Back to Use rational approximations of irrational numbers — Problem 3 · 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

Work through problems with immediate feedback

Fluency Practice

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

$Number line from 2 to 3 with tick marks labeled at every tenth, no point plotted$

On the number line shown, between which two tenths marks should $\sqrt{6}$ be placed? Use $2.4^2 = 5.76$ and $2.5^2 = 6.25$ .

Between $2.4$ and $2.5$ .

Between $2.9$ and $3.0$ .

Between $5.7$ and $6.2$ .

Exactly on $3.0$ .