8.NS.1.b: Use rational approximations (to the nearest hundredth) of irrational numbers to compare, order, and locate values on a number line. Radicals may include both positive and negative square roots of values from 0 to 400 yielding an irrational number.

Use rational approximations (to the nearest hundredth) of irrational numbers to compare, order, and locate values on a number line. Radicals may include both positive and negative square roots of values from 0 to 400 yielding an irrational number.

Example Problems

Is

\sqrt{10}

closer to

3.16

or

3.17

?

Is

-\sqrt{84}

closer to

-9.1

or

-9.2

?

Is

-\sqrt{50}

closer to

-7.0

or

-7.1

?

Khan Academy Resources

Approximating square roots Comparing irrational numbers with a calculator Comparing irrational numbers Approximating square roots to hundredths Comparing values with calculator Comparing irrational numbers with radicals

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