1. CONFIDENTIAL1 “Multiplying Decimals By Decimals”

2. CONFIDENTIALDecimal Multiplication 21 WARM UP 1)5.15 x 10 5 = 515,000 2) 3.14 x 7 = 21.98 3)0.007 x 6 = 0.042 4)99.99 x 3 = 299.97

3. CONFIDENTIALDecimal Multiplication 31 Multiplying Decimals By Decimals When multiplying a decimal by a decimal, multiply as with whole numbers. To place the decimal point, find the sum of the number of decimal places in each factor. The product has the same number of decimal places. Let’s begin today

4. CONFIDENTIALDecimal Multiplication 41 Multiplying Decimals For example: Find 4.2 x 6.7 4.2 4.2 x 6.7 294 294 252 252 28.14 28.14 One decimal place Two decimal places The product is 28.14. Compared to the estimate, the product is reasonable. Estimate 4.2 x 6.7 ->4x7 or 28

5. CONFIDENTIALDecimal Multiplication 51 Multiplying Decimals By Decimals Find 1.6 x 0.09 = 1.6 x0.09 0.144 One decimal place Two decimal place Three decimal place Let’s practice The product is 0.144. Compared to the estimate, the product is reasonable. Estimate: 1.6 x 0.09= 2 x 0=0

6. CONFIDENTIALDecimal Multiplication 61 Multiplying Decimals Your turn! Multiply 0.014 x 3.7 0.014 x 3.7 0.0518

7. CONFIDENTIALDecimal Multiplication 71 Multiply:- 1) 5.7 x 2.8 =15.962) 4.12 x 0.07=0.2884 3) 0.12 x 5.3 =0.636 Practice Problems

8. CONFIDENTIALDecimal Multiplication 81 Tea Break

9. CONFIDENTIALDecimal Multiplication 91 Try to solve http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw- puzzles/12-piece-jigsaw/07-01-06-fworks3.html

10. CONFIDENTIALDecimal Multiplication 101 Let’s check what you understand Now, try to answer. What is the number of decimal places in the product of 5.974 x 3.21 ? The number of decimal places in the product is 5

11. CONFIDENTIALDecimal Multiplication 111 Assessment 2) 0.7 x 2.5 =1.75 1) 1.5 x 0.7 =1.05 3) 0.8 x 2.4 =1.92 4) 9.4 x 0.7 =6.58 5) 0.8 x 0.4 =0.32 6) 0.24 x 0.4 =0.096

12. CONFIDENTIALDecimal Multiplication 121 Assessment 9) 2.6b, if b=2.05 7) 1.4x, if x = 0.0678) 0.04t, If t =3.2 10) 1.33c, if c =0.06 0.09380.128 5.330.0798

13. CONFIDENTIALDecimal Multiplication 131 Life Situation Problems 11) Juan is buying a video game that costs $32.99. The Sales Tax is found by multiplying the cost of the video game by 0.06. What is the cost of the sales tax for the video game? Cost of the Sales tax for the video game = $ 32.99 x 0.06 Cost of the Sales tax for the video game = $ 32.99 x 0.06 = $ 1.9794 =$ 1.98 = $ 1.9794 =$ 1.98

14. CONFIDENTIALDecimal Multiplication 141 Let’s recall what we studied today When multiplying a decimal by a decimal, multiply as with whole numbers. To place the decimal point, find the sum of the number of decimal places in each factor. The product has the same number of decimal places. When multiplying a decimal by a decimal, multiply as with whole numbers. To place the decimal point, find the sum of the number of decimal places in each factor. The product has the same number of decimal places.

15. CONFIDENTIALDecimal Multiplication 151 Wow! We studied a lot. That’s all for today Bye.