Back to Use rational approximations of irrational numbers — Problem 2 · Task Set 2

Exercises: Approximating Irrational Numbers

Work through each section in order. Show your squaring work where indicated. When you give a decimal value for an irrational number, remember it is an approximation — use the $\approx$ symbol, not $=$.

Grade 8·23 problems·~40 min·Common Core Math - Grade 8·container·8-ns-a-2

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Fluency Practice

Approximate, locate, compare, and estimate. Show your squaring work.

Approximate $\sqrt{7}$ to the hundredths place by finding the lower hundredth. Test values: $2.64^2 = 6.9696$ and $2.65^2 = 7.0225$ . Give the left endpoint of the interval that traps $\sqrt{7}$ .