Download Real Numbers on a # line

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
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