Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
2. Multiply the numbers using long multiplication method
Because the ten thousands digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the hundred thousands digit (4) of the multiplier (7,400,000) by each digit of the multiplicand (32), from right to left.
Because digit (4) is in hundred thousands place, we shift partial result by 5 place(s) by placing 5 zero(s).
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 0 | 0 | 0 | 0 | 0 | |||||
Multiply the hundred thousands digit (4) of the multiplicator by the number in the ones place value:
4×2=8
Write 8 in the hundred thousands place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 8 | 0 | 0 | 0 | 0 | 0 | ||||
Multiply the hundred thousands digit (4) of the multiplicator by the number in the tens place value:
4×3=12
Write 2 in the millions place.
Because the result is greater than 9, carry the 1 to the ten millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||||||
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 1 | 2 | 8 | 0 | 0 | 0 | 0 | 0 | ||
12,800,000 is the first partial product.
Proceed by multiplying the millions digit (7) of the multiplier (7,400,000) by each digit of the multiplicand (32), from right to left.
Because digit (7) is in millions place, we shift partial result by 6 place(s) by placing 6 zero(s).
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 1 | 2 | 8 | 0 | 0 | 0 | 0 | 0 | ||
| 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (7) of the multiplicator by the number in the ones place value:
7×2=14
Write 4 in the millions place.
Because the result is greater than 9, carry the 1 to the ten millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||||||
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 1 | 2 | 8 | 0 | 0 | 0 | 0 | 0 | ||
| 4 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (7) of the multiplicator by the number in the tens place value and add the carried number (1):
7×3+1=22
Write 2 in the ten millions place.
Because the result is greater than 9, carry the 2 to the hundred millions place.
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 1 | ||||||||
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 1 | 2 | 8 | 0 | 0 | 0 | 0 | 0 | ||
| 2 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 0 |
224,000,000 is the second partial product.
3. Add the partial products
12800000+224000000=236800000 long addition steps can be seen here
| Place value | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 2 | ||||||||
| × | 7 | 4 | 0 | 0 | 0 | 0 | 0 | ||
| 1 | 2 | 8 | 0 | 0 | 0 | 0 | 0 | ||
| + | 2 | 2 | 4 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 3 | 6 | 8 | 0 | 0 | 0 | 0 | 0 |
The solution is: 236,800,000
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