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 |
| 3 | . | 4 | 5 | 6 | 7 | |
| × | 4 | |||||
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 4 decimal place(s). So once calculated, the result will be reduced by the factor of 10,000.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | 4 | 5 | 6 | 7 | ||
| × | 4 | |||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (4) of the multiplier 4 by each digit of the multiplicand 34,567, from right to left.
Multiply the ones digit (4) of the multiplicator by the number in the ones place value:
4×7=28
Write 8 in the ones place.
Because the result is greater than 9, carry the 2 to the tens place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | ||||||
| 3 | 4 | 5 | 6 | 7 | ||
| × | 4 | |||||
| 8 |
Multiply the ones digit (4) of the multiplicator by the number in the tens place value and add the carried number (2):
4×6+2=26
Write 6 in the tens place.
Because the result is greater than 9, carry the 2 to the hundreds place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 2 | |||||
| 3 | 4 | 5 | 6 | 7 | ||
| × | 4 | |||||
| 6 | 8 |
Multiply the ones digit (4) of the multiplicator by the number in the hundreds place value and add the carried number (2):
4×5+2=22
Write 2 in the hundreds place.
Because the result is greater than 9, carry the 2 to the thousands place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 2 | 2 | ||||
| 3 | 4 | 5 | 6 | 7 | ||
| × | 4 | |||||
| 2 | 6 | 8 |
Multiply the ones digit (4) of the multiplicator by the number in the thousands place value and add the carried number (2):
4×4+2=18
Write 8 in the thousands place.
Because the result is greater than 9, carry the 1 to the ten thousands place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 2 | 2 | 2 | |||
| 3 | 4 | 5 | 6 | 7 | ||
| × | 4 | |||||
| 8 | 2 | 6 | 8 |
Multiply the ones digit (4) of the multiplicator by the number in the ten thousands place value and add the carried number (1):
4×3+1=13
Write 3 in the ten thousands place.
Because the result is greater than 9, carry the 1 to the hundred thousands place.
| Place value | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 2 | 2 | 2 | ||
| 3 | 4 | 5 | 6 | 7 | ||
| × | 4 | |||||
| 1 | 3 | 8 | 2 | 6 | 8 |
Because we have 4 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 4 time(s) to the left (reducing the result by the factor of 10,000) to get the final result:
The solution is: 13.8268
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