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Scientific Notation and Unit Conversions Review

Total questions: 91

Worksheet time: 2hrs 1mins

Name
Class
Date
1.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
2.
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
3.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
4.
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
5.
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
6.
Which of the following is correct scientific notation?
a)

20.35 x 103

b)
.2035 x 104
c)
2035 4
d)
2.035 x104
7.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
8.
Express the following in scientific notation:
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
9.
Express the following in scientific notation:
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
10.
Convert to scientific notation:
520,000,000  
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
11.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
12.
Convert to standard notation:
3.05 x 105 
a)
305,000
b)
305
c)
3,050,000
d)
30,500
13.
UNDERSTANDING
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
14.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
15.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
16.
The diameter of the planet Mercury is 4.87 x 103 kilometers. The diameter of the planet Venus is 1.21 x 104 kilometers. The diameter of Earth is 1.28 x 104  kilometers. The diameter of Mars is 6.79 x 103 kilometers. Which planet has the smallest diameter?
a)
Mercury
b)
Earth
c)
Venus
d)
Mars
17.
Write 46.3 x 104 in scientific notation.
a)
It is in scientific notation.
b)
.463 x 106
c)
4.63 x 105
d)
4.63 x 104
18.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
19.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
20.
Which number is correctly written in scientific notation?
a)
3.2867 x 10-7
b)
21.8689 x 10-4
c)
0.1537 x 105
21.
Which number is correctly written in scientific notation?
a)
10.4 x 103
b)
9.99 x 106
c)
143.002 x 10-4
22.

Round 509.967 g to 4 significant figures.

a)

509.9 g

b)

509.0 g

c)

510.0 g

d)

  1. 510. g

23.

How many significant figures are in the number 4.56 x 103 m?

a)

5

b)

4

c)

6

d)

3

24.

Write 1.26 x 103 in standard or expanded form.

a)

1260

b)

126

c)

126.0

d)

12.6

25.

Write 5,795,000 in scientific notation

a)

5.795 x 103

b)

5.795 x 104

c)

57.95 x 105

d)

5.759 x 106

26.

Convert 5.89 x 10-4 to standard or expanded form.

a)

0.00589

b)

0.000589

c)

58900

d)

58.900

27.

Calculate and report 0.0005 meters + 0.029 meters to the correct number of significant figures?

a)

0.0295 meters

b)

0.300 meters

c)

0.030 meters

d)

0.029 meters

28.

Calculate and report 9544 lbs - 321 lbs to the correct number of significant figures?

a)

9000 lbs

b)

9220 lbs

c)

9223 lbs

d)

9862 lbs

29.

Calculate and report 5000 g ÷ 870 mL to the correct number of significant figures ?

a)

5.74 g/mL

b)

6 g/mL

c)

5.7 g/mL

d)

5 g/mL

30.

Calculate and report 2.4m x 550m to the correct number of significant figures?

a)

1300 m

b)

1300 m^2

c)

1000 m^2

d)

1320.0 m

31.

Convert 67,400,000 to proper scientific notation.

a)

6.74 x 107

b)

67.4 x 106

c)

6.74 x 10-7

d)

674 x 105

32.

Convert 0.000044 to proper scientific notation.

a)

4.4 x 105

b)

44 x 104

c)

44 x 10-4

d)

4.4 x 10-5

33.

Multiply and report to the correct number of significant figures:

(3.4 x 105 cm)(1.2 x 10-3cm)

a)

4.1 x 10-8 cm2

b)

4.08 x 102cm

c)

4.1 x 102cm2

d)

4.1 x 10-15cm2

34.

Divide and report to the correct number of significant figures:

(6.9 x 107 m2 / (2.3 x 10-3m)

a)

3.0 x 1010m

b)

3 x 1010m3

c)

3 x 10-4m

d)

3 x 10-21m

35.

Calculate 5.50 cm + 5.50 cm and give your answer with the appropriate number of significant figures.

a)

11 cm

b)

11.0 cm

c)

11.00 cm

d)

11.000 cm

36.
Calculate 1.23 m x 0.89 m and give your answer with the appropriate number of significant figures.
a)
1.0 m2
b)
1.1 m2
c)
1.0947 m2
d)
1.09 m2
37.

How many significant figures are there in 240,000 g?

a)

4

b)

6

c)

3

d)

2

38.

How many significant figures are there in 0.1024574?

a)

1

b)

6

c)

7

d)

8

e)

0

39.

How many significant figures are in there in 1.0027 m?

a)

2

b)

3

c)

4

d)

5

40.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
41.

What is the maximum number of significant figures in 2000 g?

a)

1

b)

2

c)

3

d)

4

42.
Express the following quantities in scientific notation:  5800 m
a)
5.8 x 103 m
b)
58.00 x 103 m
c)
5800 x 101 m
d)
5.8 x 104 m
43.

What is 0.000328 g rounded to 1 significant figure?

a)

0 g

b)

0.0003 g

c)

0.00033 g

d)

0.000328 g

44.

How many significant figures does the following number have: 0.002040 m

a)

6 m

b)

4 m

c)

3 m

d)

2 m

45.

When using scientific notation, a negative exponent means ...

a)

the standard number is greater than one

b)

the standard number is less than one

c)

the negative sign doesn't have a meaning

d)

None of the above

46.

When using scientific notation, a positive exponent means ...

a)

the standard number is greater than one

b)

the standard number is less than one

c)

the negative sign doesn't have a meaning

d)

None of the above

47.

Convert this number into scientific notation: 0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

48.

What is the correct answer to: 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm =

a)

26.281 cm

b)

26.28 cm

c)

26.2 cm

d)

26.3 cm

49.

