Question

Dan is solving 18 × 16. He used an area model to help work through each step. Which calculation did Dan make to get the highlighted partial product? (48)

Option 1: 10 × 10
Option 2: 10 × 6
Option 3: 8 × 10
Option 4: 8 × 6

Answer 1

The correct calculation Dan made to get the highlighted partial product of 48 in the area model for 18 × 16 is 8 × 6, which is Option 4.

Step-by-step explanation:

The student's question involves solving 18 × 16 using an area model and identifying the calculation made to get a partial product of 48. Looking at the options given, to obtain a product of 48, Dan must have multiplied 8 by 6. Therefore, the correct option is:

Option 4: 8 × 6

The area model breaks down the multiplication of two numbers into smaller, more manageable pieces. In this case, the number 18 can be split into 10 and 8, and the number 16 can be split into 10 and 6. Then, each part is multiplied separately before combining them to get the final product. The partial product of 48 comes specifically from multiplying the 'ones' parts of both numbers, which are 8 (from 18) and 6 (from 16).