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Simplifying Multiplication with Decimals: A Step-by-Step Guide

In this lesson, we explore how to simplify multiplication involving decimals by handling the exponents and decimal places systematically. We start by multiplying the numbers before considering the decimal points. For instance, when calculating 8 × 1.22, we first simplify to 8 × 144, which equals 1152. Next, we account for the decimal places: 1.44 has two decimal places, and 8 has none, leading us to place two decimal places in our final product. Thus, the result of 8 × 1.22 is 11.52.

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Simplifying Multiplication with Decimals: A Step-by-Step Guide

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  1. 4-7 Example 3 Lesson 4-7 Example 3 Find 8 × 1.22. 1.Simplify the factor with the exponent first. 1.2 × 1.2 = 1.44 1.2 has 1 decimal place.1.2 has 1 decimal place. So the product will have 2 decimal places.

  2. 4-7 Example 3 Lesson 4-7 Example 3 Find 8 × 1.22. 2.Multiply, ignoring the decimal point for now. 8 × 144 = 1152

  3. 4-7 Example 3 Lesson 4-7 Example 3 Find 8 × 1.22. 3.1.44 has 2 decimal places. 8 has 0 decimal places.

  4. 4-7 Example 3 Lesson 4-7 Example 3 Find 8 × 1.22. 4.Begin to the right of the product. Count left 2 places. The product is 11.52. 8 × 1.22 = 11.52

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