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Unit 1 Lessons 2-3 Review: Estimating Roots

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

√49 is a/an ________number.

a)

Rational

b)

Irrational

2.

√12 is an example of ______ number.

a)

Rational

b)

Irrational

3.

0. 222... can be classified as ______ number.

a)

Rational

b)

Irrational

4.

Select all: Natural Numbers

a)

4.5

b)

5

c)

-2

d)

0

e)

7,652

5.

Select all: Integers

a)

4.2

b)

4

c)

-4.2

d)

4/3

e)

-2

6.

Between what 2 whole numbers is 6\sqrt{6}  ?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

7.

Between what 2 whole numbers is 35\sqrt{35}  ?

a)

2 and 3

b)

3 and 4

c)

4 and 5

d)

5 and 6

8.

To which whole number is π\pi  closest on a number line?

a)

1

b)

2

c)

3

d)

4

9.
Estimate the square root.
a)
9.8
b)
9
c)
9.3
d)
10
10.

Estimate to the nearest tenth: √7

a)

3.5

b)

2.7

c)

2.3

d)

14

11.

? < 5 < ??\ <\ \sqrt{5}\ <\ ?  

a)

4 < 5 < 64\ <\ \sqrt{5}\ <\ 6  

b)

4 < 5 < 94\ <\ \sqrt{5}\ <\ 9  

c)

9 < 5 < 49\ <\ \sqrt{5}\ <\ 4  

d)

2 < 5 < 32\ <\ \sqrt{5}\ <\ 3  

12.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
13.

Estimate √87 to the nearest tenth.

a)

9.8

b)

9

c)

9.3

d)

10

14.

Estimate √63 to the nearest tenth

a)

7.1

b)

7.3

c)

7.5

d)

7.9

15.

Which of the following is the best approximation of 54\sqrt{54} ?

a)

7.3

b)

7.8

c)

8

d)

7