Approximating and Comparing Square Roots
√32
?

1.  Drag the numbers to the matching points

     on the number line below.

√36
?

6

√40
?
6.5
√45
?
√49
?

7

√56
?
7.5
2.  Check ALL that apply.  Which numbers below     are perfect squares?
225
15
108
16
42
324
121
312
49
3.  Order the following from least to greatest:                √26        2.4       √9       7.6     
√9 ,  2.4 ,  7.6 ,  √26  
2.4 ,  7.6 ,  √9 ,  √26 
√9 ,  2.4 ,  √26 ,  7.6  
2.4 ,  √9 ,  √26,  7.6  
4.  Which two consecutive integers does √13     lie between?
2 and 3
3 and 4
4 and 5
5 and 6
Place the symbol that is not used here: 
5.  Drag the correct symbol to the blank.
√25 + 8                  5 + √49
>
?
<
?
6.  Which two consecutive numbers does √28     lie between?
2 and 3
3 and 4
4 and 5
5 and 6
10.  A square fence has an area of 112 square    yards. Approximately how long is it on one side?     (Rounded to the nearest)
9.8 yds
10.6 yds
11. 5 yds
10. 2 yds
Place the symbol that is not used here: 
8.  Drag the correct symbol to the blank.
√36 + 9                  √102 + √25
<
?
>
?
√60
?

9.  Drag the numbers to the matching points

     on the number line below.

√64
?

8

√70
?
8.5
√76
?
√81
?

9

√90
?
9.5
7. Approximate the value      of √55 to the nearest tenth.
6.8
7.1
Choose the best answer below: 
7.4
7.8
8.3
8.7
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