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 |
| 5 | 6 | 9 | 8 | 4 | ||
| × | 7 | |||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (7) of the multiplier 7 by each digit of the multiplicand 56,984, from right to left.
Multiply the ones digit (7) of the multiplicator by the number in the ones place value:
7×4=28
Write 8 in the ones place.
Because the result is greater than 9, carry the 2 to the tens place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | ||||||
| 5 | 6 | 9 | 8 | 4 | ||
| × | 7 | |||||
| 8 |
Multiply the ones digit (7) of the multiplicator by the number in the tens place value and add the carried number (2):
7×8+2=58
Write 8 in the tens place.
Because the result is greater than 9, carry the 5 to the hundreds place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 2 | |||||
| 5 | 6 | 9 | 8 | 4 | ||
| × | 7 | |||||
| 8 | 8 |
Multiply the ones digit (7) of the multiplicator by the number in the hundreds place value and add the carried number (5):
7×9+5=68
Write 8 in the hundreds place.
Because the result is greater than 9, carry the 6 to the thousands place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 6 | 5 | 2 | ||||
| 5 | 6 | 9 | 8 | 4 | ||
| × | 7 | |||||
| 8 | 8 | 8 |
Multiply the ones digit (7) of the multiplicator by the number in the thousands place value and add the carried number (6):
7×6+6=48
Write 8 in the thousands place.
Because the result is greater than 9, carry the 4 to the ten thousands place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 4 | 6 | 5 | 2 | |||
| 5 | 6 | 9 | 8 | 4 | ||
| × | 7 | |||||
| 8 | 8 | 8 | 8 |
Multiply the ones digit (7) of the multiplicator by the number in the ten thousands place value and add the carried number (4):
7×5+4=39
Write 9 in the ten thousands place.
Because the result is greater than 9, carry the 3 to the hundred thousands place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 4 | 6 | 5 | 2 | ||
| 5 | 6 | 9 | 8 | 4 | ||
| × | 7 | |||||
| 3 | 9 | 8 | 8 | 8 | 8 |
The solution is: 398,888
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