To change a decimal to a percent, move the Veucimal point two places to the right and write a % sign. pl "

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1 Aids to Know,, What Is a Percent? is. Work with Percents, Percent means "per hundred!' The symbol % also means percent or "per hundred:' Percent is a business term going back to the Roman times which is still used To measure interest rates, commission rates, mark-ups, discounts, and tairates. I I ii.. Percent is another way of writing a fraction with a denominator oil 00. You can see how decimals, fractions, and percents are three ways of saying the same amount: I I say, "thirty hundredths say, "thirty hundredths" 00 30% say, "thirty percent,". which means "thirty per hundred" I I Changing Decimals to Percents I I To change a decimal to a percent, move the Veucimal point two places to the right and write a % sign. Sample: Change.6 to percent.6 =.6= 6% " No need to put the decimal poi ni to the right ea whple number. Sample: Change.4 to a perceni...4=.s= 404, You need to add a zero in order to move the-decimal point two places. pl " Sample: Change.05 to a percent..05 = 0 5 =.5% Moving the decimal two places puts it in the middle of 5. Sample: Change.6 2 to a percent..6i=s5-2 =-6% You don't need to put the decimal point between the whole number and the fraction. Changing Percents to Decimals To change percents to decimals, do the reverse of what you did with the decimal point in changing decimals to percents move it to the left. I I ' f I Sample: Change 6% to a decimal. 6% = =.06 Step 0. Remove the % sign. Step 2 0- Move the decimal Pat 2 places to the left. If you don't see a decimal point, there is an imaginary one to the right of the number. Step 3 Place zeros in front if necessary. No matter how many places there are in a number, the rule is the same about moving the decimal. Samples: 300% = 340 or 3 75% = 75. = t..a.# txr C Teacher Created Materials, Inc. 33 #2956 How to Work with Fractions. Dreitnals..

2 Work with Percents acts to Know (cont.).fractional Percents A fractional percent is a number such as 3% or 5-%. First change the fraction to a decimal (See Unit 7). Then follow the same steps for changing a percent to a decimal. =.3% =.003 =.20% =.0020 iir Changing Percents to Fractions To change a percent to a fraction, follow these steps: Sample: Change 30% to a fraction. Step.'-0.- Remove the percent sign. 30% Step 2'!--.- Make the number the numerator of the fraction. Step Write 00 for the denominator. ', i, Step Simplify the fraction, if possible. A = A ':hanging t Fractions to Percents change a fraction to a percent, follow these steps: Sample: Changei to a percent., Step --I.- Change the fraction to a decimal. Divide the numerator 5 by the denominator 8. Step 2... Follow the rules for changing a decimal to a percent. S..625 = 62.5% = 8) ao Finding a Percent of a Number To find a percent of a.number, change the percent to a fraction or a decimal and multiply. Sample: Your teacher says that only 4% of two classes totaling 50 students will be awarded tickets to a baseball game. How many students will receive tickets? You want to find 4% or Step l' 4 of 50. Change 4% to a fraction or to a decimal. Step 2 Multiply 50 by the fraction r -0 4 or the decimal.04. ih c final answer is 2 tickets because 4% of 50 is 2. As a fraction 4% = (or) f-t0 4 As a decimal 4% =.04 I x 7 _ T. 2 = 2 or.04 x 50 = 2 Am. Untoriah

3 WHAT PERCENT IS SHADED? Estimate the percent shaded in each square. Discuss your estimates in your group and then use a transparent 00-grid to check them. Recorq if your estimates were good faj.r or awful * a* ' r.. 4 a I,. 4 4 r 44 : I 4 4 A. r ,...., I 2., " , It,.., r " i 4 / 4, / I, ". I. "" -. " " - - _.' I l',,. I,. I '... I t I, 4. :. r...,, I 4 i t I a' s., '.., I. P. " I. t 'LI ii s i 4, a I. I ea e I -. Estimate Answer Estimate Answer Estimate Answer --. 4, I S 4, I I. I I ' I - '. " Am,. " (!. 4. / I s I. I r - Estimate Answer Estimate Answer 5. :4 " 5... '. ;..;.% -. Estimate Answer Estimate Answer Estimate Answer Estimate Answer 989 CUISENAIRE COMPANY OF AMERICA. INC.

