Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones | . | tenths | hundredths | thousandths | ten thousandths |
| 1 | . | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 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 4 decimal place(s). So once calculated, the result will be reduced by the factor of 10,000.
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
2. Multiply the numbers using long multiplication method
Because the hundred thousands digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the millions digit (3) of the multiplier (3,000,000) by each digit of the multiplicand (11,853), from right to left.
Because digit (3) is in millions place, we shift partial result by 6 place(s) by placing 6 zero(s).
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (3) of the multiplicator by the number in the ones place value:
3×3=9
Write 9 in the millions place.
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| 9 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (3) of the multiplicator by the number in the tens place value:
3×5=15
Write 5 in the ten millions place.
Because the result is greater than 9, carry the 1 to the hundred millions place.
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | |||||||||||
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (3) of the multiplicator by the number in the hundreds place value and add the carried number (1):
3×8+1=25
Write 5 in the hundred millions place.
Because the result is greater than 9, carry the 2 to the billions place.
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 1 | ||||||||||
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| 5 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (3) of the multiplicator by the number in the thousands place value and add the carried number (2):
3×1+2=5
Write 5 in the billions place.
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 1 | ||||||||||
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| 5 | 5 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the millions digit (3) of the multiplicator by the number in the ten thousands place value:
3×1=3
Write 3 in the ten billions place.
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 2 | 1 | ||||||||||
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| 3 | 5 | 5 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 |
35,559,000,000 is the first partial product.
3. Add the partial products
35559000000=35559000000 long addition steps can be seen here
| Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
| 1 | 1 | 8 | 5 | 3 | |||||||
| × | 3 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| + | 3 | 5 | 5 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3 | 5 | 5 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 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: 3,555,900
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