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 | 2 | 0 | 8 | ||
× | 9 | ||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (9) of the multiplier 9 by each digit of the multiplicand 4,208, from right to left.
Multiply the ones digit (9) of the multiplicator by the number in the ones place value:
9×8=72
Write 2 in the ones place.
Because the result is greater than 9, carry the 7 to the tens place.
Place value | ten thousands | thousands | hundreds | tens | ones |
7 | |||||
4 | 2 | 0 | 8 | ||
× | 9 | ||||
2 |
Multiply the ones digit (9) of the multiplicator by the number in the tens place value and add the carried number (7):
9×0+7=7
Write 7 in the tens place.
Place value | ten thousands | thousands | hundreds | tens | ones |
7 | |||||
4 | 2 | 0 | 8 | ||
× | 9 | ||||
7 | 2 |
Multiply the ones digit (9) of the multiplicator by the number in the hundreds place value:
9×2=18
Write 8 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 | 7 | ||||
4 | 2 | 0 | 8 | ||
× | 9 | ||||
8 | 7 | 2 |
Multiply the ones digit (9) of the multiplicator by the number in the thousands place value and add the carried number (1):
9×4+1=37
Write 7 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 | 1 | 7 | |||
4 | 2 | 0 | 8 | ||
× | 9 | ||||
3 | 7 | 8 | 7 | 2 |
The solution is: 37,872
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