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 |
4 | 3 | 6 | 1 | 9 | ||
× | 6 | |||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (6) of the multiplier 6 by each digit of the multiplicand 43,619, from right to left.
Multiply the ones digit (6) of the multiplicator by the number in the ones place value:
6×9=54
Write 4 in the ones place.
Because the result is greater than 9, carry the 5 to the tens place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
5 | ||||||
4 | 3 | 6 | 1 | 9 | ||
× | 6 | |||||
4 |
Multiply the ones digit (6) of the multiplicator by the number in the tens place value and add the carried number (5):
6×1+5=11
Write 1 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | 5 | |||||
4 | 3 | 6 | 1 | 9 | ||
× | 6 | |||||
1 | 4 |
Multiply the ones digit (6) of the multiplicator by the number in the hundreds place value and add the carried number (1):
6×6+1=37
Write 7 in the hundreds place.
Because the result is greater than 9, carry the 3 to the thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 1 | 5 | ||||
4 | 3 | 6 | 1 | 9 | ||
× | 6 | |||||
7 | 1 | 4 |
Multiply the ones digit (6) of the multiplicator by the number in the thousands place value and add the carried number (3):
6×3+3=21
Write 1 in the thousands place.
Because the result is greater than 9, carry the 2 to the ten thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 3 | 1 | 5 | |||
4 | 3 | 6 | 1 | 9 | ||
× | 6 | |||||
1 | 7 | 1 | 4 |
Multiply the ones digit (6) of the multiplicator by the number in the ten thousands place value and add the carried number (2):
6×4+2=26
Write 6 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 | 2 | 3 | 1 | 5 | ||
4 | 3 | 6 | 1 | 9 | ||
× | 6 | |||||
2 | 6 | 1 | 7 | 1 | 4 |
The solution is: 261,714
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