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Math Review - Scientific Notation, Sig Figs, Metric Conversions

Total questions: 136

Worksheet time: 3hrs 51mins

Name
Class
Date
1.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
2.
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
3.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
4.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
5.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
6.
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
7.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
8.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
9.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

10.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

11.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
12.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
13.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
14.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
15.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
16.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
17.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
18.
The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
a)
1
b)
10
c)
100
d)
1,000
19.
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
20.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
21.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
22.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
23.
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
24.
How would you write 50,000 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
25.

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

26.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
27.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
28.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
29.
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
30.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
31.

Convert the following number to Standard Notation:

2.5×1032.5\times10^3  

a)

2,500

b)

25,000

c)

2.500

d)

0.0025

32.

Express 0.000457 in scientific notation:

a)

457 x 106

b)

457 x 10-6

c)

4.57 x 104

d)

4.57 x 10-4

33.

Which of the following numbers is written in scientific notation?

a)

20.35 x 104

b)

0.2035 x 104

c)

2035 4

d)

2.035 x104

34.

Convert to scientific notation:


520,000,000

a)

52 x 107

b)

5.2 x 10-7

c)

5.2 x 108

d)

0.52 x 109

35.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

36.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

37.
(9.6×10-8)÷(2×10-15)
a)
-4.8×107
b)
4.8×107
c)
4.8×10-7
d)
-4.8×10-7
38.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
39.
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
40.

(9.4 x 106)(3.2 x 105)

a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
41.
What is 1 in scientific notation?
a)
1
b)
1 x 10-1
c)

1 x 101

d)
1 x 100
42.
Write in scientific notation: 
0.0000378 
a)
3.78 x 10-5
b)
3.78 x 10-6
c)
0.378 x 10-5
43.
Write in scientific notation: 
540,020,000
a)
5.4002 x 108
b)
5.4 x 108
c)
5.4002 x 104
44.
Write in scientific notation: 
0.0079245
a)
7.9245 x 10-3
b)
7.9245 x 10-2
c)
7.9245 x 103
45.
Solve:
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020
46.
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
47.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
48.

Convert the number 0.0000456 to scientific notation.

a)

5.46 x 10^-4

b)

4.56 x 10^-6

c)

0.000456 x 10^-3

d)

4.56 x 10^-5

49.

Express 6.72 x 10^4 in standard form.

a)

67200

b)

6720

c)

6.27 x 10^4

d)

6.720

50.

Write 3.25 x 10^7 in scientific notation.

a)

3.25 x 10^8

b)

3.25 x 10^7

c)

3.25 x 10^6

d)

3.25 x 10^5

51.

Perform the operation (5.6 x 10^3) * (2.3 x 10^2) and express the result in scientific notation.

a)

3.456 x 10^6

b)

2.8 x 10^5

c)

7.2 x 10^4

d)

1.288 x 10^6

52.

What is the result of (4.5 x 10^6) / (3.0 x 10^2) when expressed in scientific notation?

a)

3.0 x 10^4

b)

5.0 x 10^4

c)

2.5 x 10^4

d)

1.5 x 10^4

53.

Convert 9.8 x 10^5 to standard form.

a)

980,000

b)

980,000

c)

9.8 x 10^5

d)

9.8 million

54.

Calculate (2.5 x 10^4) + (3.6 x 10^3) and express the result in scientific notation.

a)

2.86 x 10^4

b)

3.6 x 10^3

c)

5.1 x 10^4

d)

2.14 x 10^4

55.

If the speed of light is 3.0 x 10^8 m/s, how far does light travel in 1.0 x 10^-6 seconds?

a)

3.0 x 10^6 meters

b)

3.0 x 10^-2 meters

c)

3.0 x 10^2 meters

d)

3.0 x 10^4 meters

56.

Express 1.2 x 10^9 in standard form.

a)

1,020,000,000

b)

12,000,000

c)

1,200,000,000

d)

1,200,000

57.

