Question 1

Decide whether the statement is believable, given the precision with which it is stated.
-There are 503,324,152 flowers in the botanical gardens.

Accepted Answer

A) Believable 
B) Not believable at that precision 
A) Believable 
B) Not believable at that precision

Question 2

Write the number in ordinary notation.
-$8 \times 10 ^ { 3 }$

Accepted Answer

A) 8000 
B) 800 
C) 80,000 
D) 800,000 
A) 8000 
B) 800 
C) 80,000 
D) 800,000

Question 3

Answer the question.
-Find the scale ratio for a map if 4 centimeters on the map represents 10 kilometers on the ground.

Accepted Answer

A) 1 : 250,000 
B) 1 : 2500 
C) 1 : 25,000 
D) 1 : 1,000,000 
A) 1 : 250,000 
B) 1 : 2500 
C) 1 : 25,000 
D) 1 : 1,000,000

Question 4

Answer the question.
-In 2000 your salary increased by 15% . In 2001 you received a 15% pay cut. After the two changes, how does your salary compare to your original salary?

Accepted Answer

A) It is higher. 
B) Cannot be determined from the information given 
C) It is unchanged. 
D) It is lower. 
A) It is higher. 
B) Cannot be determined from the information given 
C) It is unchanged. 
D) It is lower.

Question 5

Round to the indicated place value.
-Round to the nearest ten thousandth: 14.58578

Accepted Answer

A) 14.5858 
B) 14.5857 
C) 14.586 
D) 14.59 
A) 14.5858 
B) 14.5857 
C) 14.586 
D) 14.59

Question 6

Solve the problem.
-Suppose the current cost of gasoline is $3.28 per gallon. Find the current price index using the 1995 price as the reference value. In 1995, the cost of gasoline was 120.5 cents per gallon.

Accepted Answer

A) 36.7 
B) 2.7 
C) 272.2 
D) 207.5 
A) 36.7 
B) 2.7 
C) 272.2 
D) 207.5

Question 7

Round to the indicated place value.
-Round to the nearest hundredth: 0.354

Accepted Answer

A) 0.34 
B) 0.36 
C) 0.4 
D) 0.35 
A) 0.34 
B) 0.36 
C) 0.4 
D) 0.35

Question 8

Determine whether the source of error represents random or systematic error.
-A government census fails to include homeless people.

Accepted Answer

A) Random error 
B) Systematic error 
A) Random error 
B) Systematic error

Question 9

Restate the fact as indicated.
-In a given year, the U.S.annual energy consumption is roughl $1 \times 10 ^ { 20 } \text { Joules }$ Express this as energy consumption per person per second. Assume that the U.S. population during this year is Roughly 280 million. .

Accepted Answer

A)  680,000 Joules per person per second 
B)  $190.3$ Joules per person per second 
C)  $11,324.9$ Joules per person per second 
D)  $3.6 \times 10 ^ { 11 }$ Joules per person per second 
A)  680,000 Joules per person per second 
B)  $190.3$ Joules per person per second 
C)  $11,324.9$ Joules per person per second 
D)  $3.6 \times 10 ^ { 11 }$ Joules per person per second

Question 10

Solve for the percentage in the problem. Round to the nearest tenth of a percent.
-% of 47 clients is 459 clients.

Accepted Answer

A) 0.1 
B) 976.6 
C) 97.7 
D) 1.0 
A) 0.1 
B) 976.6 
C) 97.7 
D) 1.0

Question 11

Determine whether the statement makes sense. If the statement is possible then it makes sense. If it is clearly impossible,it does not make sense.
-Last year the total amount spent by Americans on food was about $10 ^ { 11 }$ dollars.

Accepted Answer

A) True 
 B)False

Question 12

Carry out the indicated operation and give your answer with the specified number of significant digits.
-$\left( 8.6 \times 10 ^ { 4 } \right) \div \left( 1.4 \times 10 ^ { - 4 } \right) ; 2$ significant digits

Accepted Answer

A)  $6.1 \times 10 ^ { 0 }$ 
B)  $6.14 \times 10 ^ { 8 }$ 
C)  $6 \times 10 ^ { 8 }$ 
D)  $6.1 \times 10 ^ { 8 }$ 
A)  $6.1 \times 10 ^ { 0 }$ 
B)  $6.14 \times 10 ^ { 8 }$ 
C)  $6 \times 10 ^ { 8 }$ 
D)  $6.1 \times 10 ^ { 8 }$

Question 13

Determine which of the numbers below is a possible order of magnitude estimate of the quantity described.
-The total number of steps an adult would take in walking from New York to San Francisco.

Accepted Answer

A) One billion 
B) One hundred million 
C) One million 
D) Ten million 
A) One billion 
B) One hundred million 
C) One million 
D) Ten million

Question 14

Decide whether the statement is believable, given the precision with which it is stated.
-A mountain's peak is 25,700 feet above sea level.

Accepted Answer

A) Not believable at that precision 
B) Believable 
A) Not believable at that precision 
B) Believable

Question 15

Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assumethat the first quantity is the compared value and the second quantity is the reference value. Round answers to the nearesttenth if necessary.
-In a certain country, the life expectancy for men is 70.2 years while the life expectancy for women is 76.6 years.

