Exam 5: Number Theory and the Real Number System

Solve the problem. -In a certain location, the highest temperature recorded was 101°F. The lowest temperature Recorded was 138 degrees less than the highest. What was the lowest temperature?

Provide an appropriate response. -The difference of any two positive integer is a positive integer.

Evaluate the expression. - $( - 675 ) \div 75$

Determine whether or not the first number is divisible by the second number -15,416; 8

Provide an appropriate response. -3 is a factor of 6.

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 4 } { 7 } \right) \left( - \frac { 2 } { 3 } \right)$

Decide if the number is rational or irrational. - $- \sqrt { 289 }$

Decide if the number is rational or irrational. - $\sqrt { 91 }$

Evaluate the expression. -9 - 14

Determine whether or not the first number is divisible by the second number -394,091; 4

Find the prime factorization of the number -45

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 1 } { 6 } + \frac { 1 } { 12 }$

Evaluate the expression. --7 - (-3)

Solve. -At Northwest High School, there are 1472 students in the Junior Class and 1012 students in the Senior Class. To let the juniors work with more experienced students, the teachers want to assign The students to committees with the same number of juniors in each committee and the same Number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every Committee). What is the largest number of committees that can be formed?

Evaluate the expression. -(-3)(9)(-5)

Find the prime factorization of the number -90

Perform the operation and give the answer as a fraction in lowest terms. - $\frac { 4 } { 3 } \div \left( - \frac { 1 } { 2 } \div \frac { 1 } { 5 } \right)$

Convert the improper fraction into a mixed number. - $\frac { 79 } { 52 }$

Decide if the number is rational or irrational. - $\sqrt { 151 }$

Convert the mixed number into an improper fraction. - $- 2 \frac { 5 } { 7 }$