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 |
| 1 | 0 | 1 | 4 | |
| × | 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 1,014, from right to left.
Multiply the ones digit (9) of the multiplicator by the number in the ones place value:
9×4=36
Write 6 in the ones place.
Because the result is greater than 9, carry the 3 to the tens place.
| Place value | thousands | hundreds | tens | ones |
| 3 | ||||
| 1 | 0 | 1 | 4 | |
| × | 9 | |||
| 6 |
Multiply the ones digit (9) of the multiplicator by the number in the tens place value and add the carried number (3):
9×1+3=12
Write 2 in the tens place.
Because the result is greater than 9, carry the 1 to the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 3 | |||
| 1 | 0 | 1 | 4 | |
| × | 9 | |||
| 2 | 6 |
Multiply the ones digit (9) of the multiplicator by the number in the hundreds place value and add the carried number (1):
9×0+1=1
Write 1 in the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 3 | |||
| 1 | 0 | 1 | 4 | |
| × | 9 | |||
| 1 | 2 | 6 |
Multiply the ones digit (9) of the multiplicator by the number in the thousands place value:
9×1=9
Write 9 in the thousands place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 3 | |||
| 1 | 0 | 1 | 4 | |
| × | 9 | |||
| 9 | 1 | 2 | 6 |
The solution is: 9,126
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