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Match each expression on the left with an equivalent expression on the right.

A) (2.4) + (7 / 2): 10
B) 5.3 ✕ (4 / 2): 7.5
C) (10.5) / 3: 3.5
D) (4 ✕ 7) - (5 ✕ 10): -3

1 Answer

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Final answer:

The question pertains to Mathematics, focusing on equivalent expressions. Evaluating the given expressions requires arithmetic computation, considering the rules for signs when performing multiplication and division. However, matching cannot be completed without the list of expressions on the right.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with the understanding of equivalent expressions. None of the provided references directly answer the matching question, but they give us insight into the properties of operations such as multiplication and division. The student is supposed to match each expression on the left with its equivalent on the right by performing arithmetic operations. Now, let's evaluate each expression:

  • A) (2.4) + (7 / 2): 10
  • B) 5.3 × (4 / 2): 7.5
  • C) (10.5) / 3: 3.5
  • D) (4 × 7) - (5 × 10): -3

However, without the list of expressions on the right, it's impossible for us to match them correctly. It's important to remember that when multiplying or dividing numbers, the signs of the numbers must be considered to determine the sign of the answer, as follows:

  • When multiplying two positive numbers, the result is positive, and
  • When two negative numbers multiply, the result is also positive,
  • When numbers with opposite signs are multiplied, the resulting sign is negative.
  • Furthermore, division follows multiplication rules for signs.

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