College

Independent Practice

For questions 10-21, use patterns to multiply.

10. [tex]$37.5 \times 0.1 = 3.75$[/tex]

11. [tex]$75.9 \times 0.01 = 0.759$[/tex]

12. [tex]$31.9 \times 0.01$[/tex]

13. [tex]$86.3 \times 0.01$[/tex]

14. [tex]$40.1 \times 0.1$[/tex]

15. [tex]$12.7 \times 0.01$[/tex]

16. [tex]$23.8 \times 1$[/tex]

17. [tex]$65.9 \times 0.01$[/tex]

18. [tex]$19.7 \times 0.01$[/tex]

19. [tex]$10.1 \times 0.01$[/tex]

20. [tex]$99.5 \times 0.1$[/tex]

21. [tex]$73.5 \times 0.01$[/tex]

Answer :

Sure! Let's go through each of the multiplication problems step by step:

1. [tex]$859 \times 0.01$[/tex]:
- To multiply a number by 0.01, you can think of it as moving the decimal point two places to the left.
- So, [tex]$859 \times 0.01 = 8.59$[/tex].

2. [tex]$37.5 \times 0.1$[/tex]:
- Multiplying by 0.1 is like moving the decimal point one place to the left.
- Therefore, [tex]$37.5 \times 0.1 = 3.75$[/tex].

3. [tex]$75.9 \times 0.01$[/tex]:
- Multiplying by 0.01 involves moving the decimal point two places to the left.
- Hence, [tex]$75.9 \times 0.01 = 0.759$[/tex].

4. [tex]$86.3 \times 0.01$[/tex]:
- Move the decimal point two places to the left.
- This gives [tex]$86.3 \times 0.01 = 0.863$[/tex].

5. [tex]$40.1 \times 0.1$[/tex]:
- Here we move the decimal point one place to the left.
- So, [tex]$40.1 \times 0.1 = 4.01$[/tex].

6. [tex]$23.8 \times 1$[/tex]:
- Multiplying by 1 leaves the number unchanged.
- Thus, [tex]$23.8 \times 1 = 23.8$[/tex].

7. [tex]$65.9 \times 0.01$[/tex]:
- Again, we move the decimal point two places to the left.
- Resulting in [tex]$65.9 \times 0.01 = 0.659$[/tex].

8. [tex]$10.1 \times 0.01$[/tex]:
- Move the decimal point two places to the left.
- Giving [tex]$10.1 \times 0.01 = 0.101$[/tex].

9. [tex]$99.5 \times 0.1$[/tex]:
- Here, move the decimal point one place to the left.
- Thus, [tex]$99.5 \times 0.1 = 9.95$[/tex].

For the numbers without multiplication factors, the problem was not complete, so we skipped those calculations. If you have any other questions or need further explanation, feel free to ask!