Use multiplication:
471 x 35:
Line up our numbers vertically:
4 | 7 | 1 | |
x | 3 | 5 |
Current result: 5 x 1 = 5
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
5 |
Show value = 5
Current result: 5 x 7 = 35
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
5 | 5 |
Show value = 5
Carry value = 3
Step 3:
Last step carry value was 3.
Our current result equals:
5 x 4 + Carry value of 3 = 23
3 | ||||||
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 |
Show value = 23
New multiplication row:
Insert a 0 as our placeholder
Current result: 3 x 1 = 3
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
3 | 0 |
Show value = 3
Current result: 3 x 7 = 21
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 3 | 0 |
Show value = 1
Carry value = 2
Step 6:
Last step carry value was 2.
Our current result equals:
3 x 4 + Carry value of 2 = 14
2 | ||||||
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 4 | 1 | 3 | 0 |
Show value = 14
Add up our results by column:
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 4 | 1 | 3 | 0 | ||
5 |
Adding up column 1, we get: 5 + 0
Our column sum becomes 5.
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 4 | 1 | 3 | 0 | ||
8 | 5 |
Adding up column 2, we get: 5 + 3
Our column sum becomes 8.
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 4 | 1 | 3 | 0 | ||
4 | 8 | 5 |
Adding up column 3, we get: 3 + 1
Our column sum becomes 4.
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 4 | 1 | 3 | 0 | ||
6 | 4 | 8 | 5 |
Adding up column 4, we get: 2 + 4
Our column sum becomes 6.
4 | 7 | 1 | ||||
x | 3 | 5 | ||||
2 | 3 | 5 | 5 | |||
1 | 4 | 1 | 3 | 0 | ||
1 | 6 | 4 | 8 | 5 |
Adding up column 5, we get: 1
Our column sum becomes 1.