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EXAMPLE 1 Using a Model to Multiply Decimals Sloths The sloth is commonly referred to as the “slowest mammal on Earth.” Its top speed on the ground is about 0.2 mile per hour. To find the farthest a sloth might go in 0.6 hour, use a model to find 0.2 0.6.
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Draw a 10 10 square. The whole square represents 1. The width of each row or column is 1 tenth, or 0.1. EXAMPLE 1 STEP 1 Using a Model to Multiply Decimals Sloths SOLUTION The sloth is commonly referred to as the “slowest mammal on Earth.” Its top speed on the ground is about 0.2 mile per hour. To find the farthest a sloth might go in 0.6 hour, use a model to find 0.2 0.6.
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EXAMPLE 1 STEP 2 Shade a 0.2 0.6 rectangle. Each small square represents 1 hundredth, or 0.01. The shaded area consists of 12 squares, or 12 hundredths. So, Using a Model to Multiply Decimals 0.2 0.6 = 0.12.
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EXAMPLE 1 STEP 2 Shade a 0.2 0.6 rectangle. Each small square represents 1 hundredth, or 0.01. The shaded area consists of 12 squares, or 12 hundredths. So, Using a Model to Multiply Decimals ANSWER The farthest a sloth might go in 0.6 hour is 0.12 mile. 0.2 0.6 = 0.12.
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GUIDED PRACTICE for Example 1 Draw a model to find the product. 0.1 0.7 1.
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GUIDED PRACTICE for Example 1 Draw a model to find the product. Draw a 10 10 square. The whole square represents 1. The width of each row or column is 1 tenth, or 0.1. STEP 1 SOLUTION 0.1 0.7 1.
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STEP 2 Shade a 0.1 0.7 rectangle. Each small square represents 1 hundredth, or 0.01. The shaded area consists of 7 squares, or 7 hundredths. So, ANSWER GUIDED PRACTICE for Example 1 0.07 0.1 0.7 = 0.07.
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GUIDED PRACTICE for Example 1 0.3 0.8 2.
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GUIDED PRACTICE for Example 1 Draw a 10 10 square. The whole square represents 1. The width of each row or column is 1 tenth, or 0.1. STEP 1 SOLUTION 0.3 0.8 2.
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Shade a 0.3 0.8 rectangle. Each small square represents 1 hundredth, or 0.01. The shaded area consists of 24 squares, or 24 hundredths. So, STEP 2 ANSWER GUIDED PRACTICE for Example 1 0.24 0.3 0.8 = 0.24.
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GUIDED PRACTICE for Example 1 0.9 0.7 3.
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GUIDED PRACTICE for Example 1 Draw a 10 10 square. The whole square represents 1. The width of each row or column is 1 tenth, or 0.1. STEP 1 SOLUTION 0.9 0.7 3.
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0.9 0.7 = 0.63. STEP 2 Shade a 0.9 0.7 rectangle. Each small square represents 1 hundredth, or 0.01. The shaded area consists of 63 squares, or 63 hundredths. So, GUIDED PRACTICE for Example 1 ANSWER 0.63
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