Exam 6: The Real Numbers and Their Representations

Use the graph of population change per year for a metro area to answer the question. -In which year did the population of the metro area decrease the most?

Select the smaller of the two given numbers. - $12 , | - 13 |$

908 is what percent of 1645?

Solve the problem. -Find the total cost of 3.9 pounds of apples at $0.19 per pound, 1.3 pounds of fish at $0.19 per pound, and 4.4 pounds of sugar at $0.19 per pound.

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 4 } { 9 } \right) - \left( - \frac { 5 } { 8 } \right)$

Write a fraction in lowest terms that represents the portion of the figure that is shaded. -

Find the square root correct to the thousandths place. - $\sqrt { 3.24 }$

Solve the problem. -To obtain a certain shade of paint, Peter mixed $1 \frac { 2 } { 3 }$ gallons of white paint with $1 \frac { 3 } { 4 }$ gallons of browl and 10 gallons of blue paint. How much paint did he have?

Simplify and evaluate using a calculator. - $\sqrt { \frac { 7 } { 3 } }$

Perform the indicated operation. --21 + (-3)

Solve the problem. -The approximate speed of a car in miles per hour (MPH)can be found in terms of the engine's revolutions per minute (rpm), the tire diameter in inches, and the overall gear ratio by the formula $\mathrm { MPH } = \frac { \text { rpm } \times \text { tire diameter } } { \text { gear ratio } \times 336 } .$ If a car has an rpm of 5300, a tire diameter of 26 inches, and a gear ratio of 3.22, what is its Approximate speed in miles per hour?

Find the rational number halfway between the two given rational numbers. - $- 6 , - \frac { 3 } { 2 }$

$\text { Write the continued fraction in the form } \frac { p } { q } \text { reduced to lowest terms. }$ - $1 + \frac { 1 } { 4 + \frac { 1 } { 1 + \frac { 1 } { 2 } } }$

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $\frac { 53 } { 3 }$

$\text { Write the continued fraction in the form } \frac { p } { q } \text { reduced to lowest terms. }$ - $1 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 4 } } }$

Write as a percent. - $\frac { 1 } { 8 }$

Perform the indicated operations. - $- 6 \cdot ( 4 ) ^ { 2 }$

Perform the indicated operation. -(6 + 7)- (-9 + 13)

Find the power of i. - $\mathrm { i } ^ { 22 }$

If the number given is a mixed number, convert it to a fraction. If the number is given as a fraction, convert it to a mixed number. - $9 \frac { 1 } { 4 }$