Master Rational Numbers: A Comprehensive Guide for 8th Graders

Question 1

Which operation on rational numbers results in an irrational number?

Accepted Answer

Taking the square root of a rational number

Answer

Adding two rational numbers

Answer

Multiplying a rational number by an integer

Answer

Dividing a rational number by a rational number

Question 2

Find the sum of the rational numbers -1/4 and 3/8.

Accepted Answer

1/8

Answer

-1/8

Answer

0

Answer

1/4

Question 3

Express the decimal 0.35 as a fraction in its simplest form.

Accepted Answer

7/20

Answer

35/100

Answer

3/8

Answer

1/4

Question 4

Which value is equivalent to −3/5?

Accepted Answer

-0.6

Answer

0.3

Answer

-0.5

Answer

0.75

Question 5

Calculate: 5/6 - 1/2

Accepted Answer

2/3

Answer

1/3

Answer

1/6

Answer

2/6

Question 6

Calculate: 2/5 × 3/4

Accepted Answer

5/12

Answer

6/15

Answer

6/20

Answer

10/15

Question 7

Find the sum of 1/2 and 1/3.

Accepted Answer

5/6

Answer

1/6

Answer

2/3

Answer

3/5

Question 8

Which of the following represents the rational number negative three-fifths?

Accepted Answer

-3/5

Answer

-3/4

Answer

-4/5

Answer

-4/3

Question 9

Which of these is equivalent to the decimal 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

2/3

Answer

4/5

Question 10

Which of the following is NOT a property of rational numbers?

Accepted Answer

Associative property for subtraction

Answer

Closure under addition

Answer

Closure under multiplication

Answer

Commutative property for addition

Question 11

Which property of rational numbers ensures that when you add any two rational numbers, the result is also a rational number?

Accepted Answer

Closure Property

Answer

Additive Inverse Property

Answer

Distributive Property

Answer

Associative Property

Question 12

Which of the following statements about the rational number -0.5 is true?

Accepted Answer

It is less than 0.

Answer

It is greater than 0.

Answer

It is equal to 0.

Answer

It is undefined.

Question 13

Find the reciprocal of the rational number 4/5.

Accepted Answer

5/4

Answer

4/5

Answer

5/8

Answer

8/5

Question 14

Multiply the rational numbers (3/4) and (-5/6).

Accepted Answer

-5/24

Answer

5/12

Answer

15/24

Answer

-15/12

Question 15

What is the product of -3/4 multiplied by its reciprocal?

Accepted Answer

1

Answer

12/4

Answer

4/3

Answer

-12/4

Question 16

Which fraction is equivalent to 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

5/8

Answer

3/8

Question 17

Which property do rational numbers NOT have?

Accepted Answer

Commutative property under subtraction

Answer

Closure under addition

Answer

Closure under multiplication

Answer

Commutative property under addition

Question 18

What is the least common denominator of 1/2 and 1/4?

Accepted Answer

4

Answer

1

Answer

2

Answer

8

Question 19

What is the opposite of -1/2?

Accepted Answer

1/2

Answer

-1/2

Answer

2

Answer

-2

Question 20

Which of the following is not a rational number?

Accepted Answer

√2

Answer

0.5

Answer

-3/4

Answer

7

Question 21

Which of the following is NOT a characteristic of a rational number?

Accepted Answer

Is irrational

Answer

Can be expressed as a fraction of two integers

Answer

Can be represented as a decimal that terminates or repeats

Answer

Can be ordered on a number line

Question 22

Which of the following is the least common multiple (LCM) of 6 and 12?

Accepted Answer

36

Answer

2

Answer

6

Answer

12

Question 23

Which of the following expressions is equivalent to 2/3 + 1/4?

Accepted Answer

7/12

Answer

5/12

Answer

8/12

Answer

11/12

Question 24

Which of the following is a rational number?

