MTTC Mathematics (Secondary) (022) Practice Questions - MTTC Mathematics (Secondary) (022) Test Exam

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A teacher wants students to estimate the product 48 x 52 mentally before computing. Which strategy gives a quick exact answer using the difference of squares pattern?

Recognize 48 x 52 = (50 - 2)(50 + 2) = 50^2 - 2^2 = 2500 - 4 = 2496 Round both factors to 50 and report 2500 as the exact product Add 48 and 52 to get 100, then multiply by 2 Compute 48 x 50 and ignore the remaining 2

Correct Answer:

Recognize 48 x 52 = (50 - 2)(50 + 2) = 50^2 - 2^2 = 2500 - 4 = 2496

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