Solution - Long multiplication
5,684
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | thousands | hundreds | tens | ones |
| 8 | 1 | 2 | ||
| × | 7 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (7) of the multiplier 7 by each digit of the multiplicand 812, from right to left.
Multiply the ones digit (7) of the multiplicator by the number in the ones place value:
7×2=14
Write 4 in the ones place.
Because the result is greater than 9, carry the 1 to the tens place.
| Place value | thousands | hundreds | tens | ones |
| 1 | ||||
| 8 | 1 | 2 | ||
| × | 7 | |||
| 4 |
Multiply the ones digit (7) of the multiplicator by the number in the tens place value and add the carried number (1):
7×1+1=8
Write 8 in the tens place.
| Place value | thousands | hundreds | tens | ones |
| 1 | ||||
| 8 | 1 | 2 | ||
| × | 7 | |||
| 8 | 4 |
Multiply the ones digit (7) of the multiplicator by the number in the hundreds place value:
7×8=56
Write 6 in the hundreds place.
Because the result is greater than 9, carry the 5 to the thousands place.
| Place value | thousands | hundreds | tens | ones |
| 5 | 1 | |||
| 8 | 1 | 2 | ||
| × | 7 | |||
| 5 | 6 | 8 | 4 |
The solution is: 5,684
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