The Real Number System
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What is the sum of 25 and its opposite?
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-50
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0
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25
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50
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The 'Real Number System' quiz assesses understanding of basic algebraic properties and number operations. It covers the associative, distributive, and commutative properties, rational numbers, and basic arithmetic, enhancing foundational math skills relevant for academic progress.
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- 2.
Which of the following is NOT a rational number?
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-(30/6)
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63/5
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9.8
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3.456789120
Correct Answer
A. 3.456789120Explanation
Irrational numbers cannot be written as fractions, are not repeating or terminating decimals.Rate this question:
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- 3.
Simplify:
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10
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23
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50
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54
Correct Answer
A. 23Explanation
According to the Order of Operations, perform the operations with the parenthesis first, next evaluate the power (exponents), multiply and divide from left to right (direction in which reading is done). Last add and/or subtract from left to right.Rate this question:
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- 4.
Name the property that is applied in this problem: (72 + 5) + 16 = 72 + ( 5 + 16)
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Commutative Property
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Associative Property
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Distributive Property
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Additive Identity
Correct Answer
A. Associative PropertyExplanation
The Commutative Property deals with the order in which numbers are added or multiplied. The Associative Property deals with the grouping of numbers when adding or multiplying. The Distributive Property involves 2 operations, one of which must be multiplication the other operation can be addition or subtraction. The Additive identity states that when zero (0) is added to a number, the results is the original number.Rate this question:
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- 5.
What property is shown in this problem: 5(2 + 15) = (5)(2) + (5)(15)?
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Commutative Property
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Associative Property
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Distributive Property
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Multiplicative identity
Correct Answer
A. Distributive PropertyExplanation
The two operations present are multiplication and addition. The Distributive Property is the only property of real numbers that involves two mathematical operations.Rate this question:
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- 6.
What property is illustrated by: (35)(45) = 1575 (45)(35) = 1575
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Commutative Property
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Associative Property
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Distributive Property
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Additive Identity
Correct Answer
A. Commutative PropertyExplanation
The order in which the two numbers is different, therefore the commutative property is illustrated.Rate this question:
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- 7.
Simplify:
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468
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234
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0
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-234
Correct Answer
A. 234Explanation
The absolute value is the distance that a number is from zero (0) on the number line. Distance is always thought of as positive, therefore the absolute value of a number is always positive.Rate this question:
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- 8.
Simplify: -
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45
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-45
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0
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90
Correct Answer
A. -45Explanation
Read as the opposite of the absolute value of 45, the answer is -45. Remember that the opposite of any positive number is negative.Rate this question:
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- 9.
What is the reciprocal of -3/2?
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3/2
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2/3
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-2/3
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6
Correct Answer
A. -2/3Explanation
Turn the fraction upside down and keep the sign.Rate this question:
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- 10.
The product of a number and its reciprocal always equals one
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True
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False
Correct Answer
A. TrueExplanation
The product of a number and its reciprocal always equals one because the reciprocal of a number is the number that, when multiplied by the original number, gives a product of 1. This is a fundamental property of reciprocals, where any non-zero number multiplied by its reciprocal will result in the multiplicative identity, which is 1. Therefore, the statement is true.Rate this question:
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Current Version
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Feb 13, 2024Quiz Edited by
ProProfs Editorial Team -
Sep 15, 2013Quiz Created by
Harrisritac