Use multiplication:
28314173 x 98:
Line up our numbers vertically:
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | |
x | 9 | 8 |
Current result: 8 x 3 = 24
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
4 |
Show value = 4
Carry value = 2
Step 2:
Last step carry value was 2.
Our current result equals:
8 x 7 + Carry value of 2 = 58
2 | |||||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
8 | 4 |
Show value = 8
Carry value = 5
Step 3:
Last step carry value was 5.
Our current result equals:
8 x 1 + Carry value of 5 = 13
5 | 2 | ||||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
3 | 8 | 4 |
Show value = 3
Carry value = 1
Step 4:
Last step carry value was 1.
Our current result equals:
8 x 4 + Carry value of 1 = 33
1 | 5 | 2 | |||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
3 | 3 | 8 | 4 |
Show value = 3
Carry value = 3
Step 5:
Last step carry value was 3.
Our current result equals:
8 x 1 + Carry value of 3 = 11
3 | 1 | 5 | 2 | ||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
1 | 3 | 3 | 8 | 4 |
Show value = 1
Carry value = 1
Step 6:
Last step carry value was 1.
Our current result equals:
8 x 3 + Carry value of 1 = 25
1 | 3 | 1 | 5 | 2 | |||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
5 | 1 | 3 | 3 | 8 | 4 |
Show value = 5
Carry value = 2
Step 7:
Last step carry value was 2.
Our current result equals:
8 x 8 + Carry value of 2 = 66
2 | 1 | 3 | 1 | 5 | 2 | ||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
6 | 5 | 1 | 3 | 3 | 8 | 4 |
Show value = 6
Carry value = 6
Step 8:
Last step carry value was 6.
Our current result equals:
8 x 2 + Carry value of 6 = 22
6 | 2 | 1 | 3 | 1 | 5 | 2 | |||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 |
Show value = 22
New multiplication row:
Insert a 0 as our placeholder
Current result: 9 x 3 = 27
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
7 | 0 |
Show value = 7
Carry value = 2
Step 10:
Last step carry value was 2.
Our current result equals:
9 x 7 + Carry value of 2 = 65
2 | |||||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
5 | 7 | 0 |
Show value = 5
Carry value = 6
Step 11:
Last step carry value was 6.
Our current result equals:
9 x 1 + Carry value of 6 = 15
6 | 2 | ||||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
5 | 5 | 7 | 0 |
Show value = 5
Carry value = 1
Step 12:
Last step carry value was 1.
Our current result equals:
9 x 4 + Carry value of 1 = 37
1 | 6 | 2 | |||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
7 | 5 | 5 | 7 | 0 |
Show value = 7
Carry value = 3
Step 13:
Last step carry value was 3.
Our current result equals:
9 x 1 + Carry value of 3 = 12
3 | 1 | 6 | 2 | ||||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 7 | 5 | 5 | 7 | 0 |
Show value = 2
Carry value = 1
Step 14:
Last step carry value was 1.
Our current result equals:
9 x 3 + Carry value of 1 = 28
1 | 3 | 1 | 6 | 2 | |||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
8 | 2 | 7 | 5 | 5 | 7 | 0 |
Show value = 8
Carry value = 2
Step 15:
Last step carry value was 2.
Our current result equals:
9 x 8 + Carry value of 2 = 74
2 | 1 | 3 | 1 | 6 | 2 | ||||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 |
Show value = 4
Carry value = 7
Step 16:
Last step carry value was 7.
Our current result equals:
9 x 2 + Carry value of 7 = 25
7 | 2 | 1 | 3 | 1 | 6 | 2 | |||||
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 |
Show value = 25
Add up our results by column:
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
4 |
Adding up column 1, we get: 4 + 0
Our column sum becomes 4.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
5 | 4 |
Adding up column 2, we get: 8 + 7
Our column sum becomes 15.
Since our sum is greater than 9, we will carry a 1 over for the next column sum.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
9 | 5 | 4 |
Adding up column 3, we get: 3 + 5
Add carry value 1 to this column sum to get 9.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
8 | 9 | 5 | 4 |
Adding up column 4, we get: 3 + 5
Our column sum becomes 8.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
8 | 8 | 9 | 5 | 4 |
Adding up column 5, we get: 1 + 7
Our column sum becomes 8.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
7 | 8 | 8 | 9 | 5 | 4 |
Adding up column 6, we get: 5 + 2
Our column sum becomes 7.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
4 | 7 | 8 | 8 | 9 | 5 | 4 |
Adding up column 7, we get: 6 + 8
Our column sum becomes 14.
Since our sum is greater than 9, we will carry a 1 over for the next column sum.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
7 | 4 | 7 | 8 | 8 | 9 | 5 | 4 |
Adding up column 8, we get: 2 + 4
Add carry value 1 to this column sum to get 7.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
7 | 7 | 4 | 7 | 8 | 8 | 9 | 5 | 4 |
Adding up column 9, we get: 2 + 5
Our column sum becomes 7.
2 | 8 | 3 | 1 | 4 | 1 | 7 | 3 | ||||
x | 9 | 8 | |||||||||
2 | 2 | 6 | 5 | 1 | 3 | 3 | 8 | 4 | |||
2 | 5 | 4 | 8 | 2 | 7 | 5 | 5 | 7 | 0 | ||
2 | 7 | 7 | 4 | 7 | 8 | 8 | 9 | 5 | 4 |
Adding up column 10, we get: 2
Our column sum becomes 2.