Final answer:
To solve the multiplication problems presented by the student, we apply the rules of multiplying integers. Each pair of numbers is multiplied following these rules to yield the correct products: -24 * -4 = 96, -2 * -4 = 8, and -8 * 9 = -72.
Step-by-step explanation:
The student is asked to multiply sets of numbers and match them with their products. Using the rules for multiplication of integers, we can find the products for each pair:
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- -24 multiplied by -4 gives us +96, because the product of two negative numbers is positive.
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- -2 multiplied by -4 also results in a positive number, giving us +8.
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- -8 multiplied by 9 results in -72, since a negative multiplied by a positive yields a negative product.
So the correct pairs are -24 * -4 = 96, -2 * -4 = 8, and -8 * 9 = -72.