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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