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 |
4 | 6 | 2 | 8 | ||
× | 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 4,628, from right to left.
Multiply the ones digit (7) of the multiplicator by the number in the ones place value:
7×8=56
Write 6 in the ones place.
Because the result is greater than 9, carry the 5 to the tens place.
Place value | ten thousands | thousands | hundreds | tens | ones |
5 | |||||
4 | 6 | 2 | 8 | ||
× | 7 | ||||
6 |
Multiply the ones digit (7) of the multiplicator by the number in the tens place value and add the carried number (5):
7×2+5=19
Write 9 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 | 5 | ||||
4 | 6 | 2 | 8 | ||
× | 7 | ||||
9 | 6 |
Multiply the ones digit (7) of the multiplicator by the number in the hundreds place value and add the carried number (1):
7×6+1=43
Write 3 in the hundreds place.
Because the result is greater than 9, carry the 4 to the thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
4 | 1 | 5 | |||
4 | 6 | 2 | 8 | ||
× | 7 | ||||
3 | 9 | 6 |
Multiply the ones digit (7) of the multiplicator by the number in the thousands place value and add the carried number (4):
7×4+4=32
Write 2 in the thousands place.
Because the result is greater than 9, carry the 3 to the ten thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
3 | 4 | 1 | 5 | ||
4 | 6 | 2 | 8 | ||
× | 7 | ||||
3 | 2 | 3 | 9 | 6 |
The solution is: 32,396
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