1. 6-5 Multiplying and Dividing
Decimals
Objective: Multiply and divide
decimals.

2. 5-Minute Check
1. Name the multiplicative inverse of 12/5.

3. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
5/
7

4. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½

5. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½ -4

6. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½
3. n = 5/12 ÷ 7/15

7. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½
3. n = 5/12 ÷ 7/15 /28
25

8. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½
3. n = 5/12 ÷ 7/15
Evaluate each expression if m = 1/3 and n = -2/9
4. m/n

9. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½
3. n = 5/12 ÷ 7/15
Evaluate each expression if m = 1/3 and n = -2/9
4. m/n -1½

10. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½
3. n = 5/12 ÷ 7/15
Evaluate each expression if m = 1/3 and n = -2/9
4. m/n
5. n/m2

11. 5-Minute Check
1. Name the multiplicative inverse of 12/5.
Estimate the solution to each equation. Then solve. Write
the solution in simplest form.
2. x = -6 ÷ 1½
3. n = 5/12 ÷ 7/15
Evaluate each expression if m = 1/3 and n = -2/9
4. m/n
5. n/m2 -2

12. 6-5 Multiplying and Dividing
Decimals
When multiplying decimals, the number
of decimal places in the product is the
same as the sum of the decimal places in
the factors.

13. 6-5 Multiplying and Dividing
Decimals
Example 1
Solve y = (10.7)(0.13).
10.7 1 decimal place

14. 6-5 Multiplying and Dividing
Decimals
Example 1
Solve y = (10.7)(0.13).
10.7 1 decimal place
x0.13 2 decimal places

15. 6-5 Multiplying and Dividing
Decimals
Example 1
Solve y = (10.7)(0.13).
10.7 1 decimal place
x0.13 2 decimal places
321

16. 6-5 Multiplying and Dividing
Decimals
Example 1
Solve y = (10.7)(0.13).
10.7 1 decimal place
x0.13 2 decimal places
321
1070

17. 6-5 Multiplying and Dividing
Decimals
Example 1
Solve y = (10.7)(0.13).
10.7 1 decimal place
x0.13 2 decimal places
321
1070
1.391 3 decimal places

18. 6-5 Multiplying and Dividing
Decimals
Example 1
Solve y = (10.7)(0.13).
10.7 1 decimal place
x0.13 2 decimal places
321
1070
1.391 3 decimal places
y = 1.391

19. 6-5 Multiplying and Dividing
Decimals
To divide decimals, multiply both the
divisor and the dividend by a power of
ten so that the divisor is a whole
number. Then divide.

20. 6-5 Multiplying and Dividing
Decimals
Example 2
Solve y = 2.25 ÷ 2.5.

21. 6-5 Multiplying and Dividing
Decimals
Example 2
Solve y = 2.25 ÷ 2.5.
Estimate: 2 ÷ 2 = 1
2.5)2.25

22. 6-5 Multiplying and Dividing
Decimals
Example 2
Solve y = 2.25 ÷ 2.5.
Estimate: 2 ÷ 2 = 1
2.5)2.25 Multiply by 10 to get a whole number in
the divisor.

23. 6-5 Multiplying and Dividing
Decimals
Example 2
Solve y = 2.25 ÷ 2.5.
Estimate: 2 ÷ 2 = 1
2.5)2.25 Multiply by 10 to get a whole number in
the divisor.
0.9
25)22.5 Divide as with whole numbers.
225

24. 6-5 Multiplying and Dividing
Decimals
Example 2
Solve y = 2.25 ÷ 2.5.
Estimate: 2 ÷ 2 = 1
2.5)2.25 Multiply by 10 to get a whole number in
the divisor.
0.9
25)22.5 Divide as with whole numbers.
225
x = 0.9 Compare to the estimate.

25. 6-5 Multiplying and Dividing
Decimals
Assignment: 18 – 48 Even, 50 – 62 All.
Page: 298+