Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | thousands | hundreds | tens | ones |
| 1 | 2 | 5 | 6 | |
| × | 3 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (3) of the multiplier 3 by each digit of the multiplicand 1,256, from right to left.
Multiply the ones digit (3) of the multiplicator by the number in the ones place value:
3×6=18
Write 8 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 | ||||
| 1 | 2 | 5 | 6 | |
| × | 3 | |||
| 8 |
Multiply the ones digit (3) of the multiplicator by the number in the tens place value and add the carried number (1):
3×5+1=16
Write 6 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 1 | |||
| 1 | 2 | 5 | 6 | |
| × | 3 | |||
| 6 | 8 |
Multiply the ones digit (3) of the multiplicator by the number in the hundreds place value and add the carried number (1):
3×2+1=7
Write 7 in the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 1 | |||
| 1 | 2 | 5 | 6 | |
| × | 3 | |||
| 7 | 6 | 8 |
Multiply the ones digit (3) of the multiplicator by the number in the thousands place value:
3×1=3
Write 3 in the thousands place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 1 | |||
| 1 | 2 | 5 | 6 | |
| × | 3 | |||
| 3 | 7 | 6 | 8 |
The solution is: 3,768
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