Identify the multiplication properties in the given equations.

Here's the solution with explanations for each multiplication property:

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Key:

- CPM = Commutative Property of Multiplication
→ *Order doesn’t matter*: `a × b = b × a`

- APM = Associative Property of Multiplication
→ *Grouping doesn’t matter*: `(a × b) × c = a × (b × c)`

- ZPM = Zero Property of Multiplication
→ *Any number × 0 = 0*: `a × 0 = 0`

- IPM = Identity Property of Multiplication
→ *Any number × 1 = itself*: `a × 1 = a`

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Solutions:

1. 2 × 3 = 3 × 2 → CPM
→ The order of the numbers is switched, but the product is the same.

2. 0 × 7 = 0 → ZPM
→ Any number multiplied by zero equals zero.

3. 1 × 6 = 6 → IPM
→ Multiplying by 1 leaves the number unchanged.

4. 2 × (4 × 5) = (2 × 4) × 5 → APM
→ The grouping of numbers changes, but the result is the same.

5. 8 × 5 = 5 × 8 → CPM
→ Order of factors is reversed — commutative property.

6. (9 × 2) × 4 = 9 × (2 × 4) → APM
→ Grouping changes from `(9×2)` first to `(2×4)` first — associative.

7. 12 × 0 = 0 → ZPM
→ Any number times zero is zero.

8. 37 × 1 = 37 → IPM
→ Multiplying by 1 gives the original number.

9. 2 × 7 = 7 × 2 → CPM
→ Switching the order of multiplication — commutative.

10. 5 × (2 × 3) = (5 × 2) × 3 → APM
→ Changing the grouping of multiplication — associative.

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✔ Final Answers:

1. CPM
2. ZPM
3. IPM
4. APM
5. CPM
6. APM
7. ZPM
8. IPM
9. CPM
10. APM

Let me know if you’d like a visual diagram or mnemonic to remember these!