Convert the number 0.0000000678 to scientific notation.

a)

6.78 x 10^-6

b)

6.78 x 10^-7

c)

6.78 x 10^-8

d)

6.78 x 10^-9

58.
Which of the following numbers has three significant figures?
a)
1014 miles
b)
101 feet
c)
1000 yards
d)
all of the choices
59.
How many significant figures does the following number have: 0.002040
a)
6
b)
4
c)
3
d)
2
60.
How many significant figures does the following number have: 0.998005
a)
9
b)
10
c)
6
d)
5
61.
How many significant figures does the following number have: 100.00210
a)
7
b)
5
c)
10
d)
8
62.
Round 0.010229 to four significant figures
a)
1022
b)
1023
c)
0.01023
d)
0.01022
63.
What is 0.658 rounded to 1 significant figure?
a)
0
b)
0.66
c)
0.7
d)
0.658
64.
How many significant figures does the measurement in 10.0 grams have>
a)
1
b)
infinite
c)
3
d)
2
65.
How many significant figures are in the measurement 48032 m?
a)
5
b)
4
c)
3
d)
2
66.

What is the length of the object in centimeters?

a)

3.40 cm

b)

4.3 cm

c)

3.5 cm

d)

1 1/4 inches

67.

What is the volume of the liquid in this graduated cylinder?

a)

19 mL

b)

35 mL

c)

24.0 mL

d)

26.0 mL

68.

Which answer best approximates the metric temperature reading on the thermometer?

a)

82.9 F

b)

86 C

c)

30 C

d)

30.0 C

69.

Read the graduated cylinder to the appropriate precision. Which answer is most appropriate?

a)

6.3 mL

b)

6 mL

c)

6.61mL

d)

6.31 mL

70.

Which is the correct temperature for this thermometer?

a)

58.4 oC

b)

57.4 oC

c)

50.74 oC

d)

57 oC

71.

What is the length of the screw?

a)

5.0cm

b)

5.1cm

c)

5.11cm

d)

51mm

72.

What is 78.5 rounded to one significant figure?

a)

79

b)

78.5

c)

70

d)

80

73.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

74.

What is 0.658 rounded to 1 significant figure?

a)

0

b)

0.66

c)

0.7

d)

0.658

75.

What is 7.555 rounded to two significant figures?

a)

7.6

b)

7.5

c)

70

d)

76

e)

7.60

76.
Round 52689 to 3 significant figures.
a)
526
b)
527
c)
52600
d)
52700
77.
Round 0.00258954 to 4 significant figures.
a)
0.0025
b)
0.002589
c)
0.002580
d)
0.002590
78.
Round 1235 to 2 significant figures.
a)
12
b)
1200
c)
1200.
d)
1200.00
79.

Round the following value to one significant figure...


8291

a)

8000

b)

9000

c)

7000

d)

8300

80.

What is 78.5 rounded to one significant figure?

a)

79

b)

78.5

c)

70

d)

80

81.

Round 509.96 to 4 significant figures

a)

509.9

b)

509.0

c)

510.0

d)

510

82.

What is 0.658 rounded to 1 significant figure?

a)

0

b)

0.66

c)

0.7

d)

0.658

e)

1

83.

Round 509.96 to 4 significant figures

a)

509.9

b)

509.0

c)

510.0

d)

510

84.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

85.

What is 375.6523 to four significant figures?

a)

375.0

b)

375.00

c)

375.7

d)

375.6

86.

Round 1047.78 to three significant figures.

a)

104

b)

105

c)

1050

d)

1050.00

87.

Round 1099 to three significant figures.

a)

1.10 x 103

b)

101

c)

1010

d)

1,000

e)

1100

88.

What is 7.555 rounded to two significant figures?

a)

7.6

b)

7.5

c)

70

d)

76

e)

7.60

89.

Round the following value to one significant figure...


15

a)

10

b)

20

c)

100

d)

2

90.
Round 1047.78 to three sig figs
a)
104
b)
105
c)
1050
d)
1050.00
91.
Round 7256.320004 to 8 significant figures.
a)
7256.3200
b)
7256.0000
c)
72563200
d)
72560000
92.

Round the following numbers to the number indicated: 345 (2 s.f.)

(a)  

93.

