Exam 1: Arithmetic, Calculators, and Problem Solving

Which of the fractions $\frac { 16 } { 40 } , \frac { 4 } { 10 } , \frac { 4 } { 25 } , \frac { 8 } { 20 }$ does not reduce to $\frac { 2 } { 5 }$ ?

A student pays $311 rent each month. How much money does she spend on rent in 2 years?

Write the following number in expanded form: 4,009,007

Write the following number in decimal form. $5 \cdot 10 ^ { 4 } + 7 \cdot 10 + 5 + 4 \cdot 10 ^ { - 1 }$

Change 1,002 to base twelve.

Convert the fraction to a decimal. $\frac { 3 } { 4 }$

A family has an annual income of $47,840. Assume that a work week is 40 hours. How much is their hourly income?

Round the following decimal to the nearest whole number. $32.867$

Find the following difference, and reduce to lowest terms. $\frac { 9 } { 8 } - \frac { 6 } { 8 }$

Translate the word statement to a numerical statement. Nine times the difference of 6 and 4

Change the mixed number to an improper fraction. $7 \frac { 2 } { 7 }$

Find the prime factorization for the following number. If a factor is repeated, write it with exponents. 165

Simplify the numerical expression. Remember that fractions are not considered simplified unless they are reduced. $\left( \frac { 7 } { 10 } + \frac { 2 } { 5 } \right) \left( \frac { 1 } { 9 } + \frac { 2 } { 3 } \right)$

Round the following decimal to three decimal places. $1,907.69375$

A car with a tank that holds 20 gallons of gasoline goes 42 miles on one gallon. How far can the car go on a full tank?

Write the following number in scientific notation. $7,000,000$

Change the improper fraction to a mixed number. $\frac { 29 } { 9 }$

Suppose you have three quarters, four nickels, and two pennies. Use base five to write a numeral to indicate your financial status.

Change the mixed number to a decimal fraction. $41 \frac { 8 } { 9 }$ If the answer is a repeating decimal, enter the overbar for the repeating part.

Write the following number in expanded form: 4,009,007