4 C., (G eaoa PERCENT DECIMAL.. 5:... 0,0,, I.' f'..4 Adtto, FRI CTION.,.. koo.. If, a5" 3cr, 0 AO.., ', :,... I. If. Ao 0.2( I, 0. 5o 'I '., go II too - /to 0 n "...,... o.q5 If \ )(00 = it 0 7. " = 5D,. Aq5 ". 378 (6/9-2/3 94a tki (0 _

5 v_aa.earhfrig Percents and decimals conversion Grade 6 Percents Worksheet Convert the percents into decimals and the decimals to percents.. 89 % = 2' 0.66 = % = 4. 94% = 5. 4Q% = % = 7. 9 % = 8. 37% = 9' 0.65= 8 % = = 2' 0.38 = 3. 4 % = % = % = % = 7' 0.48 = = 9' 0.93 = 20' 0.56 = Online reading & math for K-5

6 ickartiring Percents and decimals conversion Grade 6 Percents Worksheet Convert the percents into decimals and the decimals to percents. 0.5 = 50 % 2. 6 A = i% = % = ' 89 ' = ' 54% = ' 0.9 = go % 8' 0.08 = 8 "Yo a 0.7 = % 0.73 = 73%. 0.7 =7 % 2. 44% = ' 0.74 = 74% 68 % = ' 0.67 = 87 A 8. 39% = % = ' 0.76 = 78 % 9' 85 % 20. = % = 0.3 Online reading & math for

7 arget Numb!..rs: For each line below, indicate the number which would be found at the benchmarks. In each case, be prepaited to explain how you were able to arrive at your answers by 'oing mental calculations. " 25% 50%. 75% 00% % % 0% 0: %, t 2.4 4) 5) 0% 25% %

8 Exercise A. 'Target Numbiers: % 25% 50% 75% 00% For each line below, indicate the number which wobld be found at the benchmarks. In each case, be prepared to explain how you were able to arrive at your answers by doing mental calculations.. 0% 25% 50% 75% 00% I 3) 0% 0.25 ' % I B. Fill in the blanks: ) 50% of 66 = 2) % of 36 is 36 3) 50% of $0.28 is 4) 0.25(22) = s) 50% of = $7.35 6) - of 0.90 is 2 7) 25% of 220 is 8) one quarter of is 7 9) 0.25 x (804) = 0) 0.75(804) = II) 25% of 60 is 2) 75% X 60 =

9 Fraction Decimal Percent Chart Money is a great way to represent decimals. Fill in the money column to help you make connections where appropriate. Easy Picture Fractions Representation Decmals i Money Representation Percents 2 t) % c'40) % y % 3 C % % % % % ' % y- % 6 8 (it, i- 2 - % 3 (li % / ( 0.0 D 0% S % % %

10 Name: Teacher: Score: Date: Converting Between Percents, Decimals, and Fractions Convert Decimal to Percent.67 =. =.67 = 0.56 = = 0.24 = Convert Percent to Decimal 88 % = 4 % = 2.7% = 8% = 94 % = 68.2 % = Convert Decimal to Fraction.9= 0.87 =.68 = = = 0. = Convert Fraction to Decimal 6 3 _ 6 _ _ 8 25 = = Convert Fraction to Percent 3 _ 8 _ o_ _ 25 = 0 = 40 Convert Percent to Fraction 2 % = 70 % = 24 % = 9 % = 48 % = 67 % = 0

11 Name: Date,- -- Percen Represen and describe parts o a whole using percents.. What percent does the coloured part of each grid show? What percent does the white part of each grid show? a) c) At-Home Help A percent is a part-to-whole ratio that compares a number to a whole divided into 00 equal parts. For example, 25% = or. The symbol % is read percent. coloured part- coloured part- A hundredths grid can be used to represent 00%. white part: white part: b) d) 25 of the 00 squares are grey. So 25% of the grid is grey. coloured part: % coloured part: 75 of the 00 squares are white. So 75% of the grid is white part: white part cyo white. 2. Colour each percent or ratio on the hundredths grid. a) 33% b) Nelson Mall? Focus 6 Workbook Blackline Masters Copyright 0200.by.Nelson.Education Ltd.

