Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths | hundred thousandths | millionths | ten millionths | hundred millionths | billionths | ten billionths | TABLE_COL_DECIMAL_DIGIT_PLACE11 | TABLE_COL_DECIMAL_DIGIT_PLACE12 |
| 0 | . | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | |||
| × | 4 | 0 | 0 | |||||||||||||
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 |
| 3 | ||||
| × | 4 | 0 | 0 | |
2. Multiply the numbers using long multiplication method
Because the tens digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the hundreds digit (4) of the multiplier (400) by each digit of the multiplicand (3), from right to left.
Because digit (4) is in hundreds place, we shift partial result by 2 place(s) by placing 2 zero(s).
| Place value | thousands | hundreds | tens | ones |
| 3 | ||||
| × | 4 | 0 | 0 | |
| 0 | 0 |
Multiply the hundreds digit (4) of the multiplicator by the number in the ones place value:
4×3=12
Write 2 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 | ||||
| 3 | ||||
| × | 4 | 0 | 0 | |
| 1 | 2 | 0 | 0 |
1,200 is the first partial product.
3. Add the partial products
1200=1200 long addition steps can be seen here
| Place value | thousands | hundreds | tens | ones |
| 3 | ||||
| × | 4 | 0 | 0 | |
| + | 1 | 2 | 0 | 0 |
| 1 | 2 | 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: 0.0000000012
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