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Which of these expressions has the same product as (-6) ∗ 3 ?

A. 9 ∗ (-2)
B. (-2) ∗ 9
C. 18 ∗ (-2)
D. 3 ∗ (-6)
E -6 ∗ (-3)

User Andyras
by
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1 Answer

6 votes

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:

  1. 9 × (-2) = -18
  2. (-2) × 9 = -18
  3. 18 × (-2) = -36
  4. 3 × (-6) = -18
  5. -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.

User Twi
by
8.6k points
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