Question

45.67 × 32.58 but show your work

Answer 1

Solution: 

1. Set up the long multiplication.

2. Calculate 7 x 8, which is 56.
Since 56 is two-digit, we carry the first digit 5 to the next column.

3. Calculate 6 x 8, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.

4. Calculate 5 x 8, which is 40. Now add the carry digit of 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column. 

5. Calculate 4 x 8, which is 32. Now add the carry digit of 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column. 

6. Bring down the carry digit of 3.

7. Calculate 7 x 5, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.

8. Calculate 6 x 5, which is 30. Now add the carry digit of 3, which is 33.
Since 33 is two-digit, we carry the first digit 3 to the next column.

9. Calculate 5 x 5, which is 25. Now add the carry digit of 3, which is 28.
Since 28 is two-digit, we carry the first digit 2 to the next column.

10. Calculate 4 x 5, which is 20. Now add the carry digit of 2, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.

11. Bring down the carry digit of 2.

12. Calculate 7 x 2, which is 14.
Since 14 is two-digit, we carry the first digit 1 to the next column.

13. Calculate 6 x 2, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.

14. Calculate 5 x 2, which is 10. Now add the carry digit of 1, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column. 

15. Calculate 4 x 2, which is 8. Now add the carry digit of 1, which is 9.

16. Calculate 7 x 3, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.

17. Calculate 6 x 3, which is 18. Now add the carry digit of 2, which is 20.
Since 20 is two-digit, we carry the first digit 2 to the next column.

18. Calculate 5 x 3, which is 15. Now add the carry digit of 2, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column. 

19. Calculate 4 x 3, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.

20. Bring down the carry digit of 1.

21. Calculate 36536 + 228350 + 913400 + 13701000, which is 14879286

22. Place the decimal.
45.67 has 2 decimal places, and 32.58 has 2 decimal places.
Therefore, the answer should have 2 + 2 = 4 decimal places.

23. Therefore, 45.67 x 32.58 = 1487.9286.
1487.92861487.9286

Done!