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Algebra Difficulty 1.7 Junior Find the answer

Determine which of the following expressions has the largest value: 424^2, 4×24 \times 2, 424 - 2, 42\frac{4}{2}, or 4+24 + 2.

A number or a short expression. Spacing and $ signs are ignored.

Solution

We evaluate each of the five choices: 42=164^{2}=16, 4×2=84 \times 2=8, 42=24-2=2, 42=2\frac{4}{2}=2, 4+2=64+2=6. Of these, the largest is 42=164^{2}=16.

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