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Scientific Notation Operation

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

(8.4 * 106)/(2.1 * 103)

a)

0.4 * 104

b)

400 * 10-3

c)

4 * 103

d)

4 * 102

2.

(2 x 10-5)+ (7 x 10-5)

a)

9 x 10-10

b)

14 x 10-5

c)

9 x 10-5

d)

1.4 x 10-4

3.

(8 x 104) + (4 x 104)

a)

12 x 104

b)

1.2 x 105

c)

1.2 x 109

d)

1.2 x 108

4.

(8 x 104) - (2 x 104)

a)

16 x 1016

b)

16 x 108

c)

6 x 108

d)

6 x 104

5.

Match the process to the correct way to solve

a)

Multiplying with Scientific Notation

1.

Multiply the decimals, ADD the exponents

b)

Dividing with Scientific Notation

2.

Divide the decimals, SUBTRACT exponents

c)

Adding and Subtracting with Scientific Notation

3.

Make the exponents MATCH, +/- decimals

6.

Match the following

a)

adding scientific notation

1.

exponents must match

b)

multiplying scientific notation

2.

add the exponents

c)

dividing scientific notation

3.

subtract the exponents

d)

LARS

4.

Left, Add

Right, Subtract

e)

Scientific notation

5.

must be written between 1 and 10

7.

The table below shows the debt of the three most populous states and the three least populous states. What is the sum of the debts for the three most populous states? Express your answer in scientific notation.

a)

892 x 10^6

b)

1.02 x 10^12

c)

892 x 10^3

d)

1.02 x 10^7

8.

The table below shows the debt of the three most populous states and the three least populous states. Part A.) What is the sum of the debts for the three most populous states? Express your answer in scientific notation.

a)

1.892 x 10^6

b)

1.02 x 10^12

c)

1.892 x 10^3

d)

1.02 x 10^7

9.

(2 x 109)(4 x 10-4)

a)

8 x 1013

b)

8 x 1036

c)

8 x 105

d)

8 x 10-36

10.

(5 x 106)(5 x 107)

a)

2.5 x 1012

b)

2.5 x 1014

c)

25 x 1012

d)

25 x 1013

11.

How would you write -5.6 x 10-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

12.

(2.8 * 108) (2.2*103)

a)

6.16 * 1024

b)

5.0 * 1011

c)

6.16 * 1011

d)

61.6 * 1011

13.

Divide:
(6.9 x 107) / (2.3 x 10-3)

a)

3 x 1010

b)

3 x 104

c)

3 x 10-4

d)

3 x 10-11

14.

Multiply:
(3.4 x 105)(1.2 x 10-3)

a)

4.08 x 10-8

b)

4.8 x 102

c)

4.08 x 102

d)

4.08 x 10-15

15.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 104

c)

5 x 103

d)

.5 x 103

16.

Write 0.000972 in scientific notation.

a)

9.72 x 10-4

b)

9.72 x 10-3

c)

972 x 10-4

d)

9.72 x 104

17.

How do you write
8.317 x 106
in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

18.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

19.

Which of the following numbers is the SMALLEST?

a)

8.7 x 103

b)

3 x 104

c)

1.3 x 108

d)

9 x 102