Deck 2: Numbers From Measurements

Question 1

Which statement contains an exact number?

A) A gross of paper contains 144 sheets.
B) One sheet of paper is 0.0042 inches thick.
C) One sheet of paper measures 8.5 x 11 inches.
D) A ream of medium weight paper weighs 20 pounds.

Answer 1

A gross of paper contains 144 sheets.

Question 2

A lab technician was assigned the task of determining the density of a sample of blood plasma. The technician performed three replicate measurements of the density of the sample and reported the following results:
0.810 g/mL, 1.375 g/mL, 2.046 g/mL
The actual density of blood plasma is 1.027 g/mL. In evaluating the technician's job performance in terms of accuracy and precision, it can be said that the technician ________.

A) was neither accurate nor precise
B) was both accurate and precise
C) was accurate but not precise
D) was precise but not accurate

Answer 2

was neither accurate nor precise

Question 3

Which of the following contain three significant figures?
I. 326.0
II. 0.00310
III. 46,900
IV. 1.070
V. 0.020

A) II, III, and V
B) II and III
C) IV and V
D) I, III, and IV

Answer 3

II and III

Question 4

A lab technician was assigned the task of determining the pH of a sample of blood. The technician performed three replicate measurements of the pH of the sample and reported the following results.
PH = 6.98, pH = 6.99, pH = 6.98
The actual pH of blood is 7.40. In evaluating the technician's job performance in terms of accuracy and precision, it can be said that the technician ________.

A) was neither accurate nor precise
B) was both accurate and precise
C) was accurate but not precise
D) was precise but not accurate

Question 5

If the accepted value for the length of an object is 6.78 cm, which of the following sets of experimental results is best described as both precise and accurate?

A) 6.78 cm, 6.38 cm, 6.48 cm (average = 6.55 cm)
B) 6.79 cm, 6.78 cm, 6.77 cm (average = 6.78 cm)
C) 6.71 cm, 6.71 cm, 6.72 cm (average = 6.71 cm)
D) 6.88 cm, 6.88 cm, 6.58 cm (average = 6.78 cm)

Question 6

Which of the following sources of experimental error would properly be classified as a systematic error?

A) momentary changes in air currents within the instrument room
B) accidental miscalibration of the instrument being used
C) variances in the angle from which the instrument scale is read
D) momentary changes in the temperature of the instrument room

Question 7

Which of the following sources of experimental error can be classified as random error?

A) The balance was not properly zeroed before weighing each sample.
B) The temperature in the room is not consistent.
C) The pipet used to measure a sample was not calibrated properly.
D) None of the above

Question 8

Which measurement is consistent with a graduated cylinder which has an uncertainty of 0.1 mL?

A) 21.14 mL
B) 21 mL
C) 21.1 mL
D) 21.140 mL

Question 9

Which measuring device below is the most accurate for measuring volume?

A) a beaker calibrated in 1 milliliter units
B) a graduated cylinder calibrated in 0.5 milliliter units
C) a graduated pipet calibrated in 0.1 milliliter units
D) a buret calibrated in 0.02 milliliter units

Question 10

A balance has an accuracy of 0.001 grams. Which mass reading below was read from this balance?

A) 49.1009 g
B) 49.10 g
C) 49.10090 g
D) 49.101 g

Question 11

If you were recording the volume of liquid in the graduated cylinder depicted, what volume would you record (to the correct number of significant figures)?

A) 25.700 mL
B) 25.7 mL
C) 25 mL
D) 25.70 mL

Question 12

If you were recording the volume of liquid in the pipet depicted, what volume would you record (to the correct number of significant figures)?

A) 4.557 mL
B) 4.56 mL
C) 5 mL
D) 4.6 mL

Question 13

Which of the following statements concerning the "significance" of zeros in recorded measurements is incorrect?

A) Leading zeros are never significant.
B) Confined zeros are always significant.
C) Trailing zeros are not always significant.
D) Trailing and leading zeros are not always significant.

Question 14

Which one of the following numbers contains 4 significant figures?

A) 6.43
B) 39.4
C) 0.0257
D) 0.2570

Question 15

In which one of the following numbers are none of the zeros significant?

A) 298.010
B) 3100
C) 0.00001470
D) 2.70400

Question 16

In which of the following pairs of numbers does each member of the pair contain the same number of significant figures?

A) 39 and 3090
B) 9900.0 and 60.01
C) 0.05700 and 0.0570
D) 45010 and 0.09871

Question 17

The number 80710, when rounded off to 2 significant figures, would appear as ________.

A) 80700
B) 81000
C) 8100
D) 8070

Question 18

The number 0.090804, when rounded off to 4 significant figures, would appear as ________.

A) 0.091
B) 0.0908
C) 0.09080
D) 0.090

Question 19

Which of the following numbers contains 2 significant figures?

A) 3.741
B) 190
C) 0.02
D) 90.60

Question 20

How many of the following numbers have 4 significant figures?
19.00   0.00006   1.609 x 10⁸   13,600

A) 0
B) 1
C) 2
D) 3

Question 21

A balance has an accuracy of ±0.01 grams. A beaker weighed 15 grams when weighed on this balance. Using the correct number of significant figures, the weight of the beaker should be recorded as ________.

