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Worksheets

Scientific Notation, Significant Figures, & Metric Conversions

Total questions: 75

Worksheet time: 2hrs 44mins

Name
Class
Date
1.

John is studying physics and he came across a number 0.00076 in his textbook. How many significant digits are there in this number?

a)

2

b)

4

c)

5

d)

6

2.

John is reading a scientific report and comes across the number 90,000.00. How many significant digits are there in this number?

a)

1

b)

2

c)

5

d)

7

3.
How many significant figures does the following number have: 0.002040
a)
6
b)
4
c)
3
d)
2
4.

Which of the following is the answer for the problem with the correct number of significant digits?

24.32 + 1.2

a)

25.6

b)

25.52

c)

25.5

d)

25

5.
Which of the following is the answer for the problem with the correct number of significant digits?
23.91 x 12.861 = 307.50651
a)
308
b)
307.51
c)
307.5
d)
307
6.

Which of the following is the answer for the problem with the correct number of significant digits?

0.0025 x 1.41

a)

0.00

b)

0.004

c)

0.00353

d)

0.0035

7.
Solve & Round to Correct Sig Figs.
4.5 + 4.32 = 
a)
8.8
b)
8.7
c)
8
d)
8.0
8.

Divide these numbers and show the correct number of significant figures

0.04263 ÷ 0.306

a)

0.139

b)

0.1393

c)

0.13931

d)

0.14

9.

How many mL are in 2.50 L?

a)

2.50L1×1000mL1L\frac{2.50L}{1}\times\frac{1000mL}{1L}

b)

2.50L1×1 mL1000L\frac{2.50L}{1}\times\frac{1\ mL}{1000L}

c)

12.50L×1L1000mL\frac{1}{2.50L}\times\frac{1L}{1000mL}

d)

2.50L1×100mL1L\frac{2.50L}{1}\times\frac{100mL}{1L}

10.

How many L are in 250.0 mL?

a)

250.0mL1×1000mL1L\frac{250.0mL}{1}\times\frac{1000mL}{1L}

b)

250.0mL1×1 L1000mL\frac{250.0mL}{1}\times\frac{1\ L}{1000mL}

c)

1250.0mL×1000mL1L\frac{1}{250.0mL}\times\frac{1000mL}{1L}

d)

250.0mL1×1L100mL\frac{250.0mL}{1}\times\frac{1L}{100mL}

11.

What is the equivalency for mL and L?

a)

1000 L = 1 mL

b)

100 mL = 1 L

c)

1000mL = 1L

d)

100 L = 1 mL

12.

What is the equivalency for cm and m?

a)

1000 cm = 1 m

b)

100 m = 1 cm

c)

1000m = 1cm

d)

100 cm = 1 m

13.

What is the equivalency for km and m?

a)

1000 km = 1 m

b)

100 m = 1 km

c)

1000m = 1km

d)

100 km = 1 m

14.

How many significant digits are in 1.0010

a)

1

b)

2

c)

4

d)

5

15.

Round 700.0 to two significant digits

a)

70

b)

700

c)

7.0

d)

7.0 x 102

16.

How many kg are in 75.00g?

a)

75.00g1×1000kg1g\frac{75.00g}{1}\times\frac{1000kg}{1g}

b)

75.00g1×1kg1000g\frac{75.00g}{1}\times\frac{1kg}{1000g}

c)

175.00g×1000g1kg\frac{1}{75.00g}\times\frac{1000g}{1kg}

d)

75.00g1×1kg100g\frac{75.00g}{1}\times\frac{1kg}{100g}

17.

How many g are in 0.320 kg?

a)

0.320kg1×1000kg1g\frac{0.320kg}{1}\times\frac{1000kg}{1g}

b)

0.320kg1×1g1000kg\frac{0.320kg}{1}\times\frac{1g}{1000kg}

c)

0.320kg1×1000g1kg\frac{0.320kg}{1}\times\frac{1000g}{1kg}

d)

0.320kg1×1 kg1000 g\frac{0.320kg}{1}\times\frac{1\ kg}{1000\ g}

18.

How many kJ are in 3500. J?

a)

3500.J1×1kJ1000J\frac{3500.J}{1}\times\frac{1kJ}{1000J}

b)

3500.J1×1000J1kJ\frac{3500.J}{1}\times\frac{1000J}{1kJ}

c)

3500.J1×1000kJ1J\frac{3500.J}{1}\times\frac{1000kJ}{1J}

d)

3500.J1×1J1000kJ\frac{3500.J}{1}\times\frac{1J}{1000kJ}

19.

Find the number of significant digits in the decimal. 5.105.10

a)

1

b)

2

c)

3

20.

Determine how many significant numbers are there in the following decimal.

20.04020.040

a)

2

b)

4

c)

5

21.

Find the number of significant digits in the decimal.

0.007800.00780

a)

6

b)

3

c)

5

22.

Round 823.012 to one significant digit.

a)

800

b)

823

c)

823.0

d)

820

e)

823.01

23.

