Solution - Long multiplication
Step-by-step explanation
1. Rewrite the numbers from top to bottom aligned to the right
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
2. Multiply the numbers using long multiplication method
Because the ones digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the tens digit (1) of the multiplier (1,010) by each digit of the multiplicand (16), from right to left.
Because digit (1) is in tens place, we shift partial result by 1 place(s) by placing 1 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 0 | |||||
Multiply the tens digit (1) of the multiplicator by the number in the ones place value:
1×6=6
Write 6 in the tens place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 6 | 0 | ||||
Multiply the tens digit (1) of the multiplicator by the number in the tens place value:
1×1=1
Write 1 in the hundreds place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 1 | 6 | 0 | |||
160 is the first partial product.
Because the hundreds digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the thousands digit (1) of the multiplier (1,010) by each digit of the multiplicand (16), from right to left.
Because digit (1) is in thousands place, we shift partial result by 3 place(s) by placing 3 zero(s).
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 1 | 6 | 0 | |||
| 0 | 0 | 0 |
Multiply the thousands digit (1) of the multiplicator by the number in the ones place value:
1×6=6
Write 6 in the thousands place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 1 | 6 | 0 | |||
| 6 | 0 | 0 | 0 |
Multiply the thousands digit (1) of the multiplicator by the number in the tens place value:
1×1=1
Write 1 in the ten thousands place.
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 1 | 6 | 0 | |||
| 1 | 6 | 0 | 0 | 0 |
16,000 is the second partial product.
3. Add the partial products
160+16000=16160 long addition steps can be seen here
| Place value | ten thousands | thousands | hundreds | tens | ones |
| 1 | 6 | ||||
| × | 1 | 0 | 1 | 0 | |
| 1 | 6 | 0 | |||
| + | 1 | 6 | 0 | 0 | 0 |
| 1 | 6 | 1 | 6 | 0 |
The solution is: 16,160
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