What is the correct answer for: 1.31 cm x 2.3 cm

a)

3.013 cm2

b)

3.01 cm

c)

3.02 cm2

d)

3.0 cm2

e)

3.0 cm

50.

What is the correct answer for: 20.2 cm ÷ 7.41 s

a)

2.726045884 cm/s

b)

2.72604 cm/s

c)

2.73 cm/s

d)

2.7 cm/s

e)

2.73

51.

Convert 40 L to mL

a)

.400 mL

b)

400 mL

c)

40,000 mL

d)

.4 mL

52.

Convert .500 g to dg

a)

5 dg

b)

.0005 dg

c)

50 dg

d)

.005 dg

53.

Convert .340 g to cg

a)

340 cg

b)

34 cg

c)

3.4 cg

d)

.034 cg

54.

Convert 560,000 L to kL

a)

5,600,000 kL

b)

5600 kL

c)

560 kL

d)

56000 kL

55.

Convert .78 g to mg

a)

780 mg

b)

78 mg

c)

7.8 mg

d)

.078 mg

56.

Convert 367,000,000 g to kg

a)

367,000 kg

b)

3,670,000 kg

c)

36,700,000 kg

d)

3.67 x 1093.67\ x\ 10^9 kg

57.
3 km = ___________ mm
a)
30
b)
300
c)
3,000
d)
3,000,000
58.

I want to convert 70mL to cups.


Conversion Factors:

30mL = 1oz

8oz = 1cup


How many cups will I have?


Use a calculator.

a)

.89 cups

b)

.49 cups

c)

.29 cups

d)

1 cup

59.

13 km + 20 m = _________ m

a)
13 20
b)
1320
c)
13,020
d)
13,200
60.
___ m = 400 cm
a)
4
b)
40
c)
400
d)
4000
61.
1 km = ___ m
a)
1
b)
10
c)
100
d)
1000
62.
1 m = ___ cm
a)
1
b)
10
c)
100
d)
1000
63.
1 kg = ___ g
a)
1
b)
10
c)
100
d)
1000
64.

2.5 km = ______ m

a)

25 m

b)

2500 m

c)

25000 m

d)

250 m

65.

I have 0.48 groobles. How many swarps? (There are 12 swarps in a grooble.)

a)

0.25 groobles

b)

39 groobles

c)

0.04 groobles

d)

5.76 groobles

66.

There are 8 fwoops in a berg. How many fwoops in 9 bergs?

a)

72 fwoops

b)

98 fwoops

c)

9/8 fwoops

d)

8/9 fwoops

67.

There are 5 opes in a wiggle. How many wiggles are in 15 opes?

a)

1/3 opes

b)

5 opes

c)

3 opes

d)

12 opes

68.

I have 98 botts. If there are 10 botts in a flop, how many flops do I have?

a)

9.8 flops

b)

980 flops

c)

10 flops

d)

9.8 flops

69.

There are 2 blahs in a swarp. How many blahs are in 4.5 swarps?

a)

2.25 swarps

b)

7 blahs

c)

2.25 blahs

d)

9 blahs

70.

What numbers make this relationship correct?

_____ L = _____ mL

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

71.

What numbers make this relationship correct?

_____ g = _____ kg

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

72.

What numbers make this relationship correct?

_____ kL = _____ L

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

73.

What numbers make this relationship correct?

_____ mm = _____ m

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

74.

What numbers make this relationship correct?

_____ m = _____ mm

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

75.

What numbers make this relationship correct?

_____ m = _____ cm

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

76.

What numbers make this relationship correct?

_____ cg = _____ g

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

77.

What numbers make this relationship correct?

_____ g = _____ cg

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

78.

What numbers make this relationship correct?

_____ cL = _____ L

a)

1000....1

b)

100...1

c)

1...100

d)

1.... 1000

79.
How many millimeters are in a centimeter?
a)
10
b)
100
c)
1000
d)
0.001
80.
What does kilo mean?
a)
thousand
b)
hundred
c)
ten
d)
ten thousand
81.
What would be the best units to use to measure the mass of an automobile?
a)
grams
b)
kilograms
c)
milligrams
d)
centigrams
82.
What is the SI unit for temperature?
a)
Celsius
b)
Fahrenheit
c)
liter
d)
thermometer
83.
What is the SI base unit for volume?
a)
gram
b)
meter
c)
liter
d)
foot
84.
Which lists metric units, in order, from smallest to largest?
a)
milligram, centigram, gram
b)
kilogram, gram, centigram
c)
decagram, hectogram, milligram
d)
kilogram, hectogram, decagram
85.
Which is most likely the length of a student’s textbook?
a)
30 centimeters
b)
30 millimeters
c)
30 hectometers
d)
30 meters
86.

If your scientific notation number has 4 sigfigs, how many should be in your standard notation number?

a)

4

b)

It depends on where I round

c)

  1. 2. One number to the left and one to the right of the decimal.

d)

3

87.

The Atlantic-Pacific rule states if a decimal point is absent,

a)

the zeros on the Pacific (left) side are insignificant

b)

the zeros on the Atlantic (right) side are insignificant

88.

The Atlantic-Pacific rule states if a decimal point is present,

a)

the zeros on the Pacific (left) side are insignificant

b)

the zeros on the Atlantic (right) side are insignificant

89.

When adding/subtracting, the result should have the same amount of decimal places as the number with the ____ amount of decimal places.

a)

least

b)

most

90.

What is the sum with the correct number of decimal places?

37.712 + 40.82 = ?

a)

78.5

b)

78.53

c)

78.532

91.

When multiplying/dividing, the result should have the same number of significant digits as the number with the ____ amount of significant digits.

a)

least

b)

most

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