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 | 8 | 7 | 4 | ||
× | 2 | ||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (2) of the multiplier 2 by each digit of the multiplicand 9,874, from right to left.
Multiply the ones digit (2) of the multiplicator by the number in the ones place value:
2×4=8
Write 8 in the ones place.
Place value | ten thousands | thousands | hundreds | tens | ones |
9 | 8 | 7 | 4 | ||
× | 2 | ||||
8 |
Multiply the ones digit (2) of the multiplicator by the number in the tens place value:
2×7=14
Write 4 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 | |||||
9 | 8 | 7 | 4 | ||
× | 2 | ||||
4 | 8 |
Multiply the ones digit (2) of the multiplicator by the number in the hundreds place value and add the carried number (1):
2×8+1=17
Write 7 in the hundreds place.
Because the result is greater than 9, carry the 1 to the thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
1 | 1 | ||||
9 | 8 | 7 | 4 | ||
× | 2 | ||||
7 | 4 | 8 |
Multiply the ones digit (2) of the multiplicator by the number in the thousands place value and add the carried number (1):
2×9+1=19
Write 9 in the thousands place.
Because the result is greater than 9, carry the 1 to the ten thousands place.
Place value | ten thousands | thousands | hundreds | tens | ones |
1 | 1 | 1 | |||
9 | 8 | 7 | 4 | ||
× | 2 | ||||
1 | 9 | 7 | 4 | 8 |
The solution is: 19,748
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