Scientific Notation
Exponents
Decimal and Place Value
Perfect Squares and Square Roots
Rational and Irrational Numbers
100

Write in Scientific Notation

5,000

5.0 x 103

100

Write the symbol for the expression below and evaluate. 

Two to the power of seven. 

2= 128

100

Write Method A, B, and C of the number below. 

4, 576

A - 4000 + 500 + 70 + 6

B - 4x1000 + 5x100 + 7x10 + 6x1

C - 4x10+ 5x10+ 7x10+ 6x100

100

Is 1 a perfect square? 

√1 = 1


YES

100

True or false: Irrational numbers have decimals that terminate. 

Rational numbers have decimals that never terminate. 

True 


False 

200

Write in Scientific Notation

100,000

1 x 105

200

Write the symbol for the following expression and evaluate. 

3 to the fourth power

34 = 81


200

Write the following number in written form. 

458.756

Four hundred fifty-eight AND seven hundred fifty-six thousandths 

200

Is 81 a perfect cube? 

√81 = 9

It is a perfect square but NOT a perfect cube. 

200

Which of the following rational categories would this number fall under?

-10

What are integers and rational?

300

Write in Standard Form

2.5 x 104


25,000

300

Calculate - 1.32

1.69

300

Write the following number in expanded form. 

458.756

400 + 50 + 8 + 7/10 + 5/100 + 6/1000

or 

4x100 + 5x10 + 8x1 + 7x1/10 + 5x1/100 + 6x1/1000

4x102 + 5x101 + 8x100 + 7x10-1 + 5x10-2 + 6x10-3

300

If 13is 169, then what is the square root of 169? 

√169 = 13



300

Is the following number rational or irrational? How do you know?

-7/5

It is rational because it can be expressed as a fraction. 

400

Write in Scientific Notation 

0.0000036

3.6 x 10-6

400

Write the following expression in repeated multiplication and solve using the tree. 

125

12 * 12 * 12 * 12 * 12 = 248, 832

400

Rewrite the numbers below and put a decimal point in each number so the digit 5 has a value of 5/100. Add zeros where necessary. 

5                     75                            675

What is 

0.005

0.075

0.675

400

Estimate what perfect squares the square root of 54 would fall between.

Estimate what perfect squares the square root of 250 would fall between.

Square root 54 would fall between 49 and 64; therefore, it would fall between 7 and 8.

Square root 250 would fall between 225 and 256; therefore, it would fall between 15 and 16.  

400

Is the following number rational or irrational? How do you know? 

0.875

It is rational because it can be expressed as a fraction and the decimal terminates. 

500

Write in Scientific Notation

0.000589078

5.8 x 10-4

500

Exponent Rule - any number raised to the power of 0 is equal to ...

1

500

List all perfect squares from 0-10 (Grade 7s) and 0-20 (Grade 8s)

Teacher will look around. 

500

For each rational category, list an example of each. 

Hint: natural, whole... 

Provide an example of an irrational number. 

Natural (counting): 2

Whole: 0

Integers: (-6)

Rational (terminating and repeating decimals) 

terminating - 0.75

repeating - 0.333333...

Irrational - 0.3465797685 or any square root of a prime number

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