Booklet Pupil Version. A guide for S1 and S2 pupils, parents and staff

Leith Academy. Numeracy Booklet Pupil Version. A guide for S1 and S2 pupils, parents and staff Leith Academy Numeracy Booklet Pupil Version A guide for S1 and S2 pupils, parents and staff Introduction What is the purpose of the booklet? This booklet has been produced to give guidance to pupils and

More information

Please show work for all calculated answers. Show work in a neat and organized manner.

Please show work for all calculated answers. Show work in a neat and organized manner. Math 083 Review for Exam 1 Name Please show work for all calculated answers. Show work in a neat and organized manner. 1) Using the frequency table for a monthly budget, find all of the relative frequencies

More information

Unit 3: Rational Numbers

Unit 3: Rational Numbers Math 9 Unit 3: Rational Numbers Oct 9 9:04 AM 3.1 What is a Rational Number? Any number that can be written in the form m n, where m and n are integers and n = 0. In other words, any number that can be

More information

Percent of a Number. You often use percents to make comparisons and help make decisions. How can you solve problems involving percents?

Percent of a Number. You often use percents to make comparisons and help make decisions. How can you solve problems involving percents? Percent of a Number Focus on After this lesson, you will be able to... solve problems that involve percents less than 1% solve problems involving percents greater than 100% solve problems involving fractional

More information

Reteaching. Ratios. For every 6 boys in the class, there are 5 girls in the class. Write each ratio in two other ways.

Reteaching. Ratios. For every 6 boys in the class, there are 5 girls in the class. Write each ratio in two other ways. - Ratios on a Tape Diagram: The tape diagram shows the ratio of boys to girls in a swimming class. How can you describe the ratio of boys to girls? Boys Girls For every 6 boys in the class, there are girls

More information

1. (a) Expand (1 + 2x 2 ) in ascending powers of x up to and including the term in x 3. (3)

1. (a) Expand (1 + 2x 2 ) in ascending powers of x up to and including the term in x 3. (3) Binomial - Core 4 Revision (a) Epand ( ) powers of up to and including the term in State the range of values of for which the full epansion is valid () (Total 4 marks) (a) Epress as the sum of two partial

More information

Chapter 6 Ratios and Percentages

Chapter 6 Ratios and Percentages Chapter 6 Section 6.1 Ratios Introduction Ratios are used to compare quantities. Ratios are written with a colon (:). A ratio can be expressed in a number of ways. For example if John is five years old

More information

6, 6 to 8 8. , 3 : 1, or 3 to 1 1

6, 6 to 8 8. , 3 : 1, or 3 to 1 1 - Ratios on a Tape Diagram: The tape diagram shows the ratio of boys to girls in a swimming class. How can you describe the ratio of boys to girls? Boys Girls For every 6 boys in the class, there are girls

More information

7.1 Simplifying Rational Expressions

7.1 Simplifying Rational Expressions 7.1 Simplifying Rational Expressions LEARNING OBJECTIVES 1. Determine the restrictions to the domain of a rational expression. 2. Simplify rational expressions. 3. Simplify expressions with opposite binomial

More information

Ms. Campos - Math 7 Unit 6 Percents

Ms. Campos - Math 7 Unit 6 Percents Ms. Campos - Math 7 Unit 6 Percents 2017-2018 Date Lesson Topic Homework M 5 12/11 1 Understanding Percents Lesson 1 Page 5 T 6 12/12 2 Working with Mental Math Lesson 2 Page 8 W 1 12/13 Activity Finish

More information

Section 6.4 Adding & Subtracting Like Fractions

Section 6.4 Adding & Subtracting Like Fractions Section 6.4 Adding & Subtracting Like Fractions ADDING ALGEBRAIC FRACTIONS As you now know, a rational expression is an algebraic fraction in which the numerator and denominator are both polynomials. Just

More information

1) 17 11= 2) = 3) -9(-6) = 6) ) ) ) Find the 444. If necessary, round to the nearest tenth.

1) 17 11= 2) = 3) -9(-6) = 6) ) ) ) Find the 444. If necessary, round to the nearest tenth. SOL 7.3 Simplify each. 1) 17 11= 2) -100 + 5 = 3) -9(-6) = 4) SOL 8.5 Circle all of the following that are perfect squares. 256 49 16 21 64 1 98 81 76 400 5) How do you determine if a number is a perfect

More information

Fractions, Decimals, and Percents

Fractions, Decimals, and Percents Fractions, Decimals, and Percents Focus on After this lesson, you will be able to... convert between fractions, decimals, and percents Sports commentators often use statistics to report on the performance

More information

Skills Practice Skills Practice for Lesson 10.1

Skills Practice Skills Practice for Lesson 10.1 Skills Practice Skills Practice for Lesson 10.1 Name Date Water Balloons Polynomials and Polynomial Functions Vocabulary Match each key term to its corresponding definition. 1. A polynomial written with

