Rational Numbers as Decimals
Understanding Rational Numbers
Square Root and Cube Root
Use Properties of Integer Exponents
Scientific Notation
100

Write this number as a fraction or a mixed number.

.7.... (Repeating) 

7/9

100

Between which two whole numbers does the square root of 89 fall? 

The square root of 89 falls inbetween 8 and 9. 

100

 x3=64

x =4 

100

63 x 64

67

100

Write the following number in scientific notation:

803,000,000 

8.03 x 108

200

Write this number as a fraction or a mixed number.

0.0444...

2/45 

200

Compare the following numbers: 

√8, 2.333..., 2.5, 2 1/4

2 1/4, 2.333..., 2.5, √8

200

x2=49

x=7

200

(36)-2

3-12

200

Write .0000000068 in scientific notation. 

6.8 x 10-9

300

Write this number as a fraction or a mixed number. 4.4545....

4 5/11

300

Which numbers are irrational? Select all that apply. 

√36,  √23,  -4.232323...,  .15155151555,  .3555...,  π

√23,  .15155151555,  π

300

x3=125

x=3√125)

300

410 divided by 4

46

300

Write 1.359x 105 in standard form

135,900

400

Write this number as a fraction or a mixed number.

2.191919199....

2 19/99

400

Classify -0.2525... as rational or irrational. Explain 

-0.2525... is rational because it can be written as a fraction

400
Maya says that the solution of the equation g2= 36 is g=6 because 6x6=36. Is Maya's reasoning complete? 

No, Maya needs to include both the positive and negative solutions of the equation. 

400

9-4

1/94

400
The population of Town A is 1.26 x 105 people. The population of Town B is 2.8 x 104 people. How many times greater is the population of Town A than Town B. Write your answer in scientific notation. 

4.5 times greater

500

When writing a repeating decimal as a fraction, why does the fraction always have only 9s or 9 and 0s as digits in the denominator? 

You always subtract x from an equivalent expression whose constant is a power of 10. 

500

Classify each number as a perfect square, a perfect cube, both or neither. 

27, 100, 64, 24 

27- perfect cube, 100-perfect square, 64-both, 24- neither 

500

The area of a square garden is 121 ft2. How long is each side of the garden? 

11 ft 

500

Evaluate each expression for x=2 and y=5. 

-4x-2 + 3y0

2

500
A large oak tree has 2 x 105 leaves during its lifespan. a large forest can have about 5 x 103 oak trees. Approximately how many leaves grow on large oak trees in a forest during the lifespan of the trees? 

About 1,000, 000, 000 or 1 x 109