Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
Place value | thousands | hundreds | tens | ones |
2 | 0 | 4 | 8 | |
× | 3 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (3) of the multiplier 3 by each digit of the multiplicand 2,048, from right to left.
Multiply the ones digit (3) of the multiplicator by the number in the ones place value:
3×8=24
Write 4 in the ones place.
Because the result is greater than 9, carry the 2 to the tens place.
Place value | thousands | hundreds | tens | ones |
2 | ||||
2 | 0 | 4 | 8 | |
× | 3 | |||
4 |
Multiply the ones digit (3) of the multiplicator by the number in the tens place value and add the carried number (2):
3×4+2=14
Write 4 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
Place value | thousands | hundreds | tens | ones |
1 | 2 | |||
2 | 0 | 4 | 8 | |
× | 3 | |||
4 | 4 |
Multiply the ones digit (3) of the multiplicator by the number in the hundreds place value and add the carried number (1):
3×0+1=1
Write 1 in the hundreds place.
Place value | thousands | hundreds | tens | ones |
1 | 2 | |||
2 | 0 | 4 | 8 | |
× | 3 | |||
1 | 4 | 4 |
Multiply the ones digit (3) of the multiplicator by the number in the thousands place value:
3×2=6
Write 6 in the thousands place.
Place value | thousands | hundreds | tens | ones |
1 | 2 | |||
2 | 0 | 4 | 8 | |
× | 3 | |||
6 | 1 | 4 | 4 |
The solution is: 6,144
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