Sandra used partial products to find the product of 438 x 17 by multiplying 438 by 1 and 438 by 7 to get 3,066. Find the product of 438 x 17 by using partial products. Is Sandra correct? Compare your answer to Sandra's and explain why it is or is not the same.

Answer 1

To find the product of \( 438 \times 17 \) using partial products, we can break down the multiplication as follows:

1. Break down 17 into its two parts: \( 10 + 7 \).
2. Then, multiply \( 438 \) by each part separately:

\[ 438 \times 10 = 4380 \]

\[ 438 \times 7 = 3066 \]

3. Now, add the two partial products together:

\[ 4380 + 3066 \]

Now, we perform the addition:

\[ 4380 + 3066 = 7446 \]

Thus, the product of \( 438 \times 17 \) using partial products is 7446.

Comparing this to Sandra's result: she stated that \( 438 \times 17 \) equals 3066, which is not correct.

Sandra might have only calculated \( 438 \times 7 \) and forgot to add the \( 438 \times 10 \), leading to her incorrect total of 3066. The correct product, as calculated above, is 7446. The difference arises because multiplying by \( 10 \) was omitted from her calculation.