Final answer:
The expressions 9 × (-2), (-2) × 9, and 3 × (-6) all have the same product as (-6) × 3, which is -18. The correct options are A, B, and D.
Step-by-step explanation:
To determine which expression has the same product as (-6) × 3, we need to remember how multiplication works with negative numbers:
- When two positive numbers multiply, the product is positive.
- When two negative numbers multiply, the product is also positive.
- When a positive and a negative number multiply, the product is negative.
Using these rules, let's find the product of (-6) × 3:
(-6) × 3 = -18
We are looking for an expression that will also yield -18 as a product. Now, let's check the provided options:
- 9 × (-2) = -18
- (-2) × 9 = -18
- 18 × (-2) = -36
- 3 × (-6) = -18
- -6 × (-3) = 18
Options A and B give us a product of -18, which matches the product of (-6) × 3. Option C gives us -36, option D is essentially the same as our original expression so it is also correct, and option E gives us 18, which is positive and does not match our needed negative product.
Therefore, the correct options that have the same product as (-6) × 3 are A, B, and D.