Scientific Notation
Adding
Subtracting
Multiplying
Dividing
100

Is the following expression written in scientific notation? If not, explain why. 3.25+10-7

No, 3.25 should be multiplied by 10-7

100

Solve the expression (3.7*109) + (9.04*109)

1.274*1010

100
Solve the expression (7*105) - (5.2*104)
6.48*105
100

Solve the expression (4*10-5)*(5*1012)

2*108

100

Solve the expression (5.3*106)/(4.2*104)

1.26*102

200

The size of the Sahara Desert is about 3.629*106 square miles and the Arabian Desert is about 9*105 square miles. Which desert is larger? Explain how you know.

Sahara, because it has a larger exponent

200

Solve (4.5*104)+(1.75*104)

6.25*104

200
Solve (2*104) - (4*102)
1.96*104
200

Solve (6*103)*(2*105)

1.2*109

200
Solve (9*108)/(2*102)
4.5*106
300

The size of four oceans in square km is shown below. List the oceans from smallest to largest. Pacific Ocean: 1.796*108, Arctic Ocean: 1.323*107, Atlantic Ocean: 1.061*108, Indian Ocean: 7.498*107

Arctic, Indian, Atlantic, Pacific

300

Solve (5.4*103)+(1.2*105)

1.254*105

300
Solve (2.005*105) - (8.664*102)
1.996336*105
300

Solve (5.1*104)*(2.5*103)

1.275*108

300
Solve (3.66*10-5)/(2.0*10-3)
1.83*10-2
400

Explain what you would need to do to write 23.22 x 10in scientific notation.

You would need to add a power of 10 and write the leading number as 2.2322 x 104

400

5.9 x 105 + 2.3 x 103

Write your answer in scientific notation.

5.923 x 105

400

(4.23 x 103) – (9.56 x 102) = 

Write your answer in scientific notation.

3.27 x 103

400

(7 x 109)(4.6 x 107) = 


3.22 x 1017

400

(9.9 x 1011)/(8.9 x 108) = 

1.1 x 103

500

Why do we use scientific notation?

The purpose of scientific notation is to make the numbers and quantities used easier to comprehend, to read and to write and manipulate with operations.

500

7.5 x 103 + 5.25 x 105

Write your answer in scientific notation.

5.325 x 105

500

7.8 x 105 - 3.5 x 104

Write your answer in Scientific notation

7.45 x 105

500

(7.2 x 106)(3.5 x 10-1) = 

2.52 x 106

500

(2.5 x 108)/(2 x 103) = 

1.25 x 105