Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths | ten millionths | hundred millionths |
| 0 | . | 0 | 1 | 7 | 5 | |||||
| × | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 8 |
| . |
Ignore the decimal points and multiply as if these are whole numbers (as if each most right digit is the ones digit):
In this case we removed 12 decimal place(s). So once calculated, the result will be reduced by the factor of 1,000,000,000,000.
| Place value | thousands | hundreds | tens | ones |
| 1 | 7 | 5 | ||
| × | 8 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (8) of the multiplier 8 by each digit of the multiplicand 175, from right to left.
Multiply the ones digit (8) of the multiplicator by the number in the ones place value:
8×5=40
Write 0 in the ones place.
Because the result is greater than 9, carry the 4 to the tens place.
| Place value | thousands | hundreds | tens | ones |
| 4 | ||||
| 1 | 7 | 5 | ||
| × | 8 | |||
| 0 |
Multiply the ones digit (8) of the multiplicator by the number in the tens place value and add the carried number (4):
8×7+4=60
Write 0 in the tens place.
Because the result is greater than 9, carry the 6 to the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 6 | 4 | |||
| 1 | 7 | 5 | ||
| × | 8 | |||
| 0 | 0 |
3. Add the partial products
Multiply the ones digit (8) of the multiplicator by the number in the hundreds place value and add the carried number (6):
8×1+6=14
Write 4 in the hundreds place.
Because the result is greater than 9, carry the 1 to the thousands place.
| Place value | thousands | hundreds | tens | ones |
| 1 | 6 | 4 | ||
| 1 | 7 | 5 | ||
| × | 8 | |||
| 1 | 4 | 0 | 0 |
Because we have 12 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 12 time(s) to the left (reducing the result by the factor of 1,000,000,000,000) to get the final result:
The solution is: 0.0000000014
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