1. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 3 Decimals

2. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Multiplying Decimals 3.4

3. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Multiplying Decimals 1.Multiply the numbers just as you would multiply whole numbers. 2.Find the sum of the decimal places in the two factors. 3.Place the decimal point in the product so that the product has the same number of decimal places as the sum in step 2. You may need to write zeros to the left of the number found in step 1. The multiplication of decimals is related to the multiplication of fractions. one decimal place two decimal places three decimal places

4. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Multiplying Decimals Example: Multiply 0.17  0.4. 2 decimal places 1 decimal place 3 decimal places in product (2 + 1 = 3) 0.068

5. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Multiplying Decimals Example: Multiply 0.043  0.012. 3 decimal places 6 decimal places in product (3 + 3 = 6) 86 43 0.000 Note the we need to insert three zeros before the 516. 516

6. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Multiplying by a Power of 10 Observe the following pattern. 0.025  10 1 = 0.025  10 = 0.25 one zeroDecimal point moved one place to the right. 0.025  10 2 = 0.025  100 = 2.5 two zerosDecimal point moved two places to the right. 0.025  10 3 = 0.025  1000 = 25 three zerosDecimal point moved three places to the right.

7. Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Multiplying by a Power of 10 Multiplication of a Decimal by a Power of 10 To multiply a decimal by a power of 10, move the decimal point to the right the same number of places as the number of zeros in the power of 10. Example: Multiply 4.59  10,000. 4.59  10,000 = 45,900 four zeros Decimal point moved four places to the right.