This document provides examples for modeling the multiplication of decimals. It explains that to multiply a whole number by a decimal, you shade that number of groups of the decimal amount. It also explains that to multiply decimals, you shade the first decimal vertically and the second horizontally, and the area shaded twice is the answer. It includes examples of multiplying different decimal combinations like 0.5 x 0.4 and 0.8 x 0.9.

1. How to Model Multiplication of Decimals

2. To model a whole number times a decimal: Example 3 x 0.2 =

3. This is 3 groups of 0.2 so shade in 3 groups of 2 tenths. Example 3 x 0.2 =

4. Example 3 x 0.2 =0.6

5. To model a whole number times a decimal when the answer is greater than 1 Example 0.4 X 5

6. .4 X 5 The Answer is 2

7. To Model decimal x decimal: Example 0.3 x 0.5 =

8. First, shade in the first number vertically. Example 0.3 x 0.5 =

9. Second, shade in the 2nd number horizontally. Example 0.3 x 0.5 =

10. The area that has been shaded twice is the answer. Example 0.3 x 0.5 = .15

11. You try it! 0.5 x 0.4

12. You try it! 0.5 x 0.4

13. 0.5 x 0.4 = 0.20

14. You try it! 0.3 x 0.4

15. 0.3 x 0.4 = 0.12

16. You try it! 0.8 x 0.9

17. 0.8 x 0.9 = 0.72

18. You try it! 0.6 x 0.7

19. 0.6 x 0.7 = 0.42