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 |
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (9) of the multiplier 6,109 by each digit of the multiplicand 9, from right to left.
Multiply the ones digit (9) of the multiplicator by the number in the ones place value:
9×9=81
Write 1 in the ones place.
Because the result is greater than 9, carry the 8 to the tens place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 8 | |||||
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
| 8 | 1 | ||||
81 is the first partial product.
Because the tens digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the hundreds digit (1) of the multiplier (6,109) by each digit of the multiplicand (9), from right to left.
Because digit (1) is in hundreds place, we shift partial result by 2 place(s) by placing 2 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
| 8 | 1 | ||||
| 0 | 0 | ||||
Multiply the hundreds digit (1) of the multiplicator by the number in the ones place value:
1×9=9
Write 9 in the hundreds place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
| 8 | 1 | ||||
| 9 | 0 | 0 | |||
900 is the second partial product.
Proceed by multiplying the thousands digit (6) of the multiplier (6,109) by each digit of the multiplicand (9), from right to left.
Because digit (6) is in thousands place, we shift partial result by 3 place(s) by placing 3 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
| 8 | 1 | ||||
| 9 | 0 | 0 | |||
| 0 | 0 | 0 |
Multiply the thousands digit (6) of the multiplicator by the number in the ones place value:
6×9=54
Write 4 in the thousands place.
Because the result is greater than 9, carry the 5 to the ten thousands place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 5 | |||||
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
| 8 | 1 | ||||
| 9 | 0 | 0 | |||
| 5 | 4 | 0 | 0 | 0 |
54,000 is the third partial product.
3. Add the partial products
81+900+54000=54981 long addition steps can be seen here
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 9 | |||||
| × | 6 | 1 | 0 | 9 | |
| 8 | 1 | ||||
| 9 | 0 | 0 | |||
| + | 5 | 4 | 0 | 0 | 0 |
| 5 | 4 | 9 | 8 | 1 |
The solution is: 54,981
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