Back to Use rational approximations of irrational numbers — Problem 1 · 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.

1.

5\sqrt{5} lies between two consecutive tenths. Using 2.22=4.842.2^2 = 4.84 and 2.32=5.292.3^2 = 5.29, what is the lower tenth (the left endpoint of the interval)?