Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
5 | 4 | 6 | 1 | 3 | ||
× | 4 | |||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (4) of the multiplier 4 by each digit of the multiplicand 54,613, from right to left.
Multiply the ones digit (4) of the multiplicator by the number in the ones place value:
4×3=12
Write 2 in the ones place.
Because the result is greater than 9, carry the 1 to the tens place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | ||||||
5 | 4 | 6 | 1 | 3 | ||
× | 4 | |||||
2 |
Multiply the ones digit (4) of the multiplicator by the number in the tens place value and add the carried number (1):
4×1+1=5
Write 5 in the tens place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | ||||||
5 | 4 | 6 | 1 | 3 | ||
× | 4 | |||||
5 | 2 |
Multiply the ones digit (4) of the multiplicator by the number in the hundreds place value:
4×6=24
Write 4 in the hundreds place.
Because the result is greater than 9, carry the 2 to the thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | |||||
5 | 4 | 6 | 1 | 3 | ||
× | 4 | |||||
4 | 5 | 2 |
Multiply the ones digit (4) of the multiplicator by the number in the thousands place value and add the carried number (2):
4×4+2=18
Write 8 in the thousands place.
Because the result is greater than 9, carry the 1 to the ten thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | 2 | 1 | ||||
5 | 4 | 6 | 1 | 3 | ||
× | 4 | |||||
8 | 4 | 5 | 2 |
Multiply the ones digit (4) of the multiplicator by the number in the ten thousands place value and add the carried number (1):
4×5+1=21
Write 1 in the ten thousands place.
Because the result is greater than 9, carry the 2 to the hundred thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 2 | 1 | |||
5 | 4 | 6 | 1 | 3 | ||
× | 4 | |||||
2 | 1 | 8 | 4 | 5 | 2 |
The solution is: 218,452
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