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Square Approximation Near Perfect Square (Level 1)

This math topic focuses on estimating the square of numbers close to perfect squares. It involves exercises where students approximate the squares of decimal numbers that are near whole numbers with known squares. Each problem provides a whole square (e.g., \(4^2 = 16\)) and asks for the approximation of a slightly smaller or larger decimal value (e.g., \(3.9^2\)). Multiple-choice answers are given for each query, challenging students to approximate square values critically. This is an advanced exercise within the unit on squares and square roots.

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Square Approximation Near Perfect Square

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What is a good approximation for the second square

82=647.82≈?8^2 = 64\\7.8^2 \approx ?