WGU C784 OBJECTIVE ASSESSMENT LATEST
2026/2027 EXAM QUESTIONS AND CORRECT
DETAILED ANSWERS
Question 1
Which number system includes zero, negative numbers, and positive numbers?
A) Whole numbers
B) Natural numbers
C) Integers
D) Rational numbers
Answer: C) Integers
Rationale: Integers include all positive and negative whole numbers, including zero.
Natural numbers are positive only (1, 2, 3...), and whole numbers are non-negative (0, 1,
2, 3...). Integers are a subset of rational numbers .
Question 2
A rational number can be defined as:
A) Any number that can be placed on a number line
B) A number that can be expressed as a ratio of two integers (fraction)
C) Any non-negative number
D) A number that cannot be expressed as a fraction
Answer: B) A number that can be expressed as a ratio of two integers (fraction)
Rationale: Rational numbers can be written as a/b where a and b are integers and b ≠
0. This includes terminating and repeating decimals (e.g., 0.5, 0.333...). All integers are
rational numbers .
Question 3
,Given the set: 3.3, -2.3, -16, 25. What are the square roots of the whole number?
A) ± 2.3
B) ± 3.3
C) ± 4
D) ± 5
Answer: D) ± 5
Rationale: The whole number in the set is 25. The square roots of 25 are ±5 because 5
× 5 = 25 and (-5) × (-5) = 25 .
Question 4
A whole number is defined as:
A) Any number including negatives
B) A number whose value is 0 or greater and can be represented without a fractional or
decimal component
C) Any number that can be expressed as a fraction
D) Any number that can be placed on a number line
Answer: B) A number whose value is 0 or greater and can be represented without a
fractional or decimal component
Rationale: Whole numbers are non-negative integers: 0, 1, 2, 3, etc. They do not include
fractions, decimals, or negative numbers .
Question 5
Which property states that adding 0 to any number does not change its value?
A) Commutative property
B) Associative property
C) Identity property of addition
D) Distributive property
Answer: C) Identity property of addition
,Rationale: The identity property of addition states that a + 0 = a for any real number a.
The identity property of multiplication states a × 1 = a .
Question 6
Which of the following is NOT a real number?
A) 0
B) 1/3
C) √2
D) √(-1)
Answer: D) √(-1)
Rationale: Real numbers include all numbers that can be placed on a number line. √(-1)
is an imaginary number (i), not a real number. √2 is irrational but still real .
Question 7
The order of operations is correctly represented by:
A) Addition, Subtraction, Multiplication, Division, Parentheses, Exponents
B) Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
C) Multiplication, Division, Parentheses, Exponents, Addition, Subtraction
D) Exponents, Parentheses, Division, Multiplication, Subtraction, Addition
Answer: B) Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Rationale: PEMDAS (Parentheses, Exponents, Multiplication/Division left to right,
Addition/Subtraction left to right) defines the correct order of operations .
Question 8
What is the greatest common factor (GCF) of 132 and the square root of 121?
A) 1
B) 2
, C) 10
D) 11
Answer: D) 11
Rationale: √121 = 11. The GCF of 132 and 11 is 11 because 11 divides evenly into both
numbers (132 ÷ 11 = 12) .
Question 9
The result of multiplication is called the:
A) Sum
B) Difference
C) Product
D) Quotient
Answer: C) Product
Rationale: Addition results in a sum, subtraction in a difference, division in a quotient,
and multiplication in a product .
Question 10
An irrational number is defined as:
A) A number that can be expressed as a ratio of two integers
B) A number that cannot be expressed as a ratio of two integers
C) Any non-negative number
D) Any number that can be placed on a number line
Answer: B) A number that cannot be expressed as a ratio of two integers
Rationale: Irrational numbers cannot be expressed as a/b where a and b are integers.
Examples include π, √2, and e. Their decimal representations are non-terminating and
non-repeating .
Question 11
2026/2027 EXAM QUESTIONS AND CORRECT
DETAILED ANSWERS
Question 1
Which number system includes zero, negative numbers, and positive numbers?
A) Whole numbers
B) Natural numbers
C) Integers
D) Rational numbers
Answer: C) Integers
Rationale: Integers include all positive and negative whole numbers, including zero.
Natural numbers are positive only (1, 2, 3...), and whole numbers are non-negative (0, 1,
2, 3...). Integers are a subset of rational numbers .
Question 2
A rational number can be defined as:
A) Any number that can be placed on a number line
B) A number that can be expressed as a ratio of two integers (fraction)
C) Any non-negative number
D) A number that cannot be expressed as a fraction
Answer: B) A number that can be expressed as a ratio of two integers (fraction)
Rationale: Rational numbers can be written as a/b where a and b are integers and b ≠
0. This includes terminating and repeating decimals (e.g., 0.5, 0.333...). All integers are
rational numbers .
Question 3
,Given the set: 3.3, -2.3, -16, 25. What are the square roots of the whole number?
A) ± 2.3
B) ± 3.3
C) ± 4
D) ± 5
Answer: D) ± 5
Rationale: The whole number in the set is 25. The square roots of 25 are ±5 because 5
× 5 = 25 and (-5) × (-5) = 25 .
Question 4
A whole number is defined as:
A) Any number including negatives
B) A number whose value is 0 or greater and can be represented without a fractional or
decimal component
C) Any number that can be expressed as a fraction
D) Any number that can be placed on a number line
Answer: B) A number whose value is 0 or greater and can be represented without a
fractional or decimal component
Rationale: Whole numbers are non-negative integers: 0, 1, 2, 3, etc. They do not include
fractions, decimals, or negative numbers .
Question 5
Which property states that adding 0 to any number does not change its value?
A) Commutative property
B) Associative property
C) Identity property of addition
D) Distributive property
Answer: C) Identity property of addition
,Rationale: The identity property of addition states that a + 0 = a for any real number a.
The identity property of multiplication states a × 1 = a .
Question 6
Which of the following is NOT a real number?
A) 0
B) 1/3
C) √2
D) √(-1)
Answer: D) √(-1)
Rationale: Real numbers include all numbers that can be placed on a number line. √(-1)
is an imaginary number (i), not a real number. √2 is irrational but still real .
Question 7
The order of operations is correctly represented by:
A) Addition, Subtraction, Multiplication, Division, Parentheses, Exponents
B) Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
C) Multiplication, Division, Parentheses, Exponents, Addition, Subtraction
D) Exponents, Parentheses, Division, Multiplication, Subtraction, Addition
Answer: B) Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
Rationale: PEMDAS (Parentheses, Exponents, Multiplication/Division left to right,
Addition/Subtraction left to right) defines the correct order of operations .
Question 8
What is the greatest common factor (GCF) of 132 and the square root of 121?
A) 1
B) 2
, C) 10
D) 11
Answer: D) 11
Rationale: √121 = 11. The GCF of 132 and 11 is 11 because 11 divides evenly into both
numbers (132 ÷ 11 = 12) .
Question 9
The result of multiplication is called the:
A) Sum
B) Difference
C) Product
D) Quotient
Answer: C) Product
Rationale: Addition results in a sum, subtraction in a difference, division in a quotient,
and multiplication in a product .
Question 10
An irrational number is defined as:
A) A number that can be expressed as a ratio of two integers
B) A number that cannot be expressed as a ratio of two integers
C) Any non-negative number
D) Any number that can be placed on a number line
Answer: B) A number that cannot be expressed as a ratio of two integers
Rationale: Irrational numbers cannot be expressed as a/b where a and b are integers.
Examples include π, √2, and e. Their decimal representations are non-terminating and
non-repeating .
Question 11
