Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
2. Multiply the numbers using long multiplication method
Start by multiplying the ones digit (5) of the multiplier 365 by each digit of the multiplicand 215,000,000, from right to left.
Multiply the ones digit (5) of the multiplicator by the number in the ones place value:
5×0=0
Write 0 in the ones place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | |||||||||||
Multiply the ones digit (5) of the multiplicator by the number in the tens place value:
5×0=0
Write 0 in the tens place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | ||||||||||
Multiply the ones digit (5) of the multiplicator by the number in the hundreds place value:
5×0=0
Write 0 in the hundreds place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | |||||||||
Multiply the ones digit (5) of the multiplicator by the number in the thousands place value:
5×0=0
Write 0 in the thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | 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 billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | 0 | 0 | |||||||
Multiply the ones digit (5) of the multiplicator by the number in the hundred thousands place value:
5×0=0
Write 0 in the hundred thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
0 | 0 | 0 | 0 | 0 | 0 | ||||||
Multiply the ones digit (5) of the multiplicator by the number in the millions place value:
5×5=25
Write 5 in the millions place.
Because the result is greater than 9, carry the 2 to the ten millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
5 | 0 | 0 | 0 | 0 | 0 | 0 | |||||
Multiply the ones digit (5) of the multiplicator by the number in the ten millions place value and add the carried number (2):
5×1+2=7
Write 7 in the ten millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
Multiply the ones digit (5) of the multiplicator by the number in the hundred millions place value:
5×2=10
Write 0 in the hundred millions place.
Because the result is greater than 9, carry the 1 to the billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | 2 | ||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1,075,000,000 is the first partial product.
Proceed by multiplying the tens digit (6) of the multiplier (365) by each digit of the multiplicand (215,000,000), from right to left.
Because digit (6) is in tens place, we shift partial result by 1 place(s) by placing 1 zero(s).
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | |||||||||||
Multiply the tens digit (6) of the multiplicator by the number in the ones place value:
6×0=0
Write 0 in the tens place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | ||||||||||
Multiply the tens digit (6) of the multiplicator by the number in the tens place value:
6×0=0
Write 0 in the hundreds place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | |||||||||
Multiply the tens digit (6) of the multiplicator by the number in the hundreds place value:
6×0=0
Write 0 in the thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | ||||||||
Multiply the tens digit (6) of the multiplicator by the number in the thousands place value:
6×0=0
Write 0 in the ten thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | |||||||
Multiply the tens digit (6) of the multiplicator by the number in the ten thousands place value:
6×0=0
Write 0 in the hundred thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | ||||||
Multiply the tens digit (6) of the multiplicator by the number in the hundred thousands place value:
6×0=0
Write 0 in the millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | |||||
Multiply the tens digit (6) of the multiplicator by the number in the millions place value:
6×5=30
Write 0 in the ten millions place.
Because the result is greater than 9, carry the 3 to the hundred millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
Multiply the tens digit (6) of the multiplicator by the number in the ten millions place value and add the carried number (3):
6×1+3=9
Write 9 in the hundred millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |||
Multiply the tens digit (6) of the multiplicator by the number in the hundred millions place value:
6×2=12
Write 2 in the billions place.
Because the result is greater than 9, carry the 1 to the ten billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | 3 | ||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
12,900,000,000 is the second partial product.
Proceed by multiplying the hundreds digit (3) of the multiplier (365) by each digit of the multiplicand (215,000,000), from right to left.
Because digit (3) is in hundreds place, we shift partial result by 2 place(s) by placing 2 zero(s).
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the ones place value:
3×0=0
Write 0 in the hundreds place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the tens place value:
3×0=0
Write 0 in the thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the hundreds place value:
3×0=0
Write 0 in the ten thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the thousands place value:
3×0=0
Write 0 in the hundred thousands place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the ten thousands place value:
3×0=0
Write 0 in the millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the hundred thousands place value:
3×0=0
Write 0 in the ten millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the 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 | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the ten millions place value and add the carried number (1):
3×1+1=4
Write 4 in the billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
4 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundreds digit (3) of the multiplicator by the number in the hundred millions place value:
3×2=6
Write 6 in the ten billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
1 | |||||||||||
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
6 | 4 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
64,500,000,000 is the third partial product.
3. Add the partial products
1075000000+12900000000+64500000000=78475000000 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 |
2 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | |||
× | 3 | 6 | 5 | ||||||||
1 | 0 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
+ | 6 | 4 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
7 | 8 | 4 | 7 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
The solution is: 78,475,000,000
How did we do?
Please leave us feedback.