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Operations with Sig Figs, Estimation, and Order of Magnitude

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

3.05 + 0.013

a)

3.063

b)

3.06

c)

3.1

d)

3

2.

432.521 + 3.50

a)

436.021

b)

436.02

c)

436.0

d)

436

3.

100 + 30.6

a)

130.6

b)

131

c)

130

d)

100

4.

340.123 - 63.02

a)

277.103

b)

277.10

c)

277.1

d)

277

5.

3.004 - 2.4802

a)

0.5238

b)

0.523

c)

0.524

d)

0.52

6.

2.40 - 0.004

a)

2.396

b)

2.39

c)

2.40

d)

2.4

7.

5.9 x 6.01

a)

35.459

b)

35.46

c)

35.5

d)

35

8.

7.8 x 5.501

a)

42.9078

b)

42.908

c)

42.91

d)

42.9

e)

42

9.

5.40 x 7.90

a)

42.66

b)

42.7

c)

43

d)

40

10.

2.1/5.1

a)

0.4118

b)

0.412

c)

0.41

d)

0.40

11.

0.9/2.3

a)

0.391

b)

0.39

c)

0.40

d)

0.4

12.

0.06x 6.28

a)

0.3768

b)

0.377

c)

0.38

d)

0.4

13.

7.15/0.10

a)

71.5

b)

72

c)

70

d)

71.50

14.

3.32 x 0.34

a)

1.1288

b)

1.129

c)

1.13

d)

1.1

15.

1.2279 + 2.444 + 3.33

a)

7.0019

b)

7.002

c)

7.00

d)

7.0

16.
Calculate 923 g ÷ 20312 cm3 and give your answer with the correct number of significant figures.
a)
0.04 g/cm3
b)
0.045 g/cm3
c)
0.0454 g/cm3
d)
0.05 g/cm3
17.
Calculate 1.23 m x 0.89 m and give your answer with the correct number of significant figures.
a)
1.0 m2
b)
1.1 m2
c)
1.0947 m2
d)
1.095 m2
18.
Calculate 7.987 m - 0.54 m and give your answer with the correct number of significant figures.
a)
7.45 m
b)
7.447 m
c)
7.4 m
d)
7.5 m
19.
Calculate 12.47 m ÷ 3.2 s and give your answer with the correct number of significant figures.
a)
4 m/s
b)
3.9 m/s
c)
3.90 m/s
d)
3.897 m/s
20.
Calculate 0.020 cm x 50 cm x 11.1 cm and give your answer with the correct number of significant figures.
a)
10 cm3
b)
11.1 cm3
c)
11 cm3
d)
11. cm3
21.
Which of the following numbers have four significant figures?
a)
56.75 g
b)
40.01 g
c)
0.6000 g
d)
all of the choices
22.
Calculate 12.34 + 1.234 + 0.1234
a)
13.6974
b)
13.697
c)
13.70
d)
13.7
23.
Calculate 12.34 × 1.234 × 0.1234
a)
1.87908
b)
1.879
c)
1.9
d)
1.8790809
24.

How many significant figures are in the number? 4.06 x 10-5 m

a)

3

b)

7

c)

5

d)

unknown

25.
Multiply (2.45 x 108) x (8.78 x 106) and express in scientific notations.
a)
2.15 x 1015
b)
2.15 x 1014
c)
2.10 x 1014
d)
2.10 x 1015
26.
Divide (7.78 x 10 ^8) / (9.67 x 10 ^-9) and express in scientific notations.
a)
8 x 10 ^16
b)
7 x 10 ^15
c)
8 x 10 ^15
d)
7 x 10 ^16
27.

Calculate the expression below and give your answer with the correct number of significant figures. Then, show it in scientific notation. (Tip: after the addition, round off following the correct number of SF. Then, convert it to scientific notation without changing the # of SF.)

 2.45×104+45.689×1042.45\times10^4+45.689\times10^4  

a)

 48.139×10448.139\times10^4  

b)

 4.814×1054.814\times10^5  

c)

 4.81×1054.81\times10^5  

d)

 48.14×10448.14\times10^4  

28.

Calculate the expression below and give your answer with the correct number of significant figures. Then, show it in scientific notation. (Tip: after the addition, round off following the correct number of SF. Then, convert it to scientific notation without changing the # of SF.)

 2.32+0.2×103+43.1×1022.32+0.2\times10^3+43.1\times10^2  

a)

 4.5×1034.5\times10^3  

b)

 45×10245\times10^2  

c)

 45.1232×10245.1232\times10^2  

d)

 4.51232×1034.51232\times10^3  

29.

State the order of magnitude of the following: 0.000656

a)

10 -4

b)

10 -3

c)

10 -2

d)

10 -1

30.

State the order of magnitude of the following: 539

a)

600

b)

500

c)

10 3

d)

10 2

31.

A pile of sand has a width that ranges from 38 m to 41 m and a length that is approximately 125 m. If the depth varies from 8.8 m to 9.1 m, what is the order of magnitude of the volume ?

a)

10 4

b)

10 3

c)

10 2

d)

10 1

32.

Solve and state the order of magnitude in SI unit:

81 nm + 96 cm + 21 pm + 148 mm

a)

10 4

b)

10 3

c)

10 2

d)

10 1

33.

Which unit of quantity presents the same value as the following fundamental units: kg m2 s-3 A-1

a)

Joule

b)

Watt

c)

Volt

d)

Ohm

34.

A number rounded to the nearest power of 10 is called:

a)

Estimation

b)

Orders of magnitude

c)

Metric multipliers

d)

Prefixes

35.

What is the prefix (metric multiplier) for x106?

a)

Giga

b)

Mega

c)

Tera

d)

Deca

36.

Which of the following is NOT a fundamental unit?

a)

second

b)

Kelvin

c)

mole

d)

Joule

37.

Which is the correct symbol of prefix of 10 -12?

a)

f

b)

p

c)

G

d)

M

38.
The diameter of a cylindrical metal rod is measured using a micrometer screw gauge. The diagram shows an enlargement of the scale on the micrometer screw gauge when taking the measurement. 
What is the cross-sectional area of the rod?
a)
3.81mm2 
b)
11.4mm2 
c)
22.8mm2 
d)
45.6mm2 
39.

The diameter of a proton (1.72 x 10-15m) is of the order of magnitude of

a)

10-12m

b)

10-15m

c)

10-18m

d)

10-21m

40.

The number of heartbeats a person at rest in one hour (4,800 times per hour), to the nearest order of magnitude is:

a)

101

b)

102

c)

103

d)

105