If you multiply 738 by 45, what will be the partial products?

Question

2,952 and 36,900
3,690 and 29,520
3,690 and 2,952
36,900 and 29,520

Answer 1

To find the partial products when multiplying \(738\) by \(45\), we can break \(45\) into \(40\) and \(5\) and then calculate:

1. \(738 \times 40\)
2. \(738 \times 5\)

Let's calculate each part:

1. Calculating \(738 \times 40\): \[ 738 \times 40 = 738 \times (4 \times 10) = (738 \times 4) \times 10 \] First, calculate \(738 \times 4\): \[ 738 \times 4 = 2952 \] Now multiply by \(10\): \[ 2952 \times 10 = 29520 \]

2. Calculating \(738 \times 5\): \[ 738 \times 5 = 3690 \]

Now we have the partial products:

• \(29520\) (from \(738 \times 40\))
• \(3690\) (from \(738 \times 5\))

Therefore, the correct partial products are: 3,690 and 29,520.