Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | ten thousands | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths | ten millionths | hundred millionths | billionths | ten billionths |
| 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | |||||
| × | 1 | 0 | 5 | 6 | 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 10 decimal place(s). So once calculated, the result will be reduced by the factor of 10,000,000,000.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (6) of the multiplier 10,566 by each digit of the multiplicand 1, from right to left.
Multiply the ones digit (6) of the multiplicator by the number in the ones place value:
6×1=6
Write 6 in the ones place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
6 is the first partial product.
Proceed by multiplying the tens digit (6) of the multiplier (10,566) by each digit of the multiplicand (1), from right to left.
Because digit (6) is in tens place, we shift partial result by 1 place(s) by placing 1 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 0 | |||||
Multiply the tens digit (6) of the multiplicator by the number in the ones place value:
6×1=6
Write 6 in the tens place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 6 | 0 | ||||
60 is the second partial product.
Proceed by multiplying the hundreds digit (5) of the multiplier (10,566) by each digit of the multiplicand (1), from right to left.
Because digit (5) is in hundreds place, we shift partial result by 2 place(s) by placing 2 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 6 | 0 | ||||
| 0 | 0 | ||||
Multiply the hundreds digit (5) of the multiplicator by the number in the ones place value:
5×1=5
Write 5 in the hundreds place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 6 | 0 | ||||
| 5 | 0 | 0 | |||
500 is the third partial product.
Because the thousands digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the ten thousands digit (1) of the multiplier (10,566) by each digit of the multiplicand (1), from right to left.
Because digit (1) is in ten thousands place, we shift partial result by 4 place(s) by placing 4 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 6 | 0 | ||||
| 5 | 0 | 0 | |||
| 0 | 0 | 0 | 0 |
Multiply the ten thousands digit (1) of the multiplicator by the number in the ones place value:
1×1=1
Write 1 in the ten thousands place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 6 | 0 | ||||
| 5 | 0 | 0 | |||
| 1 | 0 | 0 | 0 | 0 |
10,000 is the fourth partial product.
3. Add the partial products
6+60+500+10000=10566 long addition steps can be seen here
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||
| × | 1 | 0 | 5 | 6 | 6 |
| 6 | |||||
| 6 | 0 | ||||
| 5 | 0 | 0 | |||
| + | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 5 | 6 | 6 |
Because we have 10 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 10 time(s) to the left (reducing the result by the factor of 10,000,000,000) to get the final result:
The solution is: 0.0000010566
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