12 Name: Date: Percents as Fractions or Decimals Relate percents to equivalent fractions and decimals.. Complete the chart below. Equivalent Forms Percent Fraction Decimal At-Home Help A percent can be expressed as a fraction and as a decimal. 5% 0.6 For example, 25% is the same as 25 or It is also the 00, same as ' % 2. Write each percent as a fraction and as a decimal. a) 50% fraction: decimal. b) 5% fraction decimal: c) 8% fraction- decimal. d) 83% fraction: decimal. 3. Colour the hundredths grid to show each fraction or decimal. Write the equivalent percent and the equivalent decimal or fraction. a) b) 0.2 percent: decimal: percent. fraction: Copyright 0 20,0.by Nelson Education Ltd. Chapter 6: Fiatio,ancliPercent 45:

13 Name: Date. Solving Percent Problems Estimate and calculate percents to solve problems. ' Use the number line to answer the questions. 0% 25% 50% 75% 00% I. Decide whether each estimate seems reasonable by answering yes or no. a) 50% of 80 is about 42. b) 0% of 3 is about 3 c) 80% of 50 is about Calculate each percent. a) 50% of 30 = b) 0% of 70 = At-Home Help You can use a number line to help you figure out percents. For example, calculate 25% of % 25% 50% 75% 00% % is % is the same as Divide 200 by 4 to figure out 25% =50 So 25% of 200 = 50. c) 60% of 200 = 3. Armen has 2 math problems for homework. On Saturday, he finished 25% of the problems. How many problems did Armen finish on Saturday? 4. Sara's class went on a trip to the zoo. There are 26 sections at the zoo. Sara's class visited 40% of the zoo before lunch. About how many sections did the students visit? Copyright by Nelson Education Ltd. Chapter 6: Ratio and Percent 47

14 Name: Date' Communicating,about Rati and Percents Use clear language to describe how to solve, ratio and percent problems.. Sonja has 20 coloured pencils. She used five of the pencils to draw a picture of herself. Explain how to calculate the percent of the pencils that Sonja used. Communication Checklist Did you show all your steps? Did you check your answer? Did you use a diagram to support your explanation? 2. Dave got $60 for his birthday. He wants to put 40% of this money in the bank. Explain how to estimate 40% of $ Nelson Math Focus '4 WorkboOkt3laCkiine Masters -copytight:p2bc.).b.$?..n ed 006..Ltd:

15 edhelper.com Page of 4 Name HelDer. Date cc (Answer ID # ) Mixed Review Write each percent as a ratio in simplest form... 74% 2. 9% 3. 20% 4. 2% 5. 38% 6. 45% 7. 53% 8. 66% 9. 8% 0. 7% Complete.. How students get to school AD Bike 8% Bo Take the bus 50% CoDrive 2% D Et Walk 2% a. If the school has 07 students, how many students walk to school? b. What fraction of the students bike to school? Find the Dercent of each number. Round your answer to the nearest tenth % of % of % of % of % of % of 93 i, / / '/Lin/lin

16 edhelper.com Page 2 of 4 Write each percent as a decimal % 9. 46% 20. 8% 2. 73% 22. 7% % % 25. 7% % % Find the percent of each number. Round your answer to the nearest tenth % of % of % of % of % of % of 0 Complete. 34. Fill in a number and a percent to make this statement true: % of Explain a method for converting any decimal number into a percent. Write each fraction as a nercent ' ,4--, //mmm srarihcatraetridrsr. nr; /C/

