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 |
3 | 8 | 4 | 4 | 0 | 0 | |
× | 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 384,400, from right to left.
Multiply the ones digit (2) of the multiplicator by the number in the ones place value:
2×0=0
Write 0 in the ones place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 8 | 4 | 4 | 0 | 0 | |
× | 2 | |||||
0 |
Multiply the ones digit (2) of the multiplicator by the number in the tens place value:
2×0=0
Write 0 in the tens place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 8 | 4 | 4 | 0 | 0 | |
× | 2 | |||||
0 | 0 |
Multiply the ones digit (2) of the multiplicator by the number in the hundreds place value:
2×4=8
Write 8 in the hundreds place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 8 | 4 | 4 | 0 | 0 | |
× | 2 | |||||
8 | 0 | 0 |
Multiply the ones digit (2) of the multiplicator by the number in the thousands place value:
2×4=8
Write 8 in the thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 8 | 4 | 4 | 0 | 0 | |
× | 2 | |||||
8 | 8 | 0 | 0 |
Multiply the ones digit (2) of the multiplicator by the number in the ten thousands place value:
2×8=16
Write 6 in the ten thousands place.
Because the result is greater than 9, carry the 1 to the hundred thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | ||||||
3 | 8 | 4 | 4 | 0 | 0 | |
× | 2 | |||||
6 | 8 | 8 | 0 | 0 |
Multiply the ones digit (2) of the multiplicator by the number in the hundred thousands place value and add the carried number (1):
2×3+1=7
Write 7 in the hundred thousands place.
Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | ||||||
3 | 8 | 4 | 4 | 0 | 0 | |
× | 2 | |||||
7 | 6 | 8 | 8 | 0 | 0 |
The solution is: 768,800
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