A) 15.000 g
B) 15 g
C) 15.0 g
D) 15.00 g

Question 22

Which of the following numbers contains 3 significant figures?

A) 1.050
B) 85.967
C) 8.90
D) 350

Question 23

What is the correct number of significant figures in the answer for the following sum?
8.650 + 19.6 + 44.05 + 88

A) 2
B) 3
C) 4
D) 5

Question 24

The calculator answer obtained from multiplying 21.08 1.9634 is 41.388472. The answer to the correct number of significant figures is ________.

A) 41.388
B) 41.4
C) 41.39
D) 41.3884

Question 25

The correct answer obtained from subtracting 1.2 from 123.96 contains ________.

A) 2 significant figures
B) 3 significant figures
C) 4 significant figures
D) 5 significant figures

Question 26

Do the following calculation. How many significant figures are justified for the answer?
5.02 + 6.119 + 0.04117

A) 4
B) 3
C) 5
D) 7

Question 27

The correct answer for the calculation



Where 126 and 135 are counted numbers and 1.364 and 0.8951 are measured numbers is ________.

A) 1.422
B) 1.4
C) 1.42
D) 1.4220

Question 28

Do the following calculation and express the answer using the correct scientific notation.

A) 6.34 x 10²¹
B) 1.58 x 10^-22
C) 6.34 x 10^-2
D) 15.8

Question 29

Perform the following addition and express the answer to the correct number of significant figures.
12.47 g + 1.026 g + 135.8 g

A) 149.296
B) 150.
C) 149.3
D) 149.30

Question 30

The numerical value for (5.6 x 10⁴) ÷ (7.89 x 10²) is equal to, with the proper number of significant figures:

A) 70.976
B) 71
C) 7.098 x 10¹
D) 71.0

Question 31

Carry out the following calculations. Express your answer to the proper number of significant figures.

A) 15174
B) 15200
C) 15000
D) 15170

Question 32

Which of the following statements is true?

A) Numbers that contain three significant figures are 1, 3, and 6.
B) Numbers in which all zeros are significant are 2, 3, 4, and 5.
C) Numbers in which none of the zeros are significant are 1 and 2.
D) Number with one significant figure is 6.

Question 33

A rubber band is found to weigh 0.0978 g. What is the total mass of 106 such identical rubber bands?

A) 10.4 g
B) 10.3 g
C) 10.0 g
D) 10 g

Question 34

Perform the following mathematical operations. Express your answer to the proper number of significant figures.
(93.789 - 5.40) x 18.057 =

A) 1600
B) 1596.239
C) 1590
D) 1596

Question 35

A student cut 1200 pieces of copper wire, each wire weighed 1.769 grams. Calculate the total mass of the pieces of copper to the correct number of significant figures.

A) 2123
B) 2100
C) 2120
D) 2122.8

Question 36

A penny weighs 1.575 g. What is the total mass of 150 pennies?

A) 236.25
B) 236.2
C) 95.24
D) 0.0105

Question 37

Water and vitamin C were added to a beaker. Calculate the mass of the beaker and its contents, and choose the answer with the appropriate number of significant figures.
146.20 g beaker + 23.1 g water + 0.34 g vitamin C =

A) 169.64 g
B) 169 g
C) 169.6 g
D) 160 g

Question 38

What mathematical operation is represented by the exponential notation of 10 - ⁴?

A) 10 x 10 x 10 x 10
B) 10 + 10 + 10 + 10
C) 1/10 x 1/10 x 1/10 x 1/10
D) 1/10 + 1/10 + 1/10 + 1/10

Question 39

The number 3009.1 expressed in scientific notation to the correct number of significant figures becomes ________.

A) 3.01 x 10³
B) 3.009 x 10⁴
C) 3.0091 x 10^-3
D) 3.0091 x 10³

Question 40

The number 0.00309 expressed in scientific notation to the correct number of significant figures becomes ________.

A) 3.090 x 10³
B) 3.09 x 10^-3
C) 3.09 x 10³
D) 3.090 x 10^-4

Question 41

The number 12.68 x 10², when expressed in correct scientific notation, becomes ________.

A) 1268 x 10⁴
B) 0.1268 x 10⁰
C) 1.268 x 10³
D) 1.268 x 10^-3

Question 42

When 0.0005760 is written in proper scientific notation with the correct number of significant figures the number is:

A) 57.60 x 10^-5
B) 5.760 x 10^-4
C) 5.760 x 10⁴
D) 5.76 x 10^-4

Question 43

What is the correct exponential term for the following mathematical operation?

A) 10^-6
B) 10²
C) 10^-2
D) 10^-4

Question 44

How many numbers will be in the coefficient when 0.0090110 is expressed in scientific notation?

A) 2
B) 3
C) 4
D) 5

Question 45

The number 1.987 x 10⁶ in normal decimal notation is ________.

A) 1,987,000
B) 198,700
C) 19,870
D) 19,870,000

Question 46

The number 9080000 written in scientific notation to the correct number of significant figures is ________.