Round the following numbers to the number indicated:

(a)  

94.

How many significant figures are there in the number 23

(a)  

95.

How many significant figures are there in the number 32.80

(a)  

96.

How many significant figures are there in the number 1.498

(a)  

97.

How many significant figures are there in the number 107

(a)  

98.

How many significant figures are there in the number 248.0

(a)  

99.

How many significant figures are there in the number 0.238

(a)  

100.

9.055

(a)  

101.

How many significant figures are there in the number 80.0550

(a)  

102.

How many significant figures are there in the number 76000

(a)  

103.

How many significant figures are there in the number 0.055870

(a)  

104.

Convert the following number into Scientific Notation 34,000

(a)  

105.

Convert the following number into Scientific Notation 101,000

(a)  

106.

Convert the following number into Scientific Notation 0.000088

(a)  

107.

Convert the following number into Scientific Notation 28.22

(a)  

108.

Using the conversion chart, as the units move to the left, the decimal place moves to the ____________.

a)

Right

b)

Sometimes to the right, sometimes to the left

c)

Left

d)

The decimal place doesn't change between units

109.

What is the basic unit of mass in the metric system?

a)

Liter

b)

Meter

c)

Gram

d)

Kilometer

110.
Which unit is the smallest?  
a)
km
b)
mm
c)
m
d)
cm 
111.
Convert 5 cm to mm:
a)
5,000mm
b)
0.5 mm
c)
0.05 mm
d)
50 mm
112.
Is 20 g greater than, less than, or equal to 2 kg?
a)
greater than
b)
less than
c)
equal to
113.

3.85 hg = _____ cg

a)

38,500

b)

3,850

c)

38.5

d)

0.000385

114.

270,000,000,000 pg = (a)   g

enter the number value only

115.

378 mL = (a)   kL

enter the number value only

116.

15000 J = (a)   kJ

enter the number value only

117.

900 cm ____ 9000 mm

a)

<

b)

=

c)

>

118.

The base measurement for mass is...

a)

kilogram

b)

liters

c)

grams

d)

meters

119.
240 cm = ___________ m
a)
2400
b)
24
c)
2.4
d)
0.24
120.
1000 m = ___________ km
a)
100
b)
10
c)
1
d)
0.1
121.
15.6 L = ___________ mL
a)
15,600
b)
156,000
c)
1,560,000
d)
15,600,000
122.
0.57 mL = ___________ L
a)
5.7
b)
0.057
c)
0.0057
d)
0.00057
123.
 330 cm = ___________ m
a)
3,300
b)
33
c)
3.3
d)
0.33
124.
32.9 km = ___________ cm
a)
32,900
b)
329,000
c)
3,290,000
d)
32,900,000
125.
1000 grams = _____ kilograms
a)
0.0001
b)
1,000,000
c)
10
d)
1
126.
Convert 5 cm to mm:
a)
5,000mm
b)
0.5 mm
c)
0.05 mm
d)
50 mm
127.
1000 grams = _____ kilograms
a)
0.0001
b)
1,000,000
c)
10
d)
1
128.

6 kg = _____ g

a)

6

b)

6000

c)

600

d)

.006

129.

What is the basic unit of mass in the metric system?

a)

Liter

b)

Meter

c)

Gram

d)

Kilometer

130.
Which unit is the smallest?  
a)
km
b)
mm
c)
m
d)
cm 
131.
Is 20 g greater than, less than, or equal to 2 kg?
a)
greater than
b)
less than
c)
equal to
132.

900 cm ____ 9000 mm

a)

<

b)

=

c)

>

133.

I would measure this bus in

a)

centimeters

b)

milimeters

c)

kilometers

d)

meters

134.
Which unit is a a measure of volume?
a)
meters
b)
grams
c)
inches
d)
liters
135.

Select the largest unit.

a)

kilogram

b)

centigram

c)

decigram

d)

decagram

136.

Using the conversion chart, as the units move to the left, the decimal place moves to the ____________.

a)

Right

b)

Sometimes to the right, sometimes to the left

c)

Left

d)

The decimal place doesn't change between units

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