# Real Numbers And Algebraic Expressions Quiz! Trivia

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Wendykillebrew
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Quizzes Created: 1 | Total Attempts: 306
Questions: 10 | Attempts: 306

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• 1.

### The complex number system is divided into two groups of numbers - real and imaginary.

• A.

True

• B.

False

A. True
Explanation
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.

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• 2.

### A rational number can't be a decimal that repeats.

• A.

True

• B.

False

B. False
Explanation
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.

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• 3.

### All square roots are irrational numbers.

• A.

True

• B.

False

B. False
Explanation
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.

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• 4.

### Which is the algebraic expression for twelve less than x?

• A.

X - 12

• B.

12 - x

A. X - 12
Explanation
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.

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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

A. 6t
Explanation
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.

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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

B. The product of five and the difference of x and 4
Explanation
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.

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• 7.

### The set of positive and negative numbers are called

integers
Explanation
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.

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• 8.

### Decimals that do not stop are called ________________________

Non terminating
Explanation
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...

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• 9.

### 8 / 24 is a reduced fraction.

• A.

True

• B.

False

B. False
Explanation
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.

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• 10.

### Rational numbers are the numbers that can be written as a _______________

fraction
ratio
Explanation
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.

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• Current Version
• Mar 19, 2023
Quiz Edited by
ProProfs Editorial Team
• Aug 19, 2010
Quiz Created by
Wendykillebrew

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