Scientific Notation
Properties of Exponents
Add + Subtract with Sci. Notation
Multiply + Divide with Sci. Notation
Roots
100

One of the lightest animals, a hummingbird, can weigh as little as 3.5 x 10-3 pounds. Convert this weight to a value in standard notation. 

0.0035

100

(a-5)2. Express answer without a negative exponent. 

1 / a10

100

(8.23 x 109) + (9.1 x 109). Write your answer in scientific notation. 

1.733 x 1010

100

Express your answer in scientific notation: (6 x 104)(9.1 x 106)

5.46 x 1011

100

Although the sun is an average distance of 9.3 x 107 miles away from the Earth, Melody puts on sunscreen to avoid getting burned on her beach vacation. Write this number in standard notation. 

93,000,000

200

Macie converted 0.000456 to 4.56 x 104. Is she correct? Why or why not?

No. The exponent should be negative. 
200

a-4 / a-7

a3

200

(7.66 x 104) - (5.4 x 104). Express your answer in scientific notation. 

2.26 x 104

200

Express your answer in scientific notation. (9 x 109) / (3 x 10-2)

3 x 1011
200

Find the cube root of 8/125. 

2/5

300

Which is greater, 3.65 x 10-8 or 3.65 x 10-7?

3.65 x 10-7

300

(33)5 x 3-12. Express answer fully simplified. 

27

300

The Atlantic Ocean covers about 4.1 x 107 square miles and the Pacific Ocean covers about 6.38 x 107 square miles. Find the total square miles covered by both oceans and express your answer in scientific notation. 

1.048 x 108

300

A humpback whale can eat 4.4 x 103 plankton a day during feeding season. If feeding season lasts 120 days, find the total number of plankton a humpback would eat. Express your answer in scientific notation. 

5.28 x 105

300

What is the square root of 144?

12 or -12

400

Shawn said that in standard notation, 7.142 x 107 will have 7 zeroes after the 2 because the exponent is 7. Is he correct? Why or why not?

No. The decimal moves 7 places, resulting in 4 zeroes. 

400

86 / 88. Express answer fully simplified. 

1/64

400

One blue whale weighed 4.2 x 105 pounds, while another weighed 2.6 x 10pounds. Find the difference in weight and express your answer in scientific notation. 

1.6 x 105

400

Express your answer in scientific notation. 0.000027 x (3.5 x 108). 

9.45 x 1013

400

Megan has a cube with a volume of 64 cubic centimeters. What is the length of one side of the cube?

4 cm

500

Which is greater, 4.87 x 109 or 9.212 x 108?

4.87 x 109

500

10-3 x (100)5. Express answer fully simplified. 

1/1000

500

Express your answer in scientific notation. (3.2 x 104) + (6.2 x 105)

6.52 x 105

500

(6.6 x 10-5) / (2 x 106

3.3 x 10-11

500

Seth's bulletin board has an area of 144 square inches. If he wants to place border around the perimeter of the bulletin board, how many inches of material will he need?

48 inches

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