Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths | ten millionths |
| 4 | 2 | 0 | 0 | |||||||||
| × | 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | 2 | |||
| . |
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 7 decimal place(s). So once calculated, the result will be reduced by the factor of 10,000,000.
| Place value | thousands | hundreds | tens | ones |
| 4 | 2 | 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 4,200, 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 | thousands | hundreds | tens | ones |
| 4 | 2 | 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 | thousands | hundreds | tens | ones |
| 4 | 2 | 0 | 0 | |
| × | 2 | |||
| 0 | 0 |
Multiply the ones digit (2) of the multiplicator by the number in the hundreds place value:
2×2=4
Write 4 in the hundreds place.
| Place value | thousands | hundreds | tens | ones |
| 4 | 2 | 0 | 0 | |
| × | 2 | |||
| 4 | 0 | 0 |
3. Add the partial products
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 | thousands | hundreds | tens | ones |
| 4 | 2 | 0 | 0 | |
| × | 2 | |||
| 8 | 4 | 0 | 0 |
Because we have 7 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 7 time(s) to the left (reducing the result by the factor of 10,000,000) to get the final result:
The solution is: 0.00084
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