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 | 6 | 5 | 0 | 0 | ||
× | 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 46,500, from right to left.
Multiply the ones digit (3) of the multiplicator by the number in the ones place value:
3×0=0
Write 0 in the ones place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
4 | 6 | 5 | 0 | 0 | ||
× | 3 | |||||
0 |
Multiply the ones digit (3) of the multiplicator by the number in the tens place value:
3×0=0
Write 0 in the tens place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
4 | 6 | 5 | 0 | 0 | ||
× | 3 | |||||
0 | 0 |
Multiply the ones digit (3) of the multiplicator by the number in the hundreds place value:
3×5=15
Write 5 in the hundreds place.
Because the result is greater than 9, carry the 1 to the thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | ||||||
4 | 6 | 5 | 0 | 0 | ||
× | 3 | |||||
5 | 0 | 0 |
Multiply the ones digit (3) of the multiplicator by the number in the thousands place value and add the carried number (1):
3×6+1=19
Write 9 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 | 1 | |||||
4 | 6 | 5 | 0 | 0 | ||
× | 3 | |||||
9 | 5 | 0 | 0 |
Multiply the ones digit (3) of the multiplicator by the number in the ten thousands place value and add the carried number (1):
3×4+1=13
Write 3 in the ten thousands place.
Because the result is greater than 9, carry the 1 to the hundred thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | 1 | 1 | ||||
4 | 6 | 5 | 0 | 0 | ||
× | 3 | |||||
1 | 3 | 9 | 5 | 0 | 0 |
The solution is: 139,500
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