Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
Place value | hundreds | tens | ones |
3 | 7 | 8 | |
× | 2 | ||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (2) of the multiplier 2 by each digit of the multiplicand 378, from right to left.
Multiply the ones digit (2) of the multiplicator by the number in the ones place value:
2×8=16
Write 6 in the ones place.
Because the result is greater than 9, carry the 1 to the tens place.
Place value | hundreds | tens | ones |
1 | |||
3 | 7 | 8 | |
× | 2 | ||
6 |
Multiply the ones digit (2) of the multiplicator by the number in the tens place value and add the carried number (1):
2×7+1=15
Write 5 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
Place value | hundreds | tens | ones |
1 | 1 | ||
3 | 7 | 8 | |
× | 2 | ||
5 | 6 |
Multiply the ones digit (2) of the multiplicator by the number in the hundreds place value and add the carried number (1):
2×3+1=7
Write 7 in the hundreds place.
Place value | hundreds | tens | ones |
1 | 1 | ||
3 | 7 | 8 | |
× | 2 | ||
7 | 5 | 6 |
The solution is: 756
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