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 |
| 8 | 5 | 2 | ||
| × | 9 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (9) of the multiplier 9 by each digit of the multiplicand 852, from right to left.
Multiply the ones digit (9) of the multiplicator by the number in the ones place value:
9×2=18
Write 8 in the ones place.
Because the result is greater than 9, carry the 1 to the tens place.
| Place value | thousands | hundreds | tens | ones |
| 1 | ||||
| 8 | 5 | 2 | ||
| × | 9 | |||
| 8 |
Multiply the ones digit (9) of the multiplicator by the number in the tens place value and add the carried number (1):
9×5+1=46
Write 6 in the tens place.
Because the result is greater than 9, carry the 4 to the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 4 | 1 | |||
| 8 | 5 | 2 | ||
| × | 9 | |||
| 6 | 8 |
Multiply the ones digit (9) of the multiplicator by the number in the hundreds place value and add the carried number (4):
9×8+4=76
Write 6 in the hundreds place.
Because the result is greater than 9, carry the 7 to the thousands place.
| Place value | thousands | hundreds | tens | ones |
| 7 | 4 | 1 | ||
| 8 | 5 | 2 | ||
| × | 9 | |||
| 7 | 6 | 6 | 8 |
The solution is: 7,668
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