Exam 5: Number Theory and the Real Number System

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 1 } { 5 } \right) \left( \frac { 1 } { 3 } \right) \left( \frac { 1 } { 5 } \right)$

Solve the problem. -During one year 19 new employees began work at Danielʹs Manufacturing Company and 29 Employees left. At the beginning of the year there were 386 employees. What was the number of Employees at the end of the year?

Express the rational number as a terminating or repeating decimal number. - $\frac { 23 } { 6 }$

Evaluate the expression. --23 + 9

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 1 } { 7 } - \frac { 1 } { 12 }$

Provide an appropriate response. -15 is divisible by 3.

Write the fraction in lowest terms. - $\frac { 22 } { 99 }$

Decide if the number is rational or irrational. - $\sqrt { 36 }$

Evaluate the expression. -[6 ÷ (-2)](-3)

Convert the mixed number into an improper fraction. - $- 15 \frac { 2 } { 3 }$

Evaluate the expression. - $- 66 / - 3$

Determine whether or not the first number is divisible by the second number -12,803; 3

Convert the mixed number into an improper fraction. - $2 \frac { 5 } { 6 }$

Solve the problem. - Four posts are used to support a fence. Each post is 4 inches wide and the posts are evenly spaced. If the width of the fence is 158 inches, how much space is between each post?

Provide an appropriate response. -If a number is not divisible by 10, then it is not divisible by 20.

Express the terminating decimal number as a quotient of two integers. -0.0025

Decide if the number is rational or irrational. - $\frac { 15 } { 7 }$

Determine whether or not the first number is divisible by the second number -125,992; 9

Decide if the number is rational or irrational. -0.36233624...

Evaluate the expression. --10 + (-21)