Download Review Sheet: Real Number System, Square Roots, and Comparing

Review Sheet: Real Number System, Square Roots, and Comparing Numbers
Name:
Date:
Block:
Evaluate each square root if possible.
1. −√121
2. √−144
-11
Not possible
Find each square root to the nearest tenth.
3. √35
5.9
4. √145
12.0
Find the two consecutive whole numbers between which each square root lies.
5. √76
The √76 = 8.7 so it’s
Between 8 and 9
6. √341
The √341 = 18.5 so it’s
Between 18 and 19
7. Give an example of a number whose square root lies between 5 and 6.
Any number between 26 and 35 will have a square root between 5 and 6.
Real Number System
True or False. If false, tell why the statement is false.
8. A number can be both rational and irrational. ____F_____
A number can’t be both rational and irrational because irrational numbers are only
decimals that go on forever without repeating while rational contains only decimals that
end or have a repeating pattern.
9. Repeating decimals are irrational numbers. ____F______
Repeating decimals can be re-written as fraction so they are RATIONAL numbers!
10. Thirteen is rational, an integer, a whole number, and a natural number. ____T_____
Review Sheet: Real Number System, Square Roots, and Comparing Numbers
Name:
Date:
Block:
11. Place the following numbers into the Venn diagram below.
π
9
0.2
-½
7.1302…
0
√
√
3¾
-10
Real
Rational
0. Integer
0.2
Whole
π
-10
0
√
-½
Natural
3¾
7.1302…
9
√
Irrational
Order the set of rational numbers in ascending order (least to greatest).
12.
-4, 7, -8, 0, 1, 10, -1
13.
25%, 1 , 0. 2 , 2 x 10
0.25, 1.6, 0.222, 0.02
2 x 10-2, 0. 2, 25%, 1
-8, -4, -1, 0, 1, 7, 10
14. Convert the decimal 2.35 into both a reduced fraction and a percent.
235% and 2 = 2 0.