Class 7 Exam  >  Class 7 Notes  >  Mathematics (Maths) Class 7  >  Worksheet Question & Answers : Rational Numbers

Rational Numbers Class 7 Worksheet Maths Chapter 1

Q1: True or False
(a) Every natural number is a rational number but every rational number needs not be a natural number

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

(b) Zero is a rational number.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

(c) Every rational number is a whole number.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: False

(d) Two rational numbers with difference numerators can't be equal.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: False

(e) Every fraction is a rational number.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

(f) Sum of two rational numbers is always a rational number.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

(g) The rational numberRational Numbers Class 7 Worksheet Maths Chapter 1lies to the right of zero on the number line.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: False

(h) Every natural number is a rational number but every rational number need not be a natural number.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

(i) 2/4 is equivalent to 4/8

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

(j) The rational numbers Rational Numbers Class 7 Worksheet Maths Chapter 1 and Rational Numbers Class 7 Worksheet Maths Chapter 1 are on the opposite sides of zero on the number line

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: True

Q2: Fill in the Blanks
(a) A rational number p /q is said to be in the lowest form if p and q have no __________.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: common factor

(b) The rational number Rational Numbers Class 7 Worksheet Maths Chapter 1 Lies to the ____________ of zero on the number line.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: right

(c) If p/q is a rational number, then q can't be ___________.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: 0

(d) Two rational numbers with different numerators are equal, if their numerators are in the same ______________ as their denominators.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: ratio

(e) Two rational numbers are equal if they have the same __________ form.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: simple

(f) A rational number p/q is negative if p & q are of __________ sign.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: oppossite

(g) If the product of two non-zero rational number is 1, then they are ______________ of each other.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: reciprocal

(h) Between any two distinct rational numbers there are ___________ rational numbers.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: infinite

(i) Additive inverse of 2/3 is ______.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Rational Numbers Class 7 Worksheet Maths Chapter 1

(j) The reciprocal of ______ does not exist.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: zero

Q3: By what number should we multiplyRational Numbers Class 7 Worksheet Maths Chapter 1so that the product may be 24.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Rational Numbers Class 7 Worksheet Maths Chapter 1

Q4: What should be subtracted fromRational Numbers Class 7 Worksheet Maths Chapter 1so as to get 5/9?

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Rational Numbers Class 7 Worksheet Maths Chapter 1

Q5: SubtractRational Numbers Class 7 Worksheet Maths Chapter 1fromRational Numbers Class 7 Worksheet Maths Chapter 1

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Rational Numbers Class 7 Worksheet Maths Chapter 1

Q6: The cost ofRational Numbers Class 7 Worksheet Maths Chapter 1meters of cloth is Rs.Rational Numbers Class 7 Worksheet Maths Chapter 1find the cost of one meter cloