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 |
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 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 (9) of the multiplier (459,000,000) by each digit of the multiplicand (78), from right to left.
Because digit (9) 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 |
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | ||||||
Multiply the millions digit (9) of the multiplicator by the number in the ones place value:
9×8=72
Write 2 in the millions place.
Because the result is greater than 9, carry the 7 to the ten millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
7 | |||||||||||
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
2 | 0 | 0 | 0 | 0 | 0 | 0 | |||||
Multiply the millions digit (9) of the multiplicator by the number in the tens place value and add the carried number (7):
9×7+7=70
Write 0 in the ten millions place.
Because the result is greater than 9, carry the 7 to the hundred millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
7 | 7 | ||||||||||
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
702,000,000 is the first partial product.
Proceed by multiplying the ten millions digit (5) of the multiplier (459,000,000) by each digit of the multiplicand (78), from right to left.
Because digit (5) is in ten millions place, we shift partial result by 7 place(s) by placing 7 zero(s).
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
0 | 0 | 0 | 0 | 0 | 0 | 0 | |||||
Multiply the ten millions digit (5) of the multiplicator by the number in the ones place value:
5×8=40
Write 0 in the ten millions place.
Because the result is greater than 9, carry the 4 to the hundred millions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
4 | |||||||||||
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
Multiply the ten millions digit (5) of the multiplicator by the number in the tens place value and add the carried number (4):
5×7+4=39
Write 9 in the hundred millions place.
Because the result is greater than 9, carry the 3 to the billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 4 | ||||||||||
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
3 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
3,900,000,000 is the second partial product.
Proceed by multiplying the hundred millions digit (4) of the multiplier (459,000,000) by each digit of the multiplicand (78), from right to left.
Because digit (4) is in hundred millions place, we shift partial result by 8 place(s) by placing 8 zero(s).
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
3 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundred millions digit (4) of the multiplicator by the number in the ones place value:
4×8=32
Write 2 in the hundred millions place.
Because the result is greater than 9, carry the 3 to the billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | |||||||||||
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
3 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Multiply the hundred millions digit (4) of the multiplicator by the number in the tens place value and add the carried number (3):
4×7+3=31
Write 1 in the billions place.
Because the result is greater than 9, carry the 3 to the ten billions place.
Place value | ten billions | billions | hundred millions | ten millions | millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones |
3 | 3 | ||||||||||
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
3 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
3 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
31,200,000,000 is the third partial product.
3. Add the partial products
702000000+3900000000+31200000000=35802000000 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 |
7 | 8 | ||||||||||
× | 4 | 5 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | ||
7 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | |||
3 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
+ | 3 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
3 | 5 | 8 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 |
The solution is: 35,802,000,000
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