More information

PERCENTAGES WHAT S IN CHAPTER 6? IN THIS CHAPTER YOU WILL:

PERCENTAGES WHAT S IN CHAPTER 6? IN THIS CHAPTER YOU WILL: PERCENTAGES 6 WHAT S IN CHAPTER 6? 6 01 Percentages, fractions and decimals 6 02 Percentage of a quantity 6 0 Expressing quantities as fractions and percentages 6 0 Percentage increase and decrease 6 05

More information

Puzzle 5-1. Percents, Fractions, and Decimals

Puzzle 5-1. Percents, Fractions, and Decimals 5-1 Percents, Fractions, and Decimals Some of the percents, decimals, and fractions in the diagram are equivalent. Decimals are rounded to the nearest hundredth. To find the hidden pattern in the diagram,

More information

DATA HANDLING Five-Number Summary

DATA HANDLING Five-Number Summary DATA HANDLING Five-Number Summary The five-number summary consists of the minimum and maximum values, the median, and the upper and lower quartiles. The minimum and the maximum are the smallest and greatest

More information

MATH 008 LECTURE NOTES Dr JASON SAMUELS. Ch1 Whole Numbers $55. Solution: =81+495= = 36$

MATH 008 LECTURE NOTES Dr JASON SAMUELS. Ch1 Whole Numbers $55. Solution: =81+495= = 36$ MATH 008 LECTURE NOTES Dr JASON SAMUELS Ch1 Whole Numbers $55 Solution: 81+9 55=81+495=576 576-540 = 36$ This alternate way to multiply is called the lattice method, because the boxes make a lattice. The

More information

NUMBER SKILLS SELF-ASSESSMENT QUESTIONS

NUMBER SKILLS SELF-ASSESSMENT QUESTIONS NUMBER SKILLS SELF-ASSESSMENT QUESTIONS (Multiplication Facts: I cannot emphasise enough how useful it is to really know your tables. You will know whether you need to brush up on your tables I won t insult

More information

Ratios, Rates, and Conversions. Section 4-1 Part 1

Ratios, Rates, and Conversions. Section 4-1 Part 1 Ratios, Rates, and Conversions Section 4-1 Part 1 Vocabulary Ratio Rate Unit Rate Conversion Factor Unit Analysis Definition Ratio is a comparison of two quantities by division. The ratio of a to b can

More information

1. FRACTIONAL AND DECIMAL EQUIVALENTS OF PERCENTS

1. FRACTIONAL AND DECIMAL EQUIVALENTS OF PERCENTS Percent 7. FRACTIONAL AND DECIMAL EQUIVALENTS OF PERCENTS Percent means out of 00. If you understand this concept, it then becomes very easy to change a percent to an equivalent decimal or fraction. %

More information

Year 6 Spring Term Week 3 to 4 Number: Percentages

Year 6 Spring Term Week 3 to 4 Number: Percentages 1 Fractions to percentages Equivalent FDP Order FDP Percentage of an amount (1) Percentage of an amount (2) Percentages missing values Solve problems involving the calculation of percentages [for example,

More information

6th Grade Mathematics. STAAR Study Guide. This Study Guide belongs to:

6th Grade Mathematics. STAAR Study Guide. This Study Guide belongs to: This Study Guide belongs to: TABLE OF CONTENTS Absolute Value & Opposite of a Number Page 7 Additive & Multiplicative Relationships Page 3 Area & Volume (Rec, Parallelogram) Page 1 Area & Volume (Trapezoid

More information

MATHEMATICS AND STATISTICS 1.1

MATHEMATICS AND STATISTICS 1.1 MATHEMATICS AND STATISTICS. Apply numeric reasoning in solving problems Internally assessed credits Factors, multiples and primes The set of whole numbers is infinite (continues without end). 0,, 2,,,

More information

Final Exam Review - MAT 0028

Final Exam Review - MAT 0028 Final Exam Review - MAT 0028 All questions on the final exam are multiple choice. You will be graded on your letter choices only - no partial credit will be awarded. To maximize the benefit of this review,

More information

CHAPTER 7: RELATING FRACTIONS, DECIMALS, AND PERCENTS

CHAPTER 7: RELATING FRACTIONS, DECIMALS, AND PERCENTS CHAPTER 7: RELATING FRACTIONS, DECIMALS, AND PERCENTS 7. CONVERTING FRACTIONS TO DECIMALS P. -3 7. CONVERTING DECIMALS TO FRACTIONS P. 4-5 7.3 CONVERTING DECIMALS AND PERCENTS P. 6-7 7.4 CONVERSIONS REVIEW

More information

REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev 1 (Note: No calculators are allowed at the time of the test.)

REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev 1 (Note: No calculators are allowed at the time of the test.) - - REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev (Note: No calculators are allowed at the time of the test.). 9 + 67 =. 97 7 =. 7 X 6 =. 6 7 =. = 6. 6 7 7. Anne saves $7 every month out of

More information

Name Date

Name Date NEW DORP HIGH SCHOOL Deirdre A. DeAngelis, Principal MATHEMATICS DEPARTMENT Li Pan, Assistant Principal Name Date Summer Math Assignment for a Student whose Official Class starts with 7, 8, and 9 Directions:

More information

UNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES.

UNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES. UNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES. 3.1. POWERS 3.1.1. POWERS OF INTEGERS A power is an abbreviated way of writing a product of equal factors. a a a a a = a in powers, the repeated

More information

Things to Learn (Key words, Notation & Formulae)

Things to Learn (Key words, Notation & Formulae) Things to Learn (Key words, Notation & Formulae) Key words: Percentage This means per 100 or out of 100 Equivalent Equivalent fractions, decimals and percentages have the same value. Example words Rise,

More information

troduction to Algebra

troduction to Algebra Chapter Six Percent Percents, Decimals, and Fractions Understanding Percent The word percent comes from the Latin phrase per centum,, which means per 100. Percent means per one hundred. The % symbol is

More information

Contents. Solving Real-World Problems with Ratios and Percents Using Proportional Relationships to Solve Multi-Step Problems

Contents. Solving Real-World Problems with Ratios and Percents Using Proportional Relationships to Solve Multi-Step Problems Contents New York State Common Core Learning Standards for Mathematics Lesson Computing Unit Rates... Lesson Identifying the Constant of Proportionality... 7.RP. 7.RP..b Lesson Lesson Solving Real-World

More information

10% is 8, and 1% is 0.8. ACTIVITY: Finding 10% of a Number. a. How did Newton know that 10% of 80 is 8? = 10 =

10% is 8, and 1% is 0.8. ACTIVITY: Finding 10% of a Number. a. How did Newton know that 10% of 80 is 8? = 10 = 5.6 Solving Percent Problems percent of a number? How can you use mental math to find the I have a secret way for finding 2% of 80. 0% is 8, and % is 0.8. So, 2% is 8 + 8 + 0.8 = 6.8. ACTIVITY: Finding

More information

1.3 Real World and Mathematical Problems

1.3 Real World and Mathematical Problems .3. Real World and Mathematical Problems with Rational Numbers - 7.NS.3 www.ck2.org.3 Real World and Mathematical Problems with Rational Numbers - 7.NS.3 Students will change between equivalent forms of

More information

Edexcel past paper questions. Core Mathematics 4. Binomial Expansions

Edexcel past paper questions. Core Mathematics 4. Binomial Expansions Edexcel past paper questions Core Mathematics 4 Binomial Expansions Edited by: K V Kumaran Email: kvkumaran@gmail.com C4 Binomial Page Binomial Series C4 By the end of this unit you should be able to obtain

More information

ACCUPLACER Elementary Algebra Assessment Preparation Guide

ACCUPLACER Elementary Algebra Assessment Preparation Guide ACCUPLACER Elementary Algebra Assessment Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre

More information

A2 7th grade Number system cont Subject: Mathematics State: Michigan

A2 7th grade Number system cont Subject: Mathematics State: Michigan A 7th grade Number system cont Subject: Mathematics State: Michigan Student Name: Teacher Name: School Name: 117 1 Malia found a "short cut" to find the decimal representation of the fraction. Rather 0

More information

ARITHMETIC CLAST MATHEMATICS COMPETENCIES. Solve real-world problems which do not require the use of variables and do

ARITHMETIC CLAST MATHEMATICS COMPETENCIES. Solve real-world problems which do not require the use of variables and do ARITHMETIC CLAST MATHEMATICS COMPETENCIES IAa IAb: IA2a: IA2b: IA3: IA4: IIA: IIA2: IIA3: IIA4: IIA5: IIIA: IVA: IVA2: IVA3: Add and subtract rational numbers Multiply and divide rational numbers Add and

More information

Number Sense AP Book 7, Part 2: Unit 1

Number Sense AP Book 7, Part 2: Unit 1 Number Sense AP Book, Part : Unit AP Book NS- page. A. 0. B. 0.00 C. 0. D. 0.0 E. 0.0. a) = 0. = 0. = 0. 0 = 0. 0 = 0. 0 = 0. 0 0. Teacher to check.. a) 0 0 0 0 0 0. a) i) Numerators start at and increase

More information

BUSINESS MATH DEMYSTIFIED

BUSINESS MATH DEMYSTIFIED BUSINESS MATH DEMYSTIFIED Accounting Demystified Advanced Statistics Demystified Algebra Demystified Anatomy Demystified asp.net 2.0 Demystified Astronomy Demystified Biology Demystified Biotechnology

More information

Adding & Subtracting Percents

Adding & Subtracting Percents Ch. 5 PERCENTS Percents can be defined in terms of a ratio or in terms of a fraction. Percent as a fraction a percent is a special fraction whose denominator is. Percent as a ratio a comparison between

More information