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Mastering Decimal Multiplication: Examples and Guided Practice

This resource provides a comprehensive guide to multiplying decimals with clear examples and practical exercises. Learn how to handle decimal places effectively, ensuring accuracy in calculations. The two detailed examples illustrate the steps involved in multiplying decimals and verifying the reasonableness of answers. Additionally, guided practice problems allow learners to apply the concepts and check their understanding. Ideal for students seeking to strengthen their math skills, this guide emphasizes clarity and practice in mastering decimal multiplication.

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Mastering Decimal Multiplication: Examples and Guided Practice

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  1. +2 decimal places 0.41 EXAMPLE 1 Multiplying Decimals 5.82 2 decimal places 582 2328 2.3862 4 decimal places

  2. 18 +0 decimal places 645 ANSWER 6.4518=116.1 Check: Because620=120, the product is reasonable. EXAMPLE 2 Multiplying Decimals a. 6.45 2 decimal places 5160 116.10 2 decimal places

  3. 0.06 + 2 decimal places ANSWER 1.2730.06=0.07638 Check: Because 10.06=0.06, the product is reasonable. EXAMPLE 2 Multiplying Decimals b. 1.273 3 decimal places 0.07638 5decimal places

  4. 1. 1.4 7.2 2. 0.98 0.21 3. 2.351 1.6 ANSWER ANSWER ANSWER 10.08 0.2058 3.7616 EXAMPLE 2 GUIDED PRACTICE for Examples 1 and 2 Find the product. Then check that your answer is reasonable.

  5. ANSWER ANSWER ANSWER 8.476 2.108 4.0424 EXAMPLE 2 GUIDED PRACTICE for Examples 1 and 2 Evaluate the expression when m=3.26 and n=1.24. 4. 2.6 m 5. 1.7 n 6. mn

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