College

Which of the following multiplication expressions can be modeled by the arrays shown? Check all that apply.

A. [tex]8 \times 3 = 24[/tex]
B. [tex]6 \times 4 = 24[/tex]
C. [tex]3 \times 12 = 36[/tex]
D. [tex]24 \times 3 = 72[/tex]
E. [tex]3 \times 8 = 24[/tex]
F. [tex]2 \times 12 = 24[/tex]

Answer :

Certainly! Let's analyze the multiplication expressions to determine which ones equal 24. We need to check each expression by multiplying the numbers and seeing if it results in 24. Here's how we can do it:

1. Expression: [tex]\(8 \times 3\)[/tex]
- Calculate: [tex]\(8 \times 3 = 24\)[/tex]
- This expression equals 24.

2. Expression: [tex]\(6 \times 4\)[/tex]
- Calculate: [tex]\(6 \times 4 = 24\)[/tex]
- This expression equals 24.

3. Expression: [tex]\(3 \times 12\)[/tex]
- Calculate: [tex]\(3 \times 12 = 36\)[/tex]
- This expression does not equal 24.

4. Expression: [tex]\(24 \times 3\)[/tex]
- Calculate: [tex]\(24 \times 3 = 72\)[/tex]
- This expression does not equal 24.

5. Expression: [tex]\(3 \times 8\)[/tex]
- Calculate: [tex]\(3 \times 8 = 24\)[/tex]
- This expression equals 24.

6. Expression: [tex]\(2 \times 12\)[/tex]
- Calculate: [tex]\(2 \times 12 = 24\)[/tex]
- This expression equals 24.

Based on our calculations, the multiplication expressions that can be modeled to equal 24 are:

- [tex]\(8 \times 3 = 24\)[/tex]
- [tex]\(6 \times 4 = 24\)[/tex]
- [tex]\(3 \times 8 = 24\)[/tex]
- [tex]\(2 \times 12 = 24\)[/tex]

These expressions give the correct product of 24 when the numbers are multiplied together.