Accepted Answer

A) Absolute difference: -6.4 years 
B) Absolute difference: -6.4 years Relative difference: -8.4% Relative difference: -0.8% 
C) Absolute difference: 6.4 years 
D) Absolute difference: -6.4 years Relative difference: 9.1% Relative difference: -9.1% 
A) Absolute difference: -6.4 years 
B) Absolute difference: -6.4 years Relative difference: -8.4% Relative difference: -0.8% 
C) Absolute difference: 6.4 years 
D) Absolute difference: -6.4 years Relative difference: 9.1% Relative difference: -9.1%

Question 16

Determine by what factor the numbers differ. In other words, determine how many times larger the first number is thanthe second.
-$10 ^ { 48 } , 10 ^ { 16 }$

Accepted Answer

A)  $10 ^ { 32 }$ 
B)  32 
C)  $10 ^ { 3 }$ 
D)  $10 ^ { 48 } - 10 ^ { 16 }$ 
A)  $10 ^ { 32 }$ 
B)  32 
C)  $10 ^ { 3 }$ 
D)  $10 ^ { 48 } - 10 ^ { 16 }$

Question 17

Solve for the percentage in the problem. Round to the nearest tenth of a percent.
-941 employees is \% of 729 employees.

Accepted Answer

A)  $1.3$ 
B)  $129.1$ 
C)  $0.1$ 
D)  $77.5$ 
A)  $1.3$ 
B)  $129.1$ 
C)  $0.1$ 
D)  $77.5$

Question 18

Restate the fact as indicated.
-The speed of light is approximately 5,866,000,000,000 miles per year. Express this speed in miles per second.

Accepted Answer

A) 4,460,000 miles per second 
B) 3100.2 miles per second 
C) 186,009.6 miles per second 
D) 11,160,578.4 miles per second 
A) 4,460,000 miles per second 
B) 3100.2 miles per second 
C) 186,009.6 miles per second 
D) 11,160,578.4 miles per second

Question 19

Use scientific notation to solve the problem.
-If the speed of light is $3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { sec }$, how long does it take light to travel $2.29 \times 10 ^ { 11 } \mathrm {~m}$, the distance from the sun to Mars?

Accepted Answer

A)  $76 \mathrm { sec }$ 
B)  $7.6 \times 10 ^ { 2 } \mathrm { sec }$ 
C)  $7.6 \times 10 ^ { 2 } \mathrm {~min}$ 
D)  $7.6 \times 10 ^ { 3 } \mathrm { sec }$ 
A)  $76 \mathrm { sec }$ 
B)  $7.6 \times 10 ^ { 2 } \mathrm { sec }$ 
C)  $7.6 \times 10 ^ { 2 } \mathrm {~min}$ 
D)  $7.6 \times 10 ^ { 3 } \mathrm { sec }$

Question 20

Write the number in ordinary notation.
-$6.234 \times 10 ^ { 7 }$

Accepted Answer

A) 623,400,000 
B) 62,340,000 
C) 436.38 
D) 6,234,000 
A) 623,400,000 
B) 62,340,000 
C) 436.38 
D) 6,234,000

Decide whether the statement is believable, given the precision with which it is stated. -There are 503,324,152 flowers in the botanical gardens.

Write the number in ordinary notation. - $8 \times 10 ^ { 3 }$

Answer the question. -Find the scale ratio for a map if 4 centimeters on the map represents 10 kilometers on the ground.

Answer the question. -In 2000 your salary increased by 15% . In 2001 you received a 15% pay cut. After the two changes, how does your salary compare to your original salary?

Round to the indicated place value. -Round to the nearest ten thousandth: 14.58578

Solve the problem. -Suppose the current cost of gasoline is $3.28 per gallon. Find the current price index using the 1995 price as the reference value. In 1995, the cost of gasoline was 120.5 cents per gallon.

Round to the indicated place value. -Round to the nearest hundredth: 0.354

Determine whether the source of error represents random or systematic error. -A government census fails to include homeless people.

Restate the fact as indicated. -In a given year, the U.S.annual energy consumption is roughl $1 \times 10 ^ { 20 } \text { Joules }$ Express this as energy consumption per person per second. Assume that the U.S. population during this year is Roughly 280 million. .

Solve for the percentage in the problem. Round to the nearest tenth of a percent. -% of 47 clients is 459 clients.

Determine whether the statement makes sense. If the statement is possible then it makes sense. If it is clearly impossible,it does not make sense. -Last year the total amount spent by Americans on food was about $10 ^ { 11 }$ dollars.

Carry out the indicated operation and give your answer with the specified number of significant digits. - $\left( 8.6 \times 10 ^ { 4 } \right) \div \left( 1.4 \times 10 ^ { - 4 } \right) ; 2$ significant digits

Determine which of the numbers below is a possible order of magnitude estimate of the quantity described. -The total number of steps an adult would take in walking from New York to San Francisco.

Decide whether the statement is believable, given the precision with which it is stated. -A mountain's peak is 25,700 feet above sea level.

Determine by what factor the numbers differ. In other words, determine how many times larger the first number is thanthe second. - $10 ^ { 48 } , 10 ^ { 16 }$

Solve for the percentage in the problem. Round to the nearest tenth of a percent. -941 employees is \% of 729 employees.

Restate the fact as indicated. -The speed of light is approximately 5,866,000,000,000 miles per year. Express this speed in miles per second.

Use scientific notation to solve the problem. -If the speed of light is $3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { sec }$ , how long does it take light to travel $2.29 \times 10 ^ { 11 } \mathrm {~m}$ , the distance from the sun to Mars?

Write the number in ordinary notation. - $6.234 \times 10 ^ { 7 }$

Thinking Critically

Approaches to Problem Solving

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 3: Numbers in the Real World