11.5 Year End Review
Name: ___________________________________Per._______
Chapter 5 – Rational/Irrational Numbers
𝟏
1. A square has an area of 𝟏𝟔 in2. Determine the length of each side. Justify your answer.
a) 4 in. b)
𝟏
𝟖
in.
c)
𝟏
𝟒
in.
d)
𝟏
in.
𝟑𝟐
Justify: _______________________________
2. Find the edge length of a cube with the given volume. Show your work.
a. V= 64 cm3
b. V = 8 in3
3. Write the following rational numbers as fractions. Reduce to LOWEST TERMS.
a. 0.6
b. 3.21
c. 0.545454….
4. Determine whether the number is rational or irrational. Justify each answer.
3
a) √125
Rat/Irrat? Justify:
d) 4.333 Rat/Irrat? Justify:
b) √125
Rat/Irrat? Justify:
e) -π
Rat/Irrat? Justify:
𝟑
c) 4.333333… Rat/Irrat? Justify:
f) 𝟕
Rat/Irrat? Justify:
5. Place the following 12 numbers in the appropriate boxes below.
0.64125…., 0, - 9, 7,
0.47, 11.444… ,
3
4
3
, √17 , π , - √16 , - √11 ,
3
√27
6. √44 Lies between which two integers? Justify your answer.
a) between 40 and 50
b) between 6 and 7
c) between 12 and 13
Justify: ______________________________________________
𝟏
KEY: 1) ¼ in. b/c ( ¼ )2 = 𝟏𝟔 3)
3
𝟔
𝟏𝟎
Irrational: 0.64125... √17 -√11 π
𝟑𝟐𝟏 𝟏
𝟏𝟎𝟎 𝟏𝟔
3
5) Natural: 7, √27 Whole: 0 Integers: - √16 -9 Rational: 0.47
3
4
11.444…