17 Suppose a Base Ten flat represents whole. What fraction does this picture represent? Which decimal names this amount? ' : e99 0e ,44he. You will need Base Ten Blocks. A group of students was planning to go hiking in Dinosaur Provincial Park in Alberta. The students were surveyed to find out which hike they would most like to take. Hike Number of Students Camel's End Coulee Hike 2 Centrosaurus Bone Bed Hike 24 Great Badlands Hike 33 _ Fossil Safari Hike 22 >- How many students are in the group.? How do you know? >- What fraction of the students chose each hike?.> How else can you name each amount? Use Base Ten Blocks to model each amount. >- What fraction of the students did not choose the Great Badlands Hike? How did you find out? Show and Share Compare strategies for renaming each amount with another pair of students. If you used the same strategy, work together to find a different way. 'I 86 SSoN Focus I Use a percent to express a quantity less than or equal to.

18 000 00eoe0000meeiDoeeoe.Goeoeeee The hundredths grid represents whole. irmse4 ENEME EMMEN EMEME rmaist MEW EWAN' NIENEEM EINEMENE ED ENNEME.EIVI = Here are 4 ways to describe the green part of the grid. >- Compare the number of green squares to the total number of squares: 45 out of 00 squares are green >- Write a fraction of the grid is green. >- Write a decimal of the grid is green. >- Write a percent. 45% of the grid is green. Percent is another name for hundredths. % is the percent symbol. A percent is a special ratio that compares a number to % meare45 out of 00" or"45 per hundred."' We can describe the blue part of the grid in the same 4 ways. 55 out of 00 squares are blue. 55 of the grid is blue. > of the grid is blue. You read 55% as 55 percent Percent means "per hundred" or "out of 00." - 55% of the grid is blue. Unit 5 Lesson 7 87

19 om000000m eom s000000e Write: a fraction with hundredths a decimal a percent to name the shaded part of each grid. a) - b) '. ormimmi RO MENWEINIMM IIII WEEMMEMMIN IEMERMIEMIN 2. Write: a fraction with hundredths a decimal - a percent to name the unshaded part of each grid in question. 3. For each grid in question, add the percents you used to name the shaded and unshaded parts. What do you notice? Why do you think this happens? 4. Estimate the percent of each grid that is shaded. Then count the squares to check. a) MIN" TRIM MIR b) mill c) MEM ME ROWE IMINEME'd HE RAMIE R WNW -BEM IIENIS Min ME III AIR a na' ME ZEE 'I '.. IIIIIII '( M. WPM EMI EN I 'I ' lual.. EOM!RE l - III ' I_ U...' Ea ION 9 ',EMI VIE -2 0 MN ME.. - iir, -"- 5. Use Base Ten Blocks to show each percent. Then write each percent as a decimal. W 84%. b) 7% c) 25% d) 00% 6. a) Use a hundredths grid. Colour 20% red, 3% blue, 32% green, and 23% yellow. b) Write a fraction to describe the part of the grid that is each colour. c) Write a decimal and a percent to describe the part of the grid that is not coloured. 7. a) Use a hundredths grid. Choose a different colour for each hike in Explore. Colour a section of the grid to show the fraction of students who chose that hike. b) Write a percent to describe each section of the grid in part a. 88 Unit 5 Lesson 7

20 8. Write as a percent. Then write as a decimal. 50 a) 64 out of 00 b) Tad c) out of 00 7 ci) Write each percent as a fraction with hundredths. Then write as a decimal. a) 3% b) 5% c) 79% d) 64% 0. Ninety-seven percent of Earth's water is salt water. What percent is freshwater? How do you know?. The graph shows the water contents of some foods. - 00% Water Contents of Some Foods Li 0% Apple I I I I I r WItermelon Orange Food Potato a) About what percent of each food is water? b) About what percent of each food is not water? c) Write each percent in the graph as a fraction. 2. Janette bought a portable CD player on sale. The regular price was $00. She was charged $89. a) What percent of the regular price did Janette pay? b) What percent of the regular price did she receive as a discount? 3. Salvo said that of the 00 singers in a children's choir in Whitehorse, 62% are girls and 48% are boys. Is this possible? Use words and pictures to explain. s.'="4,-;',--4t, What does percent mean? Use words and pictures to explain. Percents are often used to describe discounts. Look through some flyers your family receives in the mail. List 3 different percents you see offered as discounts: Order the percents from greatest to least. Which is the best discount? _4 g 7 I AO

