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 |
| 7 | 6 | 4 | 5 | ||
| × | 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 7,645, from right to left.
Multiply the ones digit (4) of the multiplicator by the number in the ones place value:
4×5=20
Write 0 in the ones place.
Because the result is greater than 9, carry the 2 to the tens place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 2 | |||||
| 7 | 6 | 4 | 5 | ||
| × | 4 | ||||
| 0 |
Multiply the ones digit (4) of the multiplicator by the number in the tens place value and add the carried number (2):
4×4+2=18
Write 8 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 2 | ||||
| 7 | 6 | 4 | 5 | ||
| × | 4 | ||||
| 8 | 0 |
Multiply the ones digit (4) of the multiplicator by the number in the hundreds place value and add the carried number (1):
4×6+1=25
Write 5 in the hundreds place.
Because the result is greater than 9, carry the 2 to the thousands place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 2 | 1 | 2 | |||
| 7 | 6 | 4 | 5 | ||
| × | 4 | ||||
| 5 | 8 | 0 |
Multiply the ones digit (4) of the multiplicator by the number in the thousands place value and add the carried number (2):
4×7+2=30
Write 0 in the thousands place.
Because the result is greater than 9, carry the 3 to the ten thousands place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 3 | 2 | 1 | 2 | ||
| 7 | 6 | 4 | 5 | ||
| × | 4 | ||||
| 3 | 0 | 5 | 8 | 0 |
The solution is: 30,580
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