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 |
| 1 | 3 | 2 | 0 | . | 1 | 4 | 9 | 6 | |
| × | 5 | ||||||||
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 | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (5) of the multiplier 5 by each digit of the multiplicand 13,201,496, from right to left.
Multiply the ones digit (5) of the multiplicator by the number in the ones place value:
5×6=30
Write 0 in the ones place.
Because the result is greater than 9, carry the 3 to the tens place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 3 | ||||||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 0 |
Multiply the ones digit (5) of the multiplicator by the number in the tens place value and add the carried number (3):
5×9+3=48
Write 8 in the tens place.
Because the result is greater than 9, carry the 4 to the hundreds place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 4 | 3 | |||||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 8 | 0 |
Multiply the ones digit (5) of the multiplicator by the number in the hundreds place value and add the carried number (4):
5×4+4=24
Write 4 in the hundreds place.
Because the result is greater than 9, carry the 2 to the thousands place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 4 | 3 | ||||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 4 | 8 | 0 |
Multiply the ones digit (5) of the multiplicator by the number in the thousands place value and add the carried number (2):
5×1+2=7
Write 7 in the thousands place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 4 | 3 | ||||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 7 | 4 | 8 | 0 |
Multiply the ones digit (5) of the multiplicator by the number in the ten thousands place value:
5×0=0
Write 0 in the ten thousands place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 4 | 3 | ||||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 0 | 7 | 4 | 8 | 0 |
Multiply the ones digit (5) of the multiplicator by the number in the hundred thousands place value:
5×2=10
Write 0 in the hundred thousands place.
Because the result is greater than 9, carry the 1 to the millions place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 2 | 4 | 3 | |||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 0 | 0 | 7 | 4 | 8 | 0 |
Multiply the ones digit (5) of the multiplicator by the number in the millions place value and add the carried number (1):
5×3+1=16
Write 6 in the millions place.
Because the result is greater than 9, carry the 1 to the ten millions place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 2 | 4 | 3 | ||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 6 | 0 | 0 | 7 | 4 | 8 | 0 |
Multiply the ones digit (5) of the multiplicator by the number in the ten millions place value and add the carried number (1):
5×1+1=6
Write 6 in the ten millions place.
| Place value | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 2 | 4 | 3 | ||||
| 1 | 3 | 2 | 0 | 1 | 4 | 9 | 6 | |
| × | 5 | |||||||
| 6 | 6 | 0 | 0 | 7 | 4 | 8 | 0 |
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: 6600.748
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