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In this lesson, students will learn how to multiply and divide decimals, with an emphasis on estimating quotients for reasonableness. The example of dividing 40.2616 by 6.824 illustrates key concepts such as multiplying the divisor and dividend by 1,000 to simplify calculations. Practical applications are demonstrated, such as determining the number of servings in a can of cole slaw. This comprehensive lesson guides learners through relevant calculations, ensuring they understand the placement of decimal points and the process of approximation.
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Estimate 40.2616 ÷ 6.824 42 ÷ 7, or 6 Multiply the divisor and the dividend by 1,000. 5 9 . 6824 40261.6 6.824 40.2616 34120 61416 61416 0 Place the decimal point in the quotient above the decimal point in the dividend. COURSE 2 LESSON 1-3 Multiplying and Dividing Decimals Find 40.2616 ÷ 6.824. Check for Reasonableness The quotient 5.9 is close to the estimate 6. The answer is reasonable. 1-3
2 8 Multiply divisor and dividend by 10. Annex zeros when needed. 3.5 98.0 70 28 0 28 0 0 COURSE 2 LESSON 1-3 Multiplying and Dividing Decimals In a restaurant, one serving of cole slaw weighs 3.5 oz. The owner buys cole slaw in cans that each weigh 98 oz. How many servings are in each can? There are 28 servings in a 98-oz can of cole slaw. 1-3
Find each product or quotient. 1. 0.9 4.25 2. 6.7 8.08 3. 38.164 ÷ 4.7 4. 0.7 ÷ 0.5 COURSE 2 LESSON 1-3 Multiplying and Dividing Decimals 3.825 54.136 8.12 1.4 1-3
