Question 1

Find the least common multiple (LCM).
-60, 80, and 50

Accepted Answer

A)  240 
B)  600 
C)  400 
D)  1200 
A)  240 
B)  600 
C)  400 
D)  1200

Question 2

Write the number of inches indicated by the arrow as an improper fraction.
-

Accepted Answer

A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 5 } { 2 }$ 
C)  $\frac { 5 } { 8 }$ 
D)  $\frac { 5 } { 4 }$ 
A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 5 } { 2 }$ 
C)  $\frac { 5 } { 8 }$ 
D)  $\frac { 5 } { 4 }$

Question 3

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

Accepted Answer

A)  -19 
B)  19 
C)  -9 
D) 9 
A)  -19 
B)  19 
C)  -9 
D) 9

Question 4

Express the terminating decimal number as a quotient of two integers.
-0.48

Accepted Answer

A)  $\frac { 12 } { 25 }$ 
B)  $\frac { 24 } { 25 }$ 
C)  $\frac { 1 } { 480 }$ 
D)  $\frac { 6 } { 25 }$ 
A)  $\frac { 12 } { 25 }$ 
B)  $\frac { 24 } { 25 }$ 
C)  $\frac { 1 } { 480 }$ 
D)  $\frac { 6 } { 25 }$

Question 5

Express the terminating decimal number as a quotient of two integers.
-12.75

Accepted Answer

A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 51 } { 4 }$ 
C)  12 
D)  $\frac { 19 } { 4 }$ 
A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 51 } { 4 }$ 
C)  12 
D)  $\frac { 19 } { 4 }$

Question 6

Decide if the number is rational or irrational.
-$\frac { \sqrt { 161 } } { \sqrt { 161 } }$

Accepted Answer

A)  Irrational 
B)  Rational 
A)  Irrational 
B)  Rational

Question 7

Determine whether or not the first number is divisible by the second number
-398,763; 9

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 8

Provide an appropriate response.
-List the numbers in increasing order from left to right. $- 28,11,0 , - 32$

Accepted Answer

A)  $- 32 , - 28,0,11$ 
B)  $- 28 , - 32,0,11$ 
C)  $11,0 , - 28 , - 32$ 
D)  $0 , - 32 , - 28,11$ 
A)  $- 32 , - 28,0,11$ 
B)  $- 28 , - 32,0,11$ 
C)  $11,0 , - 28 , - 32$ 
D)  $0 , - 32 , - 28,11$

Question 9

Determine whether or not the first number is divisible by the second number
-42,020; 4

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 10

Perform the indicated operation and reduce the answer to lowest terms.
-$$\frac { 7 } { 10 } - \frac { 4 } { 5 }$$

Accepted Answer

A)  $- \frac { 3 } { 10 }$ 
B)  $- \frac { 1 } { 10 }$ 
C)  $- \frac { 11 } { 10 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $- \frac { 3 } { 10 }$ 
B)  $- \frac { 1 } { 10 }$ 
C)  $- \frac { 11 } { 10 }$ 
D)  $\frac { 1 } { 10 }$

Question 11

Find the prime factorization of the number
-1162

Accepted Answer

A)  $7 ^ { 2 } \cdot 83$ 
B)  $2 ^ { 2 } \cdot 83$ 
C)  $14 \cdot 83$ 
D)  $2 \cdot 7 \cdot 83$ 
A)  $7 ^ { 2 } \cdot 83$ 
B)  $2 ^ { 2 } \cdot 83$ 
C)  $14 \cdot 83$ 
D)  $2 \cdot 7 \cdot 83$

Question 12

Express the terminating decimal number as a quotient of two integers.
-1.57

Accepted Answer

A)  $\frac { 157 } { 50 }$ 
B)  $\frac { 157 } { 200 }$ 
C)  $\frac { 157 } { 100 }$ 
D)  $\frac { 1 } { 157 }$ 
A)  $\frac { 157 } { 50 }$ 
B)  $\frac { 157 } { 200 }$ 
C)  $\frac { 157 } { 100 }$ 
D)  $\frac { 1 } { 157 }$

Question 13

Perform the indicated operation and reduce the answer to lowest terms.
-$\frac { 1 } { 2 } + \frac { 3 } { 8 }$

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 15 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 7 } { 8 }$ 
A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 15 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 7 } { 8 }$

Question 14

Determine whether or not the first number is divisible by the second number
-1978; 2

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 15

Express the rational number as a terminating or repeating decimal number.
-$\frac { 6 } { 7 }$

Accepted Answer

A)  $0.857142$ 
B)  $0 . \overline { 857142 }$ 
C)  $0 . \overline { 85714 }$ 
D)  $0.857 \overline { 142 }$ 
A)  $0.857142$ 
B)  $0 . \overline { 857142 }$ 
C)  $0 . \overline { 85714 }$ 
D)  $0.857 \overline { 142 }$

Question 16

Convert the improper fraction into a mixed number.
-$$- \frac { 217 } { 6 }$$

Accepted Answer

A)  $- 1 \frac { 5 } { 8 }$ 
B)  $- 37 \frac { 1 } { 6 }$ 
C)  $- 36 \frac { 1 } { 6 }$ 
D)  $6 \frac { 1 } { 36 }$ 
A)  $- 1 \frac { 5 } { 8 }$ 
B)  $- 37 \frac { 1 } { 6 }$ 
C)  $- 36 \frac { 1 } { 6 }$ 
D)  $6 \frac { 1 } { 36 }$

Question 17

Solve the problem.
-Georgeʹs sandbox requires 25 cubic feet of sand to fill. How many bags of sand does he need to fill The sandbox if each bag holds $\frac { 2 } { 3 }$ Cubic feet of sand?

Accepted Answer

A)  16 bags 
B)  17 bags 
C)  38 bags 
D)  37 bags 
A)  16 bags 
B)  17 bags 
C)  38 bags 
D)  37 bags

Question 18

Decide if the number is rational or irrational.
-$- \sqrt { 134 }$

Accepted Answer

A)  Irrational 
B)  Rational 
A)  Irrational 
B)  Rational

Question 19

Express the rational number as a terminating or repeating decimal number.
-$\frac { 8 } { 25 }$

Accepted Answer

A)  $0.32$ 
B)  $0.032$ 
C)  $0.16$ 
D)  $3.2$ 
A)  $0.32$ 
B)  $0.032$ 
C)  $0.16$ 
D)  $3.2$

Question 20

Express the terminating decimal number as a quotient of two integers.
-0.025

Accepted Answer

A)  $\frac { 1 } { 80 }$ 
B)  $\frac { 1 } { 20 }$ 
C)  $\frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 40 }$ 
A)  $\frac { 1 } { 80 }$ 
B)  $\frac { 1 } { 20 }$ 
C)  $\frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 40 }$

Find the least common multiple (LCM). -60, 80, and 50

Write the number of inches indicated by the arrow as an improper fraction. - $Write the number of inches indicated by the arrow as an improper fraction. -$

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

Express the terminating decimal number as a quotient of two integers. -0.48

Express the terminating decimal number as a quotient of two integers. -12.75

Decide if the number is rational or irrational. - $\frac { \sqrt { 161 } } { \sqrt { 161 } }$

Determine whether or not the first number is divisible by the second number -398,763; 9

Provide an appropriate response. -List the numbers in increasing order from left to right. $- 28,11,0 , - 32$

Determine whether or not the first number is divisible by the second number -42,020; 4

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 7 } { 10 } - \frac { 4 } { 5 }$

Find the prime factorization of the number -1162

Express the terminating decimal number as a quotient of two integers. -1.57

Perform the indicated operation and reduce the answer to lowest terms. - $\frac { 1 } { 2 } + \frac { 3 } { 8 }$

Determine whether or not the first number is divisible by the second number -1978; 2

Express the rational number as a terminating or repeating decimal number. - $\frac { 6 } { 7 }$

Convert the improper fraction into a mixed number. - $- \frac { 217 } { 6 }$

Solve the problem. -Georgeʹs sandbox requires 25 cubic feet of sand to fill. How many bags of sand does he need to fill The sandbox if each bag holds $\frac { 2 } { 3 }$ Cubic feet of sand?

Decide if the number is rational or irrational. - $- \sqrt { 134 }$

Express the rational number as a terminating or repeating decimal number. - $\frac { 8 } { 25 }$

Express the terminating decimal number as a quotient of two integers. -0.025

Critical Thinking Skills

Sets

Logic

Systems of Numeration

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Exam 5: Number Theory and the Real Number System