Unit 5 Review

Rational and irrational numbers

100

Is the square root of 86 a rational or irrational number?

Irrational 

200

Of the following numbers, which is a rational square root number? 

a) 19
b) 84
c) 25
d) 74

c) 25

300

Is 7/16 an irrational number? (yes or no)

No

400

Which of the following is an irrational number? 

a) Square root of 56
b) 29.1313...(13 repeating)
c) 11/6
d) 0

a) Square root of 56 

500

Which of the following is a rational number? 

a) square root of 47
b) Pie
c) 63
d) square  root of 75 

c) 63

Converting between decimals, fractions, or mixed numbers

100

Write the fraction -23/100 as a decimal

-0.23

200

Write 8.34 as a mixed number

8 17/50

300

How do you write 0.4 with the 4 repeating as a fraction? (0.444444......)

4/9

400

How do you write 3 5/12 as a decimal? 

3.416666.... (6 repeating)

500

Write 2 7/8 as a decimal

2.875

Irrational square roots and comparing

100

Which number is closest to the square root of 204? 

a) 13.9
b) 15.3
c) 14.2
d) 14.7

c) 14.2

200

Which number is the closest to the square root of -260? 

a) -15.8
b) -16.7
c) -15.6
d) -16.1

d) -16.1

300

Put these numbers from in order from least to greatest: 

Square root of -106, -5pie, -23

-23, -5pie, square root of -106

400

What integer is closest to the cubed root of 53? 

4

500

Put these numbers in order from least to greatest

square root of -17, -pie, -5 6/7, 28/3

-5 6/7, square root of -17, -pie, 28/3

All operations with powers

100

Evaluate 3^-3

1/27

200

Evaluate (1/2)^-3

8

300

Simplify the expression: 

745⁶ x 745⁹⁸

745¹⁰⁴

400

Simplify the expression: 

987⁴⁰ ÷  987⁹⁸

987^-58

500

Simplify the expression: 

(4¹³)¹³

4¹⁶⁹

Standard and scientific notation

100

Part A: Write the following in scientific notation: 

0.0182

Part B: Write the following in standard form: 

9.6043 x 10⁴

Part A: 1.82 x 10^-2

Part B: 96,043

200

Multiply the following and write your answer in scientific notation: 

0.08 x (5 x 10⁰)

4 x 10^-1

300

Add the following and write your answer in scientific notation: 

(2.1 x 10³) + (6.1 x 10⁴)

6.31 x 10⁴

400

Divide the following and write your answer in scientific notation: 

(2.21 x 10⁰) ÷ (2.6 x 10⁸)

8.5 x 10^-9

500

Compare the following using the <, >, or =: 

6.567 x 10¹² ____ 0.006567 x 10¹⁵

6.567 x 10¹²  = 0.006567 x 10¹⁵