Round 823.012 to two significant digits.

a)

800

b)

823

c)

823.0

d)

820

e)

823.01

24.

Round 823.012 to three significant digits.

a)

800

b)

823

c)

823.0

d)

820

e)

823.01

25.

Round 823.012 to four significant digits.

a)

800

b)

823

c)

823.0

d)

820

e)

823.01

26.

Find the number of significant digits in the number 4.1203

a)

4

b)

5

c)

3

27.

Round 1234.002 to two significant digits.

(a)  

28.

Round 9.6700 to two significant digits.

(a)  

29.

Which numbers have 2 significant digits?

a)

16

b)

6.3

c)

0.0022

d)

8.09

e)

0.0506

30.

Which numbers have 3 significant digits?

a)

6.3

b)

0.0500

c)

1024

d)

1.089

e)

0.477

31.

Round 64,492 to four significant digits.

(a)  

32.

Which one of the following choices is the number 0.0046753 rounded to four significant digits?

a)

0.0046

b)

0.004676

c)

0.004675

d)

0.0047

33.

How many significant digits does 8200 have?

(a)  

34.

Round 229200 to three significant digits

(a)  

35.

Round 8293 to three significant digits.

a)

8290

b)

8300

c)

8294

d)

829

36.

How many significant digits are in the number 78,000?

(a)  

37.

How many significant digits are in the number -62.9100?

(a)  

38.

Round -6271.91 to four significant digits.

a)

-6270

b)

-6271

c)

-6272

d)

-6280

39.

If the exponent on the power of 10 is a positive number...

a)

you will get a large number that is greater than 1

b)

you will get a smaller number that is less than 1

40.

Which of the following numbers is written in correct scientific notation?

a)

64.210264.2\cdot10^2  

b)

6.421036.42\cdot10^3  

c)

0.6421040.642\cdot10^4  

d)

62406240  

41.

Which of these numbers is the smallest?

a)

3.5 x107

b)

3 x108

c)

5 x107

d)

5.5 x106

42.

To compare two numbers that are in scientific notation, first compare the​ (a)   . If they are the same, then compare the​ (b)   .​

Choose from the below words
exponents
decimals
43.

Which of these numbers is the greatest?

a)

9 x 109

b)

8.1 x1010

c)

9.02 x109

d)

6.35 x1010

44.

How is the following number written in scientific notation?

450,000

a)

4.5  x  105

b)

45  x  105

c)

4.5  x  104

d)

4.5  x  106

45.

How is the number below written in 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

46.

Which of the following is the correct way to write 3.97  x  10-2 in standard form?

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

47.

Which is the correct way to write the number 3.5 x 106  in standard notation?

a)

0.0000035

b)

35,000,000

c)

3,500,000

d)

0.00000035

48.

How would you write 4.3756 x 104 in standard form?

(a)  

49.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

50.

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

(a)  

51.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
52.

Scientific Notation is made up of two number parts. The second part is a power 10.

a)

True

b)

False

53.

How do you write 8.317 x 106 in standard form?

(a)  

54.

Which of the following numbers is written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

55.

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

56.

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

57.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

58.

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

a)

a really big number.

b)

a really small number.

59.

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

a)

a really large number.

b)

a really small number.

60.

Convert this number to standard notation:


7.1 x 104

(a)  

61.

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

62.

Convert this number to standard notation:


1.4 x 10-2

(a)  

63.

Convert this number into scientific notation:


950,000

a)

9.5 x 105

b)

9.5 x 10-9

c)

9.5 x 102

d)

None of the above

64.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

65.

Which number is the least in value?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

66.

4 L = ____ mL

a)

40

b)

400

c)

4,000

d)

40,000

67.

Kim measures the length of her foot. Which measurement could be correct?

a)

19 centimeters

b)

19 millimeters

c)

19 meters

d)

19 kilometers

68.

Which of these containers COULD have a volume of 1 Liter?

a)

bathtub

b)

water bottle

c)

juice box

d)

swimming pool

69.

15 meters = ______ centimeters


What number will make the equation true?

a)

150

b)

1,500

c)

15,000

d)

15

70.

5 kg = ______ g

a)

5

b)

50

c)

500

d)

5,000

71.

Mark is filling a 2 liter bottle with water. How many mL will it take to fill the bottle?

a)

2 mL

b)

2,000 mL

c)

200 mL

d)

1,000 mL

72.

16 km = ______ m

a)

16,000

b)

160

c)

900

d)

1,600

73.

Jace weighed his cat, and she was 9 kg. How many grams does Jace's cat weigh?

a)

9

b)

900

c)

19

d)

9,000

74.

Matt measured the length of his window for new curtains. His window is 2 meters wide. How many centimeters wide is his window?

a)

2,000

b)

200,000

c)

200

d)

20

75.

QUICK! Convert this to grams: 29 kg 260 g

a)

29,260 g

b)

290,260 g

c)

29,260 kg

d)

2,926 g