A) 9.1 x 10⁷
B) 9.08 x 10⁷
C) 9.08 x 10⁶
D) 9.1 x 10⁶

Question 47

The number 7.134 × 10⁷ in normal decimal notation is ________.

A) 0.0000007134
B) 7,134,000
C) 713,400
D) 71,340,000

Question 48

Which one of the following mathematical expressions is not evaluated correctly?

A) 10^-3/10⁶ = 10^-9
B) 10⁸/10⁶ = 10²
C) 10^-2/10^-4 = 10²
D) 10^-3/10^-6 = 10⁹

Question 49

The correct answer obtained by dividing 4.65 x 10⁵ by 9.4 x 10^?2 together is ________.

A) 2.0 x 10^-7
B) 2.02 x 10^-7
C) 4.9 x 10⁶
D) 4.95 x 10⁶

Question 50

The correct answer obtained by dividing the measurement (6.00 x 10⁴) by the measurement (2.0 x 10²) is ________.

A) 3 x 10¹
B) 3 x 10^-2
C) 3.00 x 10²
D) 3.0 x 10²

Question 51

Perform the indicated mathematical operations and express the answer in scientific notation rounded off to the proper number of significant figures.
[2.098 x 10¹⁴ /74.5 x 10^-6] (1.0900 x 10⁴)

A) 3.07 x 10²²
B) 3.0696 x 10^-23
C) 3.1 x 10²³
D) 3.07 x 10²³

Question 52

Do the following multiplications and divisions, expressing your answers to the proper number of significant figures.
-86.40/12.095 ____________________

Question 53

Do the following multiplications and divisions, expressing your answers to the proper number of significant figures.
-(2.00 x 10²) x (2.00 x 10^-4) ____________________

Question 54

Do the following multiplications and divisions, expressing your answers to the proper number of significant figures.
-(7.0 x 10^-6) x (3.00 x 10⁴) ____________________

Question 55

Do the following multiplications and divisions, expressing your answers to the proper number of significant figures.
-(8.00 x 10⁶)/(4.00 x 10⁴) ____________________

Question 56

Do the following additions or subtractions, expressing your answers to the proper number of significant figures.
-4.63 + 7.014 − 1.200 ____________________

Question 57

Do the following additions or subtractions, expressing your answers to the proper number of significant figures.
-200 + 0.09 ____________________

Question 58

Do the following additions or subtractions, expressing your answers to the proper number of significant figures.
-3.070 − 3.050 ____________________

Question 59

Do the following additions or subtractions, expressing your answers to the proper number of significant figures.
-(6.3 x 10⁷) + (4.5 x 10³) ____________________

Question 60

A pipet is calibrated with the smallest scale markings of 0.1 milliliters. Indicate to what uncertainty readings should be recorded for measurements made with this device.

Question 61

For each of the measurements, determine the number of significant figures present. Specify your answers using the choices on the right.
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Question 62

How many significant figures are found in each of the following measurements?

Question 63

Round off each of the following numbers to 3 significant figures.
-397.48 ____________________

Question 64

Round off each of the following numbers to 3 significant figures.
-145,120 ____________________

Question 65

Round off each of the following numbers to 3 significant figures.
-0.00860 ____________________

Question 66

Round off each of the following numbers to 3 significant figures.
-1900 ____________________

Question 67

Round off the following numbers to 4 significant figures.

-398.845 ____________________

Question 68

Round off the following numbers to 4 significant figures.

-245,864 ____________________

Question 69

Round off the following numbers to 4 significant figures.

-0.00065298 ____________________

Question 70

Round off the following numbers to 4 significant figures.

-15000 ____________________

Question 71

For each of the calculator-completed calculations on the left, determine the correct number of significant figures that the answer should have. Give your response using the choices on the right.
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Question 72

Round off each of the following numbers to the number of significant figures indicated in parenthesis.
-652,387 (two) ____________________

Question 73

Round off each of the following numbers to the number of significant figures indicated in parenthesis.
-431.50 (three) ____________________

Question 74

Round off each of the following numbers to the number of significant figures indicated in parenthesis.
-0.003010 (two) ____________________

Question 75

Round off each of the following numbers to the number of significant figures indicated in parenthesis.
-0.45 (one) ____________________

Question 76

Perform the following mathematical operations and express the answers to the correct number of significant figures.
-74.632 + 23 − 1.01 = ____________________

Question 77

Perform the following mathematical operations and express the answers to the correct number of significant figures.
-[(3.9780 x 10^-2) x (1.010 x 10⁴)]/ [(3.290 x 10^-5) x (7.85 x 10²)] = ___________________

Question 78

Perform the following mathematical operations and express the answers to the correct number of significant figures.
-[(2.1 x 10^-4/6.89 x 10^-3)] - (1.59 x 10^-2) = ____________________

Question 79

Perform the following mathematical operations and express the answers to the correct number of significant figures.
-[400 x 1719]/[56.1 x 97] = ____________________

Question 80

Perform the following mathematical operations and express the answers to the correct number of significant figures.
-[10^-7 x 10⁶ x 10⁴] / [10^-5 x 10⁹] = ____________________