Rational & Irrational #’s
Square & Cube Roots
0011 0010 1010 1101 0001 0100 1011
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2
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Milestones Review #2
Rational Versus Irrational #’s
Directions: Determine if the following numbers are
rational or irrational, explain why.
0011 0010 1010 1101 0001 0100 1011
1) 5.1252
Rational
Terminating
4 Rational
2) − 3 Fraction
3
3) 25
4) 8𝜋
Irrational
Pi
(non terminating and non repeating)
5) 3.24
Irrational
6)
Not a perfect cube
1
2
Rational
Repeating
4
196
Rational
Perfect Square
Graphing
7) Directions: Plot each number on the
0011 0010
1010 1101
0001 0100 1011
graph
below:
dc
b
0 0.2 0.4 0.6 0.8
a.
12
5
1
1.2 1.4 1.6 1.8
b. 30%
a
2
c. 1.7
1
2.2 2.4 2.6
2.8
2
4
d.
2
1
3
Conversions
8) Convert 0.5 to a fraction.
0011 0010 1010 1101 0001 0100 1011
9) Convert
1
−4
5
to a decimal.
10) Convert 5.3% to a decimal.
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2
4
Estimation
11)
15 is between what two numbers?
0011 0010 1010 1101 0001 0100 1011
12) Estimate − 31 to the nearest tenth.
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2
4
Comparison
Directions: use the symbols <, >, or = to
0011 0010 1010 1101 0001 0100 1011
compare each set of numbers.
13)
14)
3
125
1.223
5
2
1
7
1
2
4
Ordering
15) Directions: Write the set of numbers in
0011 0010 1010 1101 0001 0100 1011
order from least to greatest.
17
3.5
14
3
3
27
1
2
4
Square Roots
16) Directions: Find each square root!
0
25
100
1
36
121
4
49
144
64
169
0011 0010 1010 1101 0001 0100 1011
9
16
81
1
225
2
4
196
Cube Roots
17) Directions: Find each cube root.
0011 0010
3 1010 1101 0001
3 0100 1011
0
27
3
216
3
3
1
3
64
3
343
3
3
8
3
125
3
512
729
1
1000
2
4
Estimating
18) Directions: Estimate each value to the
0011 0010 1010 1101 0001 0100 1011
nearest whole number.
1) 5 20
1
2) 4𝜋
3)
50 +
12
5
2
4
Quiz Time
0011 0010 1010 1101 0001 0100 1011
Lesson #2
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2
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Quiz Time!
1) Which symbol goes in the blank to make this
0011 0010 1010 1101 0001 0100 1011
sentence true:
15
𝜋
a) >
c) =
b) <
d) +
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2
4
Quiz Time!
2) Which is a rational number in which one or more
0011 0010 1010 1101 0001 0100 1011
non-zero digits repeat?
a) 23.5%
b)
𝟓
𝟔
c)
𝟑
d) 𝝅
1
2
4
Quiz Time!
3) Which point on the number line best
0011 0010
1010 1101 0001
represents
5?0100 1011
𝑊
0 0.2 0.4 0.6 0.8
a) Point W
b) Point X
𝑋
1
𝑌
1.2 1.4 1.6 1.8
2
𝑍
1
2.2 2.4 2.6
2.8
2
4
c) Point Y
d) Point Z
Quiz Time!
4) Which number is the decimal expansion of
0011 0010 1010 1101 0001 0100 1011
a) 0.2
c) 2.9
b) 0.𝟐
d) 𝟎. 𝟐𝟗
1
2
?
9
2
4
Quiz Time!
5) Which set of numbers is ordered from least to
0011 0010 1010 1101 0001 0100 1011
greatest?
a) 4%, 𝟒,
b) 𝟒,
𝟏
𝟒 ,
𝟓
c) 4%, 𝟒,
d)
𝟏
𝟒 ,
𝟓
𝟏
𝟒 ,
𝟓
4.25
4%, 4.25
𝟏
4.25, 𝟒
𝟓
4.25, 4%, 𝟒
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2
4
Quiz Time!
6) Simplify
3
512
0011 0010 1010 1101 0001 0100 1011
a) 8
c) 7
b) 6
d) 5
1
2
4
Quiz Time!
7) Simplify 64
0011 0010 1010 1101 0001 0100 1011
a) 8
c) 4
b) 32
d) 5
1
2
4
Quiz Time!
8) Estimate 5 104
0011 0010 1010 1101 0001 0100 1011
a) 500
c) 200
b) 15
d) 50
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2
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Homework Practice
0011 0010 1010 1101 0001 0100 1011
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