Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
Place value | ten thousands | thousands | hundreds | tens | ones |
3 | 0 | 6 | 7 | 2 | |
× | 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 30,672, from right to left.
Multiply the ones digit (2) of the multiplicator by the number in the ones place value:
2×2=4
Write 4 in the ones place.
Place value | ten thousands | thousands | hundreds | tens | ones |
3 | 0 | 6 | 7 | 2 | |
× | 2 | ||||
4 |
Multiply the ones digit (2) of the multiplicator by the number in the tens place value:
2×7=14
Write 4 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
Place value | ten thousands | thousands | hundreds | tens | ones |
1 | |||||
3 | 0 | 6 | 7 | 2 | |
× | 2 | ||||
4 | 4 |
Multiply the ones digit (2) of the multiplicator by the number in the hundreds place value and add the carried number (1):
2×6+1=13
Write 3 in the hundreds place.
Because the result is greater than 9, carry the 1 to the thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
1 | 1 | ||||
3 | 0 | 6 | 7 | 2 | |
× | 2 | ||||
3 | 4 | 4 |
Multiply the ones digit (2) of the multiplicator by the number in the thousands place value and add the carried number (1):
2×0+1=1
Write 1 in the thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
1 | 1 | ||||
3 | 0 | 6 | 7 | 2 | |
× | 2 | ||||
1 | 3 | 4 | 4 |
Multiply the ones digit (2) of the multiplicator by the number in the ten thousands place value:
2×3=6
Write 6 in the ten thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
1 | 1 | ||||
3 | 0 | 6 | 7 | 2 | |
× | 2 | ||||
6 | 1 | 3 | 4 | 4 |
The solution is: 61,344
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