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Name: _____________________________ Date: ___________________ Period: __________________ Placing Rational Numbers on a Number Line “Cheat Sheet”: Fill in the missing blanks with the correct perfect squares and square roots. "Cheat Sheet" 4 Square Root Perfect Square 1 11 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) 50 is between __________________ and __________________. 2) 130 is between __________________ and __________________. 3) 18 is between __________________ and __________________. 4) 75 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) 17 2) Л 3) 4) 2 28 5) 18 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) 3 2) Л / 2 3) 4) 5 26 5) 14 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 c) d) e) 3 f) - g) 4.6 h) 2Л _ _