Factors
Simplify
Evaluate
Simplifying Fractions
Scientific/Standard Notation
100

Is the number 270 divisible by 2, 3, 5, 9, or 10?

It is divisible by all of them!

100

53

5x5x5 = 125

100

Evaluate for a = -2 and b = 3.

(a x b)2

(-2 x 3)2 = (-6)2 = -6 x -6 = 36

100

Simplify the fraction. The first number is the top number over the second number.

2/8

1/4

100

Write the number in scientific notation:

43,000,000

4.3 x 107

200

List the factors of the number 64.

1, 2, 4, 8, 16, 32, 64

200

a4 x a

a5

200

Evaluate for a = -2 and b = 3.

a3b

-23 x 3 = -2 x -2 x -2 = -8 x 3 = -24

200

Simplify the fraction. The first number is the top number over the second number.

4/16

1/4

200

Write the number in scientific notation:

0.00000000099

9.9 x 10-10

300

Complete a factor tree for 42. What are the prime numbers in the factor tree?

You should have a tree with the prime numbers 2, 3, and 7.

300

b8

___

b11

b8                      1

___   = b-3 =   ____

b11                     b3

300

Evaluate for a = -2 and b = 3.

b3 x b0

33 x 30 = 3 x 3 x 3 = 27 x 30 = 27 x 1 = 27

300

Simplify the fraction. The first number is the top number over the second number.

44/52

11/13

300

Write the number in standard notation:

9.3 x 108

930,000,000

400

Name five prime numbers.

2, 3, 5, 7, 11, 13, 17, 19, 23...

400

2(22 + 33)

2 x 2 = 4

3 x 3 x 3 = 27

2(4 + 27) = 2(31) = 62

400

Evaluate for x = 4 and y = -3.

xy

__

5x

4 x -3   =   -12      =   -3

    _____       ____        ____

5 x 4    =   20        =   5

400

Simplify the fraction. The first number is the top number over the second number.

15/63

5/21

400

Write the number in standard notation:

3.812 x 10-7

0.0000003812

500

Find the greatest common factor 56 and 96 share.

8

500

(6 + -2)2

_________

2

(6 + -2)2 = (4)2 = 16 / 2 = 8

500

Evaluate for x = 4 and y = -3.

(y)2 - x

____

5

(-3)2 - 4   =   9 - 4      =    5

           _______        _____        _____      =   1

  5          =    5          =   5

500

Simplify the fraction. The first number is the top number over the second number.

8m4n2/40mn

1m3n/5

500

Multiply and write in scientific notation:

(8.3 x 106)(3 x 105)

2.49 x 1012

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