High School

The model shows how to find \(4 \times 173\). Which of the following equations show the partial products represented by the model?

A) \(4 \times 173 = 173 + 346 + 519 + 692\)

B) \(4 \times 173 = 173 + (3 \times 173) + (5 \times 173) + (6 \times 173)\)

C) \(4 \times 173 = (1 \times 173) + (3 \times 173) + (5 \times 173) + (7 \times 173)\)

D) \(4 \times 173 = (1 \times 173) + (3 \times 173) + (5 \times 173) + (6 \times 173)\)

Answer :

Final answer:

The correct equation showing the partial products represented by the model is: 4 x 173 = 173 + 346 + 519 + 692. These are derived from multiplying 173 by 1, 2, 3, and 4.

Explanation:

The correct answer is option A: 4 x 173 = 173 + 346 + 519 + 692. The question asks for the partial products of multiplication, which are the products obtained by multiplying the digit in each place by the other whole number. Here's how you get to the answer: multiply 173 by 1, 2, 3, and 4 respectively. These calculations give the results 173, 346, 519, and 692. If you add these numbers together, the sum is 1730, which is exactly the same as 4 times 173. Therefore, these are the partial products represented by the model.

Learn more about Partial Products here:

https://brainly.com/question/17871070

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