Name Date Class F 63 H 0.63 B 2.5 D G 6.3 I A 18 C F 60 H 0.6 B 1.8 D 0.018
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1 Name Date Class 3-4 Practice A Multiplying Decimals Multiply. Choose the letter for the best answer A 25 C F 63 H 0.63 B 2.5 D G 6.3 I A 18 C F 60 H 0.6 B 1.8 D G 6 I 0.06 Simplify. Choose the letter for the best answer A 10.8 C (0. 4) 2 F 16 H 0.16 B 1.08 D G 1.6 I A 25.2 C F 357 H 3.57 B 2.52 D G 35.7 I Multiply. Estimate to check whether each answer is reasonable ( 2) ( 5) ( 8) ( 4) Cecile walked 3.7 miles each day for 8 days last month. How many miles total did Cecile walk last month? 207 Holt McDougal Mathematics
2 Name Date Class 3-4 Reading Strategies Compare and Contrast Decimals are multiplied in much the same way that you multiply whole numbers. Multiply Whole Numbers Multiply Decimals Compare multiplying whole numbers to multiplying decimals. 1. What is the same about multiplying whole numbers and decimals? 2. What is different about multiplying whole numbers and decimals? It is important to place the decimal point correctly in the product. Steps for Placing the Decimal Point in the Product Example: Step 1: Find the product Step 2: Count the number of decimal places in each factor. Step 3: Find the total number of decimal places in both numbers. Step 4: Using the number found in Step 3, move that number of places to the left in the product and place the decimal point. 3. How many decimal places are in 0.63? places place 3 places 4. How many decimal places are in 4.231? 5. How many decimal places will be in the product of ? 213 Holt McDougal Mathematics
3 Name Date Class 3-4 Review for Mastery Multiplying Decimals To multiply two decimals: Step 1: Round each number to the nearest integer. Step 2: Multiply the integers to estimate the product. Step 3: Multiply the decimals. Step 4: Place the decimal point in the product to make it closest to the estimate. Multiply: is close to 12. Think: 2.7 rounds to rounds to = 12 Place the decimal point in the product to make it closest to 12. Multiply or simplify rounds to 9.1 rounds to The product is close to. Product: _ 3. (4.1) rounds to The product is close to. Product: _ rounds to 8.8 rounds to The product is close to. Product: _ ( 2.7) 12.3 rounds to 2.7 rounds to The product is close to. Product: _ Simplify. Estimate to place the decimal point ( 4.2) 8. (5.3) Holt McDougal Mathematics
4 Name Date Class 3-4 Problem 1 Student Worksheet Multiplying Decimals Multiply decimal places decimal places k k decimal places in the answer Problem 2 Multiply decimal place 1 k decimal place = 2 decimal places in the answer k Think and Discuss 1. Explain how to determine the number of decimal places in the product of a multiplication problem involving decimal factors. 2. To place the decimal point in the product of two decimals, do you move the decimal point to the left or do you move the decimal point to the right? 3. Explain how to determine if your answer to Problem 1 is reasonable. Copyright by Holt McDougal. 50 Holt McDougal Mathematics All rights reserved.
5 Name Date Class 3-5 Practice A Dividing Decimals Divide. Estimate to check whether your answer is reasonable Divide. Estimate to check whether your answer is reasonable Jessie used 2.7 gallons of gas to drive her car 72.9 miles. What was her car s gas mileage? 14. Ernesto bicycled 267 miles last week at an average speed of 8.9 mi/h. How many hours did he bicycle? 215 Holt McDougal Mathematics
6 Name Date Class 3-5 Reading Strategies Use a Visual Model John has a piece of lumber 1.5 meters long. He needs to cut it into pieces that are 0.3 meter long. How many pieces can he cut? The number line shows a model of the problem. Sarah has 15 feet of yarn. She needs to cut it into lengths of 3 feet each. How many pieces can she cut? The number line shows a model of the problem. Answer each question. 1. Compare the equations for the number lines above. What is the same about the equations? 2. What is different? 3. Compare the quotients of both problems. What do you notice? 4. How can you change 1.5 to 15? 5. How can you change 0.3 to 3? 6. If you moved the decimal point in both the divisor and the dividend, would the quotient change? 222 Holt McDougal Mathematics
7 Name Date Class 3-5 Review for Mastery Dividing Decimals To divide a decimal by a decimal: Step 1: Make the divisor a whole number by moving the decimal point to the right. Step 2: Move the decimal point in the dividend the same number of places. Remember to place the decimal in the quotient directly above the decimal point in the dividend. Step 3: Divide. Divide: The divisor, 0.3, has 1 decimal place. Move the decimal point 1 place to the right in both the divisor and the dividend. Complete a. How many decimal places are in the divisor? b. How many places do you need to move each decimal point? c. Rewrite the division. d. Complete the division. What is the quotient? Divide Holt McDougal Mathematics
8 Name Date Class 3-5 Review for Mastery Dividing Decimals (continued) Sometimes it is necessary to write zeros in the dividend The divisor, 0.25, has 2 decimal places. In order to move the decimal point 2 places to the right in the divisor and the dividend, you need to write 2 zeros in the dividend. Complete a. How many decimal places are in the divisor? b. How many places do you need to move each decimal point? c. How many zeros do you need to write in the dividend? d. Complete the division. What is the quotient? Divide Holt McDougal Mathematics
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