Accepted Answer

1/3

Answer

2√

Answer

π

Answer

e

Question 25

Multiply (-2) by (3/4):

Accepted Answer

-3/2

Answer

-6/4

Answer

3/2

Answer

6/4

Question 26

Solve for x: x - 1/3 = 1/2

Accepted Answer

5/6

Answer

1/6

Answer

-5/6

Answer

-1/6

Question 27

Convert the following decimal to a fraction: 0.75

Accepted Answer

3/4

Answer

7/10

Answer

15/100

Answer

75/10

Question 28

Which of the following is the opposite of -5/8?

Accepted Answer

5/8

Answer

-5/8

Answer

8/5

Answer

-8/5

Question 29

Compare the following fractions: 1/2 and 3/4

Accepted Answer

1/2 < 3/4

Answer

1/2 > 3/4

Answer

1/2 = 3/4

Answer

Cannot be compared

Question 30

Which of the following is an example of an irrational number?

Accepted Answer

√2

Answer

1/2

Answer

0.5

Answer

3.14

Question 31

Which of the following is NOT considered a rational number?

Accepted Answer

√2

Answer

0.5

Answer

7

Answer

-3/4

Question 32

What is the result of multiplying 3/4 by -2/5?

Accepted Answer

-3/10

Answer

-10/3

Answer

10/3

Answer

3/10

Question 33

What happens to the sign of a rational number when it is multiplied by a negative number?

Accepted Answer

It changes.

Answer

It becomes undefined

Answer

It remains the same.

Question 34

Which of the following is the smallest rational number?

Accepted Answer

-∞

Answer

1

Answer

∞

Answer

0

Question 35

Which of the following is the greatest rational number?

Accepted Answer

∞

Answer

0

Answer

1

Answer

-∞

Question 36

Identify the rational number between 0 and 1.

Accepted Answer

1/2

Answer

2

Answer

-1

Answer

√3

Question 37

Which of the following is NOT a rational number?

Accepted Answer

√2

Answer

12.5

Answer

-3/4

Answer

0.5

Question 38

Simplify the fraction 12/18 to its lowest terms.

Accepted Answer

2/3

Answer

4/5

Answer

1/3

Answer

3/4

Question 39

Compare the following rational numbers clearly: -1/2 and 0.25.

Accepted Answer

-1/2 is less than 0.25

Answer

-1/2 is equal to 0.25

Answer

-1/2 is greater than 0.25

Answer

Cannot be compared

Question 40

Add the following rational numbers clearly: -3/4 + 1/2.

Accepted Answer

-1/4

Answer

5/4

Answer

1/4

Answer

-5/4

Question 41

Divide the following rational numbers clearly: (-3/4) ÷ (2/3).

Accepted Answer

-9/8

Answer

-8/9

Answer

9/8

Answer

8/9

Question 42

Which of the following is the opposite of the rational number -1/2?

Accepted Answer

1/2

Answer

2/1

Answer

0

Answer

-2/1

Question 43

Which of the following is the reciprocal of the rational number 3/4?

Accepted Answer

4/3

Answer

-4/3

Answer

-3/4

Answer

3/4

Question 44

Which of these numbers CANNOT be written as a fraction, where the numerator and denominator are both whole numbers?

Accepted Answer

√2

Answer

-3/4

Answer

1.25

Answer

0.5

Question 45

What decimal is equivalent to the fraction 3/8?

Accepted Answer

0.375

Answer

0.625

Answer

0.25

Answer

0.4

Question 46

What is the simplest form of the fraction 18/24?

Accepted Answer

3/4

Answer

2/3

Answer

9/12

Answer

6/8

Question 47

What is the sum of 2/3 and 1/4?

Accepted Answer

11/12

Answer

3/7

Answer

5/7

Answer

1/2

Question 48

What is the difference between 5/6 and 1/3?

Accepted Answer

1/2

Answer

2/3

Answer

4/9

Answer

1/3

Question 49

What is the product of 2/5 and 3/4?

Accepted Answer

3/10

Answer

1/2

Answer

6/20

Answer

5/9

Question 50

On a number line, which rational number is located to the left of -1/2?

Accepted Answer

-3/4

Answer

0

Answer

1/2

Answer

1/4

Question 51

Which fraction is equivalent to the repeating decimal 0.666...?

Accepted Answer

2/3

Answer

1/6

Answer

1/3

Answer

3/4