Koda is solving 13 × 16.

Question

He used an area model to help work through each step.

Which calculation did Koda make to get the highlighted partial product?

Grid with 4 squares. Column labels are 10 and 6. Row labels are 10 and 3. 1st row content is 10 times 10 and 10 times 6. 2nd row content is 3 times 10 and 3 times 6. In each box, 1st number is the same color as the row label and 2nd is the same color as the column label. At right, vertical multiplication shows 13 times 16. Below, a line and rows of numbers - 18, 60, 30, a + sign, 100. Then another line and the sum 208. The 18 is highlighted, and the digits of 13 and 16 are different colors matching the row and column label colors.
Clear Check

10 × 10

10 × 6

3 × 10

3 × 6

Answer 1

To find the highlighted partial product of 18 in Koda's area model for the multiplication \( 13 \times 16 \), we look at the individual components of the area model.

The grid represents the multiplication in terms of its parts:

• The top left box (10 × 10) represents \( 100 \),
• The top right box (10 × 6) represents \( 60 \),
• The bottom left box (3 × 10) represents \( 30 \),
• The bottom right box (3 × 6) represents \( 18 \).

The highlighted partial product of \( 18 \) corresponds to the calculation \( 3 \times 6 \).

Therefore, Koda made the calculation 3 × 6 to get the highlighted partial product.