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Test: Rational Numbers- 1


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10 Questions MCQ Test Mathematics (Maths) Class 8 | Test: Rational Numbers- 1

Test: Rational Numbers- 1 for Class 8 2022 is part of Mathematics (Maths) Class 8 preparation. The Test: Rational Numbers- 1 questions and answers have been prepared according to the Class 8 exam syllabus.The Test: Rational Numbers- 1 MCQs are made for Class 8 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Rational Numbers- 1 below.
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Test: Rational Numbers- 1 - Question 1

Find the reciprocal of -2.

Detailed Solution for Test: Rational Numbers- 1 - Question 1

Reciprocal means interchanging numerator and denominator here it's-2/1 understand after reciprocal denominator came upside so, it will be -1/2 

Test: Rational Numbers- 1 - Question 2

Which of the following is the reciprocal of the reciprocal of a rational number?

Detailed Solution for Test: Rational Numbers- 1 - Question 2

The reciprocal of the reciprocal of a rational number is the number itself.
For example, Consider the rational no. 1/2. It's reciprocal is 2 and the reciprocal of 2 is 1/2. Therefore, it's the number itself.

Test: Rational Numbers- 1 - Question 3

What is the additive inverse of -2/3?

Detailed Solution for Test: Rational Numbers- 1 - Question 3

Additive inverse of a number is the number who when added to initial number sums up to zero.

If x is a negative number, then its additive inverse is equal and opposite in sign to it. This means that the additive inverse of a negative number is positive.

Hence, additive inverse of -2/3 is 2/3

So option C is the correct answer. 

Test: Rational Numbers- 1 - Question 4

Find the multiplicative inverse of -13.

Detailed Solution for Test: Rational Numbers- 1 - Question 4

In order to  find the multiplicative inverse of  the given number, find the reciprocal of that number.
Here the given number is -13
So the reciprocal of -13 will be -1/13

Therefore, option C is the correct answer. 

 

Test: Rational Numbers- 1 - Question 5

Which of the following is the reciprocal of a rational number?

Detailed Solution for Test: Rational Numbers- 1 - Question 5

1 and -1 are the only rational numbers which are their own reciprocals.

No other rational number is its own reciprocal. We know that there is no rational number which when multiplied with 0, gives 1. Therefore, rational number 0 has no reciprocal or multiplicative inverse.

Test: Rational Numbers- 1 - Question 6

Which of the following statements is true?

Detailed Solution for Test: Rational Numbers- 1 - Question 6

Every rational number is not a fraction.
In rational numbers, we use integers and in fractions, we use only natural numbers.

Test: Rational Numbers- 1 - Question 7

For any three rational numbers a, b and c, a + (b + c) = __________.

Detailed Solution for Test: Rational Numbers- 1 - Question 7

It is the associative property and we know that the rational numbers are associative under addition.
 For eg: 5/3 + (3/2 + 1/3) = 7/2;
  (5/3 + 3/2) + 1/3 = 7/2
Here, Option 'a' is the correct answer.

Therefore, a+(b+c) = (a+b)+c

Test: Rational Numbers- 1 - Question 8

Which of the following is the Multiplicative identity for rational numbers?

Detailed Solution for Test: Rational Numbers- 1 - Question 8

The rational number 1 is the multiplicative identity for rational numbers because on multiplying any rational number with 1, we get the same number.

Test: Rational Numbers- 1 - Question 9

Which of the following is the product of (-7/8) and 4/21?

Detailed Solution for Test: Rational Numbers- 1 - Question 9

-7 / 8 x 4 / 21 = - 1 / 6 

So option A is the correct answer. 

Test: Rational Numbers- 1 - Question 10

Which of the following is the identity element under addition?

Detailed Solution for Test: Rational Numbers- 1 - Question 10

The correct option is C 0
0 is the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a.

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