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 |
| 0 | . | 0 | 0 | 0 | 0 | 7 | 9 | 4 | |
| × | 0 | . | 6 | ||||||
| . |
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 8 decimal place(s). So once calculated, the result will be reduced by the factor of 100,000,000.
| Place value | thousands | hundreds | tens | ones |
| 7 | 9 | 4 | ||
| × | 6 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (6) of the multiplier 6 by each digit of the multiplicand 794, from right to left.
Multiply the ones digit (6) of the multiplicator by the number in the ones place value:
6×4=24
Write 4 in the ones place.
Because the result is greater than 9, carry the 2 to the tens place.
| Place value | thousands | hundreds | tens | ones |
| 2 | ||||
| 7 | 9 | 4 | ||
| × | 6 | |||
| 4 |
Multiply the ones digit (6) of the multiplicator by the number in the tens place value and add the carried number (2):
6×9+2=56
Write 6 in the tens place.
Because the result is greater than 9, carry the 5 to the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 5 | 2 | |||
| 7 | 9 | 4 | ||
| × | 6 | |||
| 6 | 4 |
3. Add the partial products
Multiply the ones digit (6) of the multiplicator by the number in the hundreds place value and add the carried number (5):
6×7+5=47
Write 7 in the hundreds place.
Because the result is greater than 9, carry the 4 to the thousands place.
| Place value | thousands | hundreds | tens | ones |
| 4 | 5 | 2 | ||
| 7 | 9 | 4 | ||
| × | 6 | |||
| 4 | 7 | 6 | 4 |
Because we have 8 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 8 time(s) to the left (reducing the result by the factor of 100,000,000) to get the final result:
The solution is: 0.00004764
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