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Scientific Notation Game

Total questions: 39

Worksheet time: 42mins

Name
Class
Date
1.

The half-life of Uranium is 2.5 x 105 years. What is this in standard form?

a)

2500000

b)

250

c)

25000

d)

250000

2.

Write 4.83 x 10-6 in Standard Form.

a)

0.00048300

b)

0.00004830

c)

0.00000483

d)

0.00000438

3.

(3 x 107)(3.1 x 10-4)

a)

9.3 x 10-28

b)

9.3 x 103

c)

6.1 x 103

d)

6.1 x 10-28

4.
a)

2.1 x 106

b)

2.1 x 10-6

c)

9.9 x 106

d)

9.9 x 10-6

5.

The thickness of a human hair can be about 6 x 10-3 centimeters. Which shows this thickness in standard form?

a)

6000 cm

b)

0.06 cm

c)

0.006 cm

d)

0.0006 cm

6.

There are approximately 3.1 x 108 people in the United States. If on average each person has 4.1 x 101 coins lying around on dressers, in pockets, in cars, etc., how many total coins do all the people in the U.S. have?

a)

127.1 x 108

b)

12.71 x 109

c)

1.271 x 1010

d)

.1271 x 1011

7.

There are approximately 3.61 x105 babies born every day. How many babies are born in 30 days? Choose all that are correct.

a)

10830000

b)

10.83 x 106

c)

1.083 x 107

d)

.1083 x 108

8.

The mantissa can equal 1.

a)

True

b)

False

9.

The matissa can equal 10

a)

True

b)

False

10.

Tommy has $10 and Jamal has $30. Jamal has ____ times more than Tommy. Using the operation ____ with 30 and 10 we get an answer of 3.

a)

3; division

b)

3; multiplication

c)

20; division

d)

20; multiplication

11.

Convert the following number to scientific notation: .000457

a)

457 x 106

b)

457 x 10-6

c)

4.57 x104

d)

4.57 x 10-4

12.
True or False:  The following is written in scientific notation:  13.5 x 108
a)
TRUE 
b)
 FALSE
13.

7⋅10−37\cdot10^{-3}

7 is called the

a)

Mantissa

b)

Base

c)

Exponent/Charicteristic

d)

Power

14.

7⋅10−37\cdot10^{-3}

10 is called the

a)

Mantissa

b)

Base

c)

Exponent/Charicteristic

d)

Power

15.

7⋅10−37\cdot10^{-3}

-3 is called the

a)

Mantissa

b)

Base

c)

Exponent/Charicteristic

d)

Power

16.

What number is correctly put into scientific notation?

a)

71⋅10−571\cdot10^{-5}

b)

5.2⋅1065.2\cdot10^6

c)

0.1⋅1050.1\cdot10^5

d)

2⋅632\cdot6^3

17.

Which of the following is scientific notation?

a)

10⋅10810\cdot10^8

b)

4⋅102.3 4\cdot10^{2.3\ }

c)

7.2⋅10−107.2\cdot10^{-10}

d)

8⋅748\cdot7^4

18.

Which of the following is closest to .0078?

a)

8⋅10−28\cdot10^{-2}

b)

8⋅10−38\cdot10^{-3}

c)

8⋅1038\cdot10^3

d)

8⋅1028\cdot10^2

19.

There are 331,000,000 people in the U.S.

Where is the decimal in 331,000,000?

a)

After the 6th zero

b)

There is not decimal

20.

There are 331,000,000 people in the U.S.

How many times would the decimal need to be moved so that the mantissa is between 1 and 10 in the number 331,000,000?

a)

0

b)

6

c)

8

d)

9

21.

There are 331,000,000 people in the U.S.

If that number were written in scientific notation, what would be the mantissa?

a)

331

b)

33.1

c)

3.31

d)

.331

22.

During the first year of operation a company produced 2.8⋅1072.8\cdot10^7 packages of paper. During the second year, they produced 1.6 times that amount. To determine how many packages of paper they produced in the second year, what operation needs to be done?

a)

Division

b)

Multiplication

c)

Subtraction

d)

Addition

23.

During the first year of operation a company produced 2.8⋅1072.8\cdot10^7 packages of paper. During the second year, they produced 1.6 times that amount. What is the most logical step to determine how many packages of paper were produced in year 2?

a)

Multiply 2.8 by 1.6

b)

Divide 2.8 by 1.6

c)

Multiply 1.6 and 2.8 by 10710^7

d)

Divide 10710^7 by 1.6 then 2.8

24.

Jayson Tatum makes about 4⋅1074\cdot10^7 dollars in annual income from his employer plus what he makes in endorsements. Vincent gets 5⋅1025\cdot10^2 dollars as an annual allowance. If we are trying to find how many times more money Tatum earns than Vicent, what operation is necessary?


a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

25.

Jayson Tatum makes about 4⋅1074\cdot10^7 dollars in annual income from his employer plus what he makes in endorsements. Vincent gets 5⋅1025\cdot10^2 dollars as an annual allowance. If we are trying to find how much more Tatum makes than Vincent, what operation is required?


a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

26.

Jayson Tatum makes about 4⋅1074\cdot10^7 dollars in annual income from his employer plus what he makes in endorsements. Vincent gets 5⋅1025\cdot10^2 dollars as an annual allowance. What is a logical process for finding how many times more Tatum makes than Vincent? Select all that apply.


a)

4 ÷54\ \div5

b)

5÷45\div4

c)

107102\frac{10^7}{10^2}

d)

102107\frac{10^2}{10^7}

27.

Find the product and write it in scientific notation.

3⋅1073\cdot10^7 d 5⋅1025\cdot10^2


a)

15⋅10915\cdot10^9

b)

15⋅101415\cdot10^{14}

c)

1.5⋅1091.5\cdot10^9

d)

1.5⋅10101.5\cdot10^{10}

28.

Find the product and write it in scientific notation.

3⋅10−73\cdot10^{-7} d 5⋅1025\cdot10^2


a)

15⋅10−515\cdot10^{-5}

b)

15⋅10−1415\cdot10^{-14}

c)

1.5⋅10−41.5\cdot10^{-4}

d)

1.5⋅10−61.5\cdot10^{-6}

29.

Find the product and write it in scientific notation.

5⋅1075\cdot10^7 d 2⋅10−22\cdot10^{-2}


a)

10⋅10−510\cdot10^{-5}

b)

1⋅10−51\cdot10^{-5}

c)

10⋅10510\cdot10^5

d)

1⋅1061\cdot10^6

30.

Find the quotient and write it in scientific notation.

8⋅1072⋅102\frac{8\cdot10^7}{2\cdot10^2}


a)

1.6⋅10−51.6\cdot10^{-5}

b)

4⋅1054\cdot10^5

c)

1.6⋅1061.6\cdot10^6

d)

1.6⋅1051.6\cdot10^5

31.

Find the quotient and write it in scientific notation.

8⋅1072⋅10−2\frac{8\cdot10^7}{2\cdot10^{-2}}


a)

1.6⋅10−51.6\cdot10^{-5}

b)

4⋅1054\cdot10^5

c)

1.6⋅1061.6\cdot10^6

d)

1.6⋅1051.6\cdot10^5

e)

4⋅1094\cdot10^9

32.

Find the quotient and write it in scientific notation.

3⋅1076⋅102\frac{3\cdot10^7}{6\cdot10^2}


a)

.5⋅105.5\cdot10^5

b)

5⋅1055\cdot10^5

c)

5⋅1065\cdot10^6

d)

5⋅1045\cdot10^4

e)

2⋅1052\cdot10^5

33.

Find the quotient and write it in scientific notation.

3⋅1076⋅10−2\frac{3\cdot10^7}{6\cdot10^{-2}}


a)

.5⋅109.5\cdot10^9

b)

5⋅1085\cdot10^8

c)

5⋅1095\cdot10^9

d)

2⋅1092\cdot10^9

e)

2⋅1052\cdot10^5

34.

3−(−1)3-\left(-1\right)

a)

2

b)

4

c)

-2

d)

-4

35.

−3−(−1)-3-\left(-1\right)

a)

2

b)

4

c)

-2

d)

-4

36.

−3−1-3-1

a)

2

b)

4

c)

-2

d)

-4

37.

What is an equivalent expression to

34⋅323^4\cdot3^2

a)

969^6

b)

363^6

c)

383^8

d)

989^8

38.

What is an equivalent expression to

3−4⋅3−23^{-4}\cdot3^{-2}

a)

9−69^{-6}

b)

3−63^{-6}

c)

383^8

d)

989^8

39.

What is an equivalent expression to

85⋅8−78^5\cdot8^{-7}

Select all that apply.

a)

8−28^{-2}

b)

8−128^{-12}

c)

182\frac{1}{8^2}

d)

1812\frac{1}{8^{12}}

e)

164\frac{1}{64}