Real Numbers And Algebraic Expressions Quiz! Trivia
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Questions and Answers
- 1.
The complex number system is divided into two groups of numbers - real and imaginary.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The statement is true because the complex number system consists of two types of numbers - real numbers and imaginary numbers. Real numbers are the ones that can be represented on the number line and include integers, fractions, and decimals. Imaginary numbers, on the other hand, involve the square root of negative numbers and are denoted by the letter "i". Therefore, the complex number system is indeed divided into two groups - real and imaginary numbers.Rate this question:
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- 2.
A rational number can't be a decimal that repeats.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
This statement is false. A rational number can indeed be a decimal that repeats. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. Many fractions, when expressed as decimals, result in repeating decimals. For example, 1/3 is equal to 0.3333..., where the digit 3 repeats indefinitely. Therefore, a repeating decimal can be a rational number.Rate this question:
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- 3.
All square roots are irrational numbers.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The statement "All square roots are irrational numbers" is false. While it is true that some square roots, such as √2 or √3, are irrational, there are also square roots that are rational. For example, the square root of 4 is 2, which is a rational number. Therefore, not all square roots are irrational.Rate this question:
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- 4.
Which is the algebraic expression for twelve less than x?
- A.
X - 12
- B.
12 - x
Correct Answer
A. X - 12Explanation
The algebraic expression for "twelve less than x" is x - 12. This is because when we subtract 12 from x, we are taking away 12 from the value of x.Rate this question:
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- 5.
What is the algebraic expression for the product of 6 and t?
- A.
6t
- B.
6/t
- C.
6 - t
- D.
T - 6
Correct Answer
A. 6tExplanation
The algebraic expression for the product of 6 and t is 6t. This is because when we multiply 6 and t, we get the result 6t.Rate this question:
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- 6.
Which statement below describes this equation? 5(x - 4)
- A.
Five times x minus 4
- B.
The product of five and the difference of x and 4
- C.
Five x less than 4
Correct Answer
B. The product of five and the difference of x and 4Explanation
The equation 5(x - 4) represents the product of five and the difference of x and 4. This can be understood by breaking down the equation: 5 multiplied by (x - 4). The term (x - 4) represents the difference between x and 4, and multiplying it by 5 gives the product of five and the difference of x and 4.Rate this question:
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- 7.
The set of positive and negative numbers are called
Correct Answer
integersExplanation
The set of positive and negative numbers is called integers. Integers include all whole numbers, both positive and negative, as well as zero. They are used to represent quantities that can be increased or decreased, such as temperatures, bank balances, or distances. Integers are a fundamental concept in mathematics and have various applications in everyday life and various fields of study, including algebra, number theory, and computer science.Rate this question:
- 8.
Decimals that do not stop are called ________________________
Correct Answer
Non terminatingExplanation
Decimals that do not stop and continue infinitely are called non-terminating decimals. These decimals cannot be expressed as a fraction with a finite number of digits in the denominator. Instead, they have a recurring pattern of digits that repeats indefinitely. Examples of non-terminating decimals include 0.333..., 0.666..., and 0.142857...Rate this question:
- 9.
8 / 24 is a reduced fraction.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The given statement is false. A reduced fraction is a fraction in which the numerator and denominator have no common factors other than 1. In the given fraction 8/24, both 8 and 24 can be divided by 8 to get 1/3, which is a reduced fraction. Therefore, the statement is incorrect.Rate this question:
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- 10.
Rational numbers are the numbers that can be written as a _______________
Correct Answer
fraction
ratioExplanation
Rational numbers are a type of number that can be expressed as a fraction or a ratio. This means that they can be written as a quotient of two integers, where the numerator and denominator are both whole numbers. For example, 1/2, 3/4, and 5/6 are all rational numbers because they can be written as fractions. The term "fraction" refers to a numerical quantity expressed in the form of one integer divided by another, while "ratio" refers to the comparison of two quantities by division.Rate this question:
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Current Version
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Mar 19, 2023Quiz Edited by
ProProfs Editorial Team -
Aug 19, 2010Quiz Created by
Wendykillebrew
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