21 How can you describe each part of this design? ee You will need a 0-cm by 0-cm grid. >- Make a design on the grid. Your design must follow these guidelines: The design must use only 4 colours: orange blue green red 7 At least of the squares must be coloured. At least 4% of the squares must be coloured blue. No more than 8% of the squares can be coloured orange. At least 0.5 of the squares must be coloured green or red. >- Describe each colour of your design as a fraction, a decimal, and a percent. Because of place value, I know I can write a fraction like 40- as 5 hundredths, or 0.5. Show and Share Share your design with another pair of students. How are your designs alike? How are they different? What is the greatest percent of blank squares you could have in your design? Explain. ' 90:LESSON Focus I Relate percents to fractions and decimals.

22 ....:" , e 000 >- Fractions, decimals, and percents are 3 ways to describe parts of one whole. 25 A fraction can be written as a decimal or a percent. A decimal can be written as a fraction or a percent. A percent can be written as a fraction or a decimal % You can use a percent to describe any part of onewhole. whole = 00% What percent of this shape is shaded? 4, ji 3-4 of the shape is shaded. 25, Percent means "out of 00,"so we need to write an equivalent fraction with hundredths = 252( 75% of the shape is shaded. 75 is the same as So, 0.75 of the shape is shaded. >- What percent of this set of counters are yellow? oc of the counters are yellow And, = 0.50 = 50% 50% of the counters are yellow. Lesson 8 9

23 - A fish tank contains rainbow fish and goldfish. The ratio of rainbow fish to goldfish in the tank is :4. What percent of the fish are rainbow fish? out of 5 fish are rainbow fish. = 0.20 And, 0.20 = 20% 20% of the fish are rainbow fish * Draw Base Ten Blocks or shade a hundredths grid to represent each fraction. Write each fraction as a percent and as a decimal., a) 00 b) e) f) g) h) 2. Draw Base Ten Blocks or shade a hundredths grid to represent each decimal. Write each decimal as a fraction and as a percent. a) 0.97 e) 0.65 b) 0.03 f) 0.24 c) 0.6 d) 0.5 g) 0.09 h) Draw Base Ten Blocks or shade a hundredths grid to represent each percent. Write each percent as a fraction and as a decimal. a) 4% b) 99% c) 25% d) 40% e) 35% f) 6% g) 90% h) 5% 4. What percent of each whole is_shaded? Show how you found your answers. a) b) z I: I. 6- f ; 92 Unit 5 Lesson 8'

24 5. What percent of each set is sh aded? Show how you found your an swers. a) Is each fraction greater than or less than 50%? Explain how you know. 7 3 a) 7$3 b) b) 4> 4k c) El 0 <> <> <> <> <> <> NNLU <> <> <> <> <> <> RN a <> <> <> <> <> <> El 0 PE 0 El c) Luis used a calculator to find a decimal and a percent equal to How might Luis have done this? Use the data in the table. Is each statement true or false? Explain how you know. a) More than 50% of the audience were adults or seniors. 58 b) Of the audience, were children or teens. c) More than :4 of the audience were adults. d) Less than 0.5 of the audience were teens or adults. 9. Which is least? Which is greatest? How do you know? 0% m) 0.0 Members of the Audience Age Group Percent ' Children 3% Teens 45% Adults 34% _ Seniors 8% 0. Ravi got 8 out of 20 on a math quiz. Karli got 85% on the quiz. Whose mark was greater? How do you know?. Write a percent that represents: a) a very little of something b) almost all of something 3 c) a little more than of something d) between 0.25 and 0.50 of something How did you choose each percent? How are fractions, decimals, and percents alike? How are they different? Use examples in your explanations. :::ASSESSMENT Focus I Question 8 Unit 5 Lesson 8 93