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adding exponents

Total questions: 76

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
What is 52 + 33?
a)
85
b)
14
c)
156
d)
52
2.
Which reads "two to the fourth power?"
a)
24
b)
42
c)
24
d)
42
3.

ONE raised to any power will always equal the EXPONENT.

a)

True

b)

False

4.

Any base with an EXPONENT of ONE will always equal the BASE.

a)

True

b)

False

5.
Rewrite the expression as a power.
 (24)(25)
a)
220
b)
49
c)
420
d)
29
6.

When multiplying numbers in scientific notation, what do you do with the exponents?

a)

Multiply them

b)

Add them

c)

Keep them the same

d)

Make them equal

7.

When dividing in scientific notation, what do you do with the exponents?

a)

Subtract them

b)

Divide them

c)

Keep them the same

d)

Make them equal

8.

When dividing in scientific notation, what do you do with the constants?

a)

Subtract them

b)

Keep them

c)

Divide them

9.

When multiplying in scientific notation, what do you do with the constants?

a)

Keep them

b)

Add them

c)

Multiply them

10.

What is the most important thing when adding and subtracting numbers in scientific notation?

a)

That the exponents are different

b)

That the constants are the same

c)

That the exponents are the same

d)

That both constants are positive

11.

When adding and subtracting in scientific notation, what do you do with the constants?

a)

Make them the same

b)

Add/subtract them

c)

Keep them

d)

Multiply/divide them

12.

True or False: A negative exponent in scientific notation means the original number was negative

a)

True

b)

False

13.

True or false: When moving the decimal, if you move left, the exponent gets bigger, and if you move right, it gets smaller.

a)

True

b)

False

14.

How many numbers can be in front of the decimal if the number is in correct scientific notation?

a)

Only a Zero

b)

One

c)

Two

d)

Any amount

15.

What is 22 x 32?

a)

54

b)

152

c)

64

d)

36

e)

25

16.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
17.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
18.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
19.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
20.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
21.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles? 
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
22.
The dimensions of an office building are 1.5 x 102 feet by 1.35 x 103 feet. What is the perimeter of the base of the building, in feet? 
a)
1.50 x 103
b)
2.85 x 10 5
c)
3.00 x 10 3
d)
5.70 x 10 5
23.
A computer's hard disk drive holds 8 x 107 bytes of information.  If Jill buys an extra memory stick that holds 3 x 106 bytes of information, how much memory will the computer hold?
a)
11 x 1013
b)
11 x 107
c)
8.3 x 1013
d)
8.3 x 107
24.
The Diplodocus dinosaur is believed to have become extinct approximately 1.38x108 years ago.  The Oviraptor is believed to have become extinct approximately 7x107 years ago.  How many years were there between the extinction of these two dinosaur types?
a)
6.8 x 108
b)
6.8 x 109
c)
68 x 108
d)
6.8 x 107
25.

The US spends an average of 1.0x104 dollars on each student per year. There are about 7.0x107 students in the US. About how much money total is spent on students per year?

a)

7.0 x 1011

b)

7.0 x 1028

c)

8.0 x 1011

d)

8.0 x 1028

26.

The distance from the sun to the Andromeda galaxy is 1.2 x 1019 miles. Light travels at a speed of 6.0 x 1012 miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

a)

2.0 x 106 years

b)

2.0 x 107 years

c)

7.06 x 1021 years

d)

7.05 x 107 years

27.

The mass of the sun is 2.00 x 1030 kilograms. The mass of the earth is 6.00 x 1024 kilograms. How many times bigger is the sun than the earth?

a)

3.33 x 105

b)

3.3 x 106

c)

1.99 x 1030

d)

1.99 x 106

28.
The population of Mathville is 5.6 x 103. The population of Algeville is 1.3 x 104. How many more people are there in Algeville?
a)
7400
b)
740
c)
7.4 x 104
d)
7.4 x 101
29.

There are approximately 3.0 x 108 people in the United States. If each person has 4.0 x 101 coins, how many coins are there altogether?

a)

1.2 x 1010

b)

1.2 x 109

c)

1.2 x 1011

d)

1.2 x 108

30.
By area, Russia is the largest country in the world. It has an area of 8.649 x 106 square miles. Canada is second with 4.797 x 106 square miles. What is the difference in area?
a)
3.852 x 106 square miles
b)
3.852 x 100 square miles
c)
1.803 x 106 square miles
d)
1.803 x 101 square miles
31.
If a computer can perform an addition operation in 1.5 x 10-6 seconds, how long will it take to perform 1500 such operations?
a)
2.25 x 10-3 seconds
b)
2.25 x 10-6 seconds
c)
2.25 seconds
d)
2.25 x 106 seconds
32.

The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 102 vibrations per second. If a pianist plays middle C for 5 x 10-1 seconds. What mathematical operation would I need to perform to calculate how many vibrations will occur?

a)

Addition

b)

Subtraction

c)

Multiply

d)

Divide

33.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles? 
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
34.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
35.

In 2013 Newcastle United's opening day payroll was about $2.16 × 108 and Chelsea's opening day payroll was about $2.4 × 107. What mathematical operation would I need to perform to calculate how much higher was Newcastle United’s payroll?

a)

add

b)

subtract

c)

multiply

d)

divide

36.

In 2010 Chelsea finished top of the league and earned 4.0 × 108 GBP. and Newcastle were in the Championship and only earned 1 × 106 GBP. What mathematical operation would I need to perform to calculate how many times more GBP Chelsea earned than Newcastle?

a)

add

b)

subtract

c)

multiply

d)

divide

37.

An airplane traveled 5.7 × 102 miles per hour for 1.4 × 101 hours. What mathematical operation would I need to perform to calculate how far the airplane travelled?

a)

add

b)

subtract

c)

multiply

d)

divide

38.

The population of Crowded Town is 4 × 106 and the population of Empty Village is 8 × 103. How many times the population of Empty Village is Crowded Town?

a)

add

b)

subtract

c)

multiply

d)

divide

39.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 106 and LA’s population was about 3.8 × 106. What is the population of these two cities combined?

a)

add

b)

subtract

c)

multiply

d)

divide

40.

Question 2

a)

A

b)

B

c)

C

d)

D

41.

Question 3

a)

4040

b)

400400

c)

4×1024\times10^2

d)

4×1054\times10^5

42.

Question 5b: Write the diameter of a grain of sand in standard notation

a)

2.4×10−32.4\times10^{-3}

b)

0.00240.0024

c)

0.0240.024

d)

24002400

43.
2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about  km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
44.
4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 1024 kg and Venus is approximately 4.9 x 1024 kg.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
45.
6. Rhode Island is the smallest state in the United States.  Its land area is about 2.9 x 1010 square feet.  Alaska, the largest state, is about 5.5 x 102 times as large as Rhode Island.  What is the land area of Alaska in square feet?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
46.
7a.  The approximate total surface area of the Earth is  5.1 x 108 km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 106 km. How much of the Earth’s surface is covered by water, including both salt and freshwater? 
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
47.
7b. The approximate total surface area of the Earth is 5.1 x 108 km. Salt water has an approximate surface area of 352,000,000 km and freshwater has an approximate surface area of 9 x 106 km. How much of the Earth’s surface is covered by land? 
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
48.

the proper way to express 34567.01 in scientific notation WITH three significant figures is...

a)

346 x 102

b)

3.45 x 104

c)

3.46 x 104

d)

350

49.

7.82 x 103 is correctly expanded to...

a)

782.

b)

782000.

c)

7820.

d)

0.00782

50.

The number 0.0069 has...

a)

2 sigfigs

b)

4 sigfigs

c)

5 sigfigs

d)

1 sigfig

51.

The number 5003.20 has ....

a)

4 sigfigs

b)

2 sigfigs, same as decimal places

c)

6 sigfigs

52.

What is the proper way to report this calculation ?

17.34 / 3.45?

a)

5.026 because the 17.34 has the most sigfigs

b)

5.03 because the 3.45 has the fewest sigfigs

c)

5.026087 because you need the most decimal places for accuracy

d)

5 because you should round the final answer to the nearest whole number

53.

0.006 has ________ significant figures (sigfigs)

a)

4

b)

3

c)

2

d)

1

54.

Michigan has an area of  9.6×1049.6\times10^4  square miles and California has an area of  1.6×1051.6\times10^5  square miles. What is the difference of the two areas?

a)

 .64×104.64\times10^4  

b)

 6.4×1046.4\times10^4  

c)

 7×1057\times10^5  

d)

 .64×105.64\times10^5  

55.

Simplify:  (6.8×10−3)+(1.2×10−2)\left(6.8\times10^{-3}\right)+\left(1.2\times10^{-2}\right)  

a)

 8.16×10−38.16\times10^{-3}  

b)

 5×1025\times10^2  

c)

 1.88×10−31.88\times10^{-3}  

d)

 1.88×10−21.88\times10^{-2}  

56.

The distance from China to Europe is  6.7×1036.7\times10^3 miles and the distance from China to America is  1.1×1041.1\times10^4  miles. What is the difference of the two distances?

a)

 4.3×1034.3\times10^3  

b)

 .43×103.43\times10^3  

c)

 .43×102.43\times10^2  

d)

 7.8×1047.8\times10^4  

57.
4.8 x 103 + 9.1 x 104 =
a)
95800
b)
9.58 x 103
c)
9.58 x 105
d)
9580
58.
A particle of dust has a mass of 7.53 x 10-10 kilograms. Find the mass of 5 billion dust particles.
a)
3.765 kg
b)
0.3765 kg
c)
37.65 kg
d)
376.5 kg
59.
There are 3.4 x 109 dust particles in 1 cubic metre. How many dust particles are there in 1200 cubic metres?
a)
4.08 x 1012
b)
4.08 x 1011
c)
4.08 x 1010
d)
4.08 x 109
60.
Scientists call the organized ways they answer questions the _________________________ .
a)
scientific method
b)
scientific explanation
c)
scientific notation
d)
scientific guesses
61.
The first step of the scientific method is to make a(n) ____________ of something in the world.
a)
observation
b)
paper airplane
c)
hypothesis
d)
conclusion
62.
Another word for prediction or educated guess is: ________________
a)
hypothesis
b)
conclusion
c)
experiment
d)
data
63.
The information you record in an experiment is called your ____________.
a)
data
b)
conclusions
c)
notebook
d)
inquiry
64.
Another word for asking questions and seeking answers in science is called:
a)
inquiry
b)
data
c)
hypothesis
d)
procedure
65.
In a well designed experiment, you should change how many variables?
a)
only one
b)
no more than two
c)
none at all
d)
as many as are needed
66.
The one variable you change is called the ___________ variable.
a)
independent
b)
dependent
c)
controlled
67.
The change that happens because of your experiment is called the ___________ variable.
a)
independent
b)
dependent
c)
controlled
68.
Everything you want to remain the same or unchanged is called are called  the ___________ variables.
a)
independent
b)
dependent
c)
controlled
69.
The final results and answers to your big question is shared in your ________________.
a)
conclusion
b)
hypothesis
c)
observation
d)
inquiry
70.
A set of step-by-step instructions is called a ______________________.
a)
procedure
b)
data
c)
inquiry
d)
hypothesis
71.

Science can change and is a continually ongoing process.

a)

True

b)

False

72.
True or False: Your hypothesis can never be wrong.
a)
True
b)
False
73.
Should experiments be repeated over and over to see if the results are the same each time?
a)
yes
b)
no
74.

Choose the correct beginning for this hypothesis.


________________, then I will be clean.

a)

I will take a shower

b)

If I take a shower

c)

Because I take a shower

d)

Since I took a shower

75.
The closest galaxy to our own is over 2,500,000 light years away.  Write this number is scientific notation.
a)
2.5 x 107
b)
.25 x 107
c)
25 x 105
d)
2.5 x 106
76.

In 2010 Chelsea finished top of the league and earned 4.0 × 108 GBP. and Newcastle were in the Championship and only earned 1 × 106 GBP. Calculate how many times more GBP Chelsea earned than Newcastle?

a)

25

b)

250

c)

40

d)

400

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