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 | 6 | 4 | 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 3,649, 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 | ten thousands | thousands | hundreds | tens | ones |
5 | |||||
3 | 6 | 4 | 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):
6×4+5=29
Write 9 in the tens place.
Because the result is greater than 9, carry the 2 to the hundreds place.
Place value | ten thousands | thousands | hundreds | tens | ones |
2 | 5 | ||||
3 | 6 | 4 | 9 | ||
× | 6 | ||||
9 | 4 |
Multiply the ones digit (6) of the multiplicator by the number in the hundreds place value and add the carried number (2):
6×6+2=38
Write 8 in the hundreds place.
Because the result is greater than 9, carry the 3 to the thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
3 | 2 | 5 | |||
3 | 6 | 4 | 9 | ||
× | 6 | ||||
8 | 9 | 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 | ten thousands | thousands | hundreds | tens | ones |
2 | 3 | 2 | 5 | ||
3 | 6 | 4 | 9 | ||
× | 6 | ||||
2 | 1 | 8 | 9 | 4 |
The solution is: 21,894
How did we do?
Please leave us feedback.