Exponent Rules
Square and Cube Roots
Multiplying and Dividing (Scientific Notation)
Adding and Subtracting (Scientific Notation)
Question 12
100

Simplify 35 x 3-2 x 30

33=27

100

Solve for x2=256

x= 16

x=-16

100

Divide 

4.51x10-6

1.64x102

2.75x10-8

100

A Mosquito is 7 x 10-3 meters long, a ladybug is 1 x 10-2 meters long. How many times LONGER is the ladybug than the mosquito?

  1x10-2 
- 0.7x10-2

3x10-3 meters LONGER

100

a) Write 0.00000000000000000000000167 grams in Scientific Notation

1.67x10-24 grams

200

n6n3

a) n6-3=n3

b)n6 x 3

c)n6/3

d) n6+3=n9

d) n6+3=n9

200

This sugar cube box is a perfect cube and its volume is 1728 cubic centimeters. Each sugar cube inside the box is 2cm x 2cm x 2cm. How many sugar cubes fit along the length of the box? 

V=n3
1728=n3
cube root of 1728 = 12


12 cm length / 2 cm cube = 6 cubes

200

The weight of the blue whale is how many times as great as the weight of the giraffe?

Giraffe: 4 x 104 pounds

Blue Whale: 4 x 107 pounds 

1 x 103 = 1,000 times greater

200

Calculate the difference.

62 liters - 3.4x10mL

3.4x103 = 3400mL

3400mL = 3.4 liters

62 liters - 3.4 liters = 58.6 liters = 5.86x10liters

200

b) Leonte also found that the mass of Mars is 6.4x1023 kilograms. Write this number in Standard Form. 

640,000,000,000,000,000,000,000 kilograms

300

Which expression has a value of 36? Select all that apply.

a) 6-5 x 67
b) 360
c) 182
d) 6x 6-4 x 65

a) 6-5 x 67

and 

d) 6x 6-4 x 65

300

Which of the following are not rational square roots? Select all that apply. 

a) Square Root of 49 

b) Square Root of 24

c) Square Root of 169

d) Square Root of 50

Square roots that do not have a whole-number root are not rational. 

b) Square Root of 24

and 

d) Square Root of 50

300

Quantity A is how many times as great as Quantity B?

Quantity A: 4x106

Quantity B: 2x103

2x103=2000 times as great

300

c) Leonte wants to figure out how many protons make up Mars. Write the mass of a proton in kilograms in order to compare them.

mass of a proton / 1000

1.67x10-24 / 1000

1.67x10-27 kilograms 

400

d) How many protons make up Mars? 

mass of Mars / mass of proton = 

6.4x1023 kg / 1.67x10-27

3.8x1050 protons make up Mars. 

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