Properties Of Real Numbers Quiz
Test your algebraic skills with this quiz on real numbers.
- 1.
X + 9 = 9 + xis an example of which property?
- A.
Associative property of addition
- B.
Additive identity
- C.
Commutative property of addition
- D.
Additive inverse
Correct Answer
C. Commutative property of additionExplanation
The given equation x + 9 = 9 + x demonstrates the commutative property of addition. This property states that the order of the numbers being added does not affect the sum. In this case, whether we add x and 9 or 9 and x, the result will be the same.Rate this question:
-
- 2.
2( x + 3 ) = 2x + 6 is an example of which property?
- A.
Associative property of multiplication
- B.
Distributive property
- C.
Commutative property of multiplication
- D.
Multiplicative inverse property
Correct Answer
B. Distributive propertyExplanation
The given equation, 2(x + 3) = 2x + 6, demonstrates the distributive property. This property states that when a number is multiplied by the sum of two other numbers, it is the same as multiplying the number individually by each of the two numbers and then adding the products together. In this equation, the 2 is being distributed to both x and 3, resulting in 2x + 6 on the right side of the equation. Hence, the equation exemplifies the distributive property.Rate this question:
-
- 3.
X + ( y + 3 ) = x + ( 3 + y )is an example of which property?
- A.
Associative property of addition
- B.
Distributive property
- C.
Additive identity
- D.
Commutative property of addition
Correct Answer
D. Commutative property of additionExplanation
The given equation x + (y + 3) = x + (3 + y) demonstrates the commutative property of addition. This property states that the order of adding two numbers does not affect the result. In this case, the order of adding y and 3 can be interchanged without changing the overall sum.Rate this question:
-
- 4.
( 5 y ) • ( 1 ) = 5 yis an example of which property?
- A.
Multiplicative identity property
- B.
Multiplicative inverse property
- C.
Commutative property of multiplication
- D.
Associative property of multiplication
Correct Answer
A. Multiplicative identity propertyExplanation
The given expression (5y) • (1) = 5y demonstrates the multiplicative identity property. According to this property, when any number is multiplied by 1, the product is equal to the original number. In this case, when 5y is multiplied by 1, the result is 5y itself, confirming the multiplicative identity property.Rate this question:
-
- 5.
( x y ) z = x ( y z )is an example of which property?
- A.
Commutative property of multiplication
- B.
Associative property of multiplication
- C.
Distributive property
- D.
Multiplicative inverse property
Correct Answer
B. Associative property of multiplicationExplanation
The given expression (x y) z = x (y z) represents the associative property of multiplication. This property states that the grouping of numbers in a multiplication operation does not affect the result. In other words, it doesn't matter how the numbers are grouped, the product will remain the same. In this case, whether we first multiply x and y and then multiply the result by z, or if we first multiply y and z and then multiply the result by x, the final product will be the same.Rate this question:
-
- 6.
( x + 5 ) ( 7 + x ) = ( x + 5 )•( 7 )+( x + 5 )•( x ) is an example of which property?
- A.
Associative property of addition
- B.
Commutative property of multiplication
- C.
Associative property of multiplication
- D.
Distributive property
Correct Answer
D. Distributive propertyExplanation
The given expression (x + 5)(7 + x) can be simplified using the distributive property. According to the distributive property, when a number or expression is multiplied by a sum, it can be distributed to each term of the sum. In this case, we can distribute (x + 5) to both terms of (7 + x). Therefore, the expression can be written as (x + 5)(7) + (x + 5)(x), which demonstrates the distributive property.Rate this question:
-
- 7.
(y + 2) + (-y + -2) = 0is an example of which property?
- A.
Multiplicative identity property
- B.
Additive identity property
- C.
Multiplicative inverse property
- D.
Additive inverse property
Correct Answer
D. Additive inverse propertyExplanation
The given equation (y + 2) + (-y + -2) = 0 demonstrates the additive inverse property. This property states that for any number a, its additive inverse is -a, and when a number is added to its additive inverse, the result is always zero. In the given equation, (-y + -2) is the additive inverse of (y + 2), and when they are added together, the sum is zero. Therefore, the equation exemplifies the additive inverse property.Rate this question:
-
- 8.
Determine which equation illustrates the commutative property.
- A.
A + 0 = a
- B.
A + (b + c ) = (a + b) + c
- C.
A + b = b + a
- D.
A(b + c) = ab + ac
Correct Answer
C. A + b = b + aExplanation
The equation "a + b = b + a" illustrates the commutative property. This property states that the order of addition does not affect the result. In this equation, no matter the values of a and b, adding them in either order will give the same result. Therefore, it follows the commutative property.Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Sep 06, 2023Quiz Edited by
ProProfs Editorial Team -
Aug 25, 2015Quiz Created by
Sayan_mitra93
- Algebra Quizzes
- Arithmetic Quizzes
- Calculus Quizzes
- Data Handling Quizzes
- Decimal Quizzes
- Discrete Mathematics Quizzes
- Equation Quizzes
- Fraction Quizzes
- Function Quizzes
- Geometry Quizzes
- Graph Quizzes
- Measurement Quizzes
- Multiplication Quizzes
- Number Quizzes
- Percentage Quizzes
- Place Value Quizzes
- Probability Quizzes
- Problem Solving Quizzes
- Ratio Quizzes
- Shape Quizzes
- Statistics Quizzes
- Trigonometry Quizzes
Back to top