Name:



Name: _____________________________ Date: ___________________

Period: __________________

Placing Rational Numbers on a Number Line

Square Root | | | | |4 | | | | | | |11 | | | | | | |Perfect Square | |1 | | | | | | |64 | | | | | |196 | | | |**What is the best estimate of √2?

Part I - Estimating Radicals

Without using a calculator, determine which two integers each of the following radicals below falls between. Then approximate the value of the square root.

1) [pic] is between __________________ and __________________.

2) [pic] is between __________________ and __________________.

3) [pic] is between __________________ and __________________.

4) [pic] is between __________________ and __________________.

Part II - Number Line Practice

Use your new estimation skills to place each of the following radicals onto the number line below. Estimate to

the nearest tenth.

1) [pic] 2) Л 3) [pic] 4) [pic] 5) [pic]

Part III - Practice Number Line

Use your new estimation skills to place each of the following radicals onto the number line below. Estimate to

the nearest tenth.

1) [pic] 2) Л / 2 3) [pic] 4) [pic] 5) [pic]

Part IV – More with Real Numbers on a Number Line

Use all you know about fractions, decimals & roots to place each of the following real numbers onto the number line below.

a) 3.5 b) -2[pic] c) [pic] d) [pic] e) 3[pic] f) -[pic] g) 4.6 h) 2Л

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“Cheat Sheet”: Fill in the missing blanks with the correct perfect squares and square roots.

"Cheat Sheet"

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