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 | hundred thousandths | millionths | ten millionths | hundred millionths |
| 5 | . | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | |
| × | 3 | |||||||||
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 8 decimal place(s). So once calculated, the result will be reduced by the factor of 100,000,000.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (3) of the multiplier 3 by each digit of the multiplicand 533,333,333, from right to left.
Multiply the ones digit (3) of the multiplicator by the number in the ones place value:
3×3=9
Write 9 in the ones place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 |
Multiply the ones digit (3) of the multiplicator by the number in the tens place value:
3×3=9
Write 9 in the tens place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the hundreds place value:
3×3=9
Write 9 in the hundreds place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the thousands place value:
3×3=9
Write 9 in the thousands place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 | 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the ten thousands place value:
3×3=9
Write 9 in the ten thousands place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 | 9 | 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the hundred thousands place value:
3×3=9
Write 9 in the hundred thousands place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 | 9 | 9 | 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the millions place value:
3×3=9
Write 9 in the millions place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the ten millions place value:
3×3=9
Write 9 in the ten millions place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Multiply the ones digit (3) of the multiplicator by the number in the hundred millions place value:
3×5=15
Write 5 in the hundred millions place.
Because the result is greater than 9, carry the 1 to the billions place.
| Place value | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | ||||||||||
| 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | ||
| × | 3 | |||||||||
| 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Because we have 8 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 8 time(s) to the left (reducing the result by the factor of 100,000,000) to get the final result:
The solution is: 15.99999999
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