30.0 6.0 0.1 0.02

1. Kristina has 4.5 pounds of taffy. She wants to share it evenly among 10 people. How much taffy will each person receive?

2. In this lesson you will learn how to divide decimal numbers by powers of 10 by using what you know about place value.

3. 30.0 6.0 0.1 0.02 0.005 + 3 6 1 2 5 36. 2 1 5

4. 15.6 ÷ 3 = 5.2 quotient dividend divisor

5. 20.6÷ 10 (20 + 0.6) ÷ 10 (20 ÷ 10) (0.6 ÷ 10) + 2.06 = 2 0.06 +

6. Not thinking about the place value of the digits when dividing. 60.4 ÷ 100 (60 ÷ 100) + (4 ÷ 100) = 0.64 (60 ÷ 100) + (0.4 ÷ 100) = 0.604

7. The value of the exponent tells us how many times ten is multiplied by itself. We can also say that the number of zeros in the product is equal to the value of the exponent. Powers of 10 10 1 x 10 101 = 10 x 10 100 102 = 10 x 10 x 10 1,000 103 = 10,000 10 x 10 x 10 x 10 104 = 10 x 10 x 10 x 10 x 10 100,000 105 =

8. = 1.0 = 0.01 = 0.1

9. = 0.13 1.3÷ 10 (1.0÷ 10) (0.3÷ 10) + = 0.1 = 0.03

10. Each time you divide a decimal by a power of 10, the digits in the quotient shift to the right. Do you notice any patterns in the dividends and the quotients? 1 . 3 1.3 ÷1 1 . 3 1 3 . 1.3 ÷ 10 1 . 3 . 0 1 3 1 3 1.3 ÷100

11. Each time you divide a decimal by a power of 10, the decimal point shifts to the left the same number of places as the value of the exponent. But what is happening to the location of the decimal point? 1.3 ÷1 =1.3 1.3 ÷101 = 0.13 1 1.3 ÷ 102 = 0.013 2

12. 4.5 ÷ 10 0.45 4.5 = I can move the decimal point one place to the left in 4.5 This makes sense because 0.45 is 10 times smaller than 4.5

13. In this lesson you have learned how to divide decimal numbers by powers of 10 by using what you know about place value.