Relate Tenths and Decimals
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1 Lesson 9.1 Relate Tenths and Decimals Write the fraction and the decimal that are shown by the point on the number line Step 1 Count the number of equal parts of the whole shown on the number line. There are ten equal parts. This tells you that the number line shows tenths. Step 2 Label the number line with the missing fractions. What fraction is shown by the point on the number line? The fraction shown by the point on the number line is 8. Step 3 Label the number line with the missing decimals. What decimal is shown by the point on the number line? The decimal shown by the point on the number line is 0.8. So, the fraction and decimal shown by the point on the number line are 8 and 0.8. Write the fraction or mixed number and the decimal shown by the model
2 Lesson 9.1 Enrich Model, Decimal, and Fraction In each row of the table below, a model, a decimal, and a fraction or mixed number are shown for the same amount. Fill in the missing information. Model 1. Decimal 0.1 Fraction or Mixed Number In addition to the models used, in what other way could you represent the decimals, fractions, and mixed numbers? 8. Describe how you filled in the missing model and fraction when only the decimal 1.4 was given. 9-6 Enrich
3 Lesson 9.3 Equivalent Fractions and Decimals Lori ran 0 20 mile. How many tenths of a mile did she run? Write 0 20 as an equivalent fraction with a denominator of. Step 1 Think: is a common factor of the numerator and the denominator. Step 2 Divide the numerator and denominator by So, Lori ran 2 mile Use a place-value chart. Step 1 Write 0 20 as an equivalent decimal. Ones. Tenths Hundredths Step 2 Think: 20 hundredths is 2 tenths 0 hundredths Ones. Tenths 0. 2 So, Lori ran 0.2 mile. Write the number as hundredths in fraction form and decimal form Write the number as tenths in fraction form and decimal form
4 Lesson 9.4 Relate Fractions, Decimals, and Money Write the total money amount. Then write the amount as a fraction and as a decimal in terms of a dollar. Step 1 Count the value of coins from greatest to least. Write the total money amount. $ 0.2 $ 0.3 $ 0.40 $ 0.4 $ 0.0 Step 2 Write the total money amount as a fraction of a dollar. The total money amount is $0.0, which is the same as 0 cents. Think: There are 0 cents in a dollar. So, the total amount written as a fraction of a dollar is: 0 cents 0 cents 0 0 Step 3 Write the total money amount as a decimal. Think: I can write $0.0 as 0.0. The total money amount is 0 written as a fraction of a dollar, and written as a decimal. Write the total money amount. Then write the amount as a fraction or a mixed number and as a decimal in terms of a dollar
5 Lesson 9. Problem Solving Money Use the strategy act it out to solve the problem. Jessica, Brian, and Grace earned $7.0. They want to share the money equally. How much will each person get? Read the Problem What do I need to find? I need to find the amount of money each person should get. Solve the Problem Show the total amount, $7.0, using 7 one-dollar bills and 2 quarters. What information do I need to use? Share the one-dollar bills equally. I need to use the total amount, $7.0, and divide it by 3, the number of people sharing the money equally. There is 1 one-dollar bill left. How will I use the information? I will use dollar bills and coins to model the total amount and act out the problem. Change the dollar bill that is left for 4 quarters. Now there are 6 quarters. Share the quarters equally. So, each person gets 2 one-dollar bills and 2 quarters, or $ Jacob, Dan, and Nathan were given $6.90 to share equally. How much money will each boy get? 2. Becky, Marlis, and Hallie each earned $2.1 raking leaves. How much did they earn together? 9-13
6 Lesson 9.6 Add Fractional Parts of and 0 Sam uses 0 glass beads for a project. Of the beads, 0 3 are gold and 4 are silver. What fraction of the glass beads are gold or silver? Add 0 3 and 4. Step 1 Decide on a common denominator. Use 0. Step 2 Write 4 as an equivalent fraction with a denominator of Step 3 Add 0 3 So, and Add the numerators Use 0 as the denominator. 7 0 of the glass beads are gold or silver. Add $0.26 and $0.9. Step 1 Write each amount as a fraction of a dollar. $ Step 2 Add 0 26 So, $ $0.9 $0.8. of a dollar $ of a dollar and Step 3 Write the sum as a decimal Add the numerators. 0 is the common denominator. Find the sum = 2. $ $0.2 $
7 Lesson 9.7 Compare Decimals Alfie found 0.2 of a dollar and Gemma found 0.23 of a dollar. Which friend found more money? To compare decimals, you can use a number line. Step 1 Locate each decimal on a number line Step 2 The number farther to the right is greater , so Gemma found more money. To compare decimals, you can compare equal-size parts. Step 1 Write 0.2 as a decimal in hundredths. 0.2 is 2 tenths, which is equivalent to 20 hundredths Step 2 Compare. 23 hundredths is greater than 20 hundredths, so So, Gemma found more money. Compare. Write,,., or
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Section 14 Part 1 SLIDE 1 Real Estate Computations and Closing (Cover Page) SLIDE 2 TOPICS In this section we will cover the following topics: I. Basic Real Estate Computations II. III. IV. Preliminary
Investigation 3: Markups, Markdowns, and Measures: Using Ratios, Percents, and Proportions
Comparing and Scaling: Ratios, Rates, Percents & Proportions Name: Per: Investigation 3: Markups, Markdowns, and Measures: Using Ratios, Percents, and Proportions Standards: 7.RP.1: Compute unit rates
Calculating Markup: A Merchandising Tool
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Multiply and divide by 10 and 100. Introduction. Additional materials Numeracy Level 1
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Percent Word Problems: What Number is Missing?
Percent Word Problems: What Number is Missing? P-WP Instructions: For each of these word problems involving percents, figure out which number is missing. Is it the Part, the Total or the Percent? Circle
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