To find the product of 13 × 18 using partial products, we can break it down into smaller parts.
We can express 13 and 18 in terms of their place values:
- 13 = 10 + 3
- 18 = 10 + 8
Using these values, we can create a multiplication array and find the partial products:
- Multiply 10 (from 13) and 10 (from 18) = 100
- Multiply 10 (from 13) and 8 (from 18) = 80
- Multiply 3 (from 13) and 10 (from 18) = 30
- Multiply 3 (from 13) and 8 (from 18) = 24
Now we can list the partial products we found:
- 100 (10 × 10)
- 80 (10 × 8)
- 30 (3 × 10)
- 24 (3 × 8)
To find the total product of 13 × 18, Ani should add these partial products together:
100 + 80 + 30 + 24
Looking at the choices provided, the correct response is:
24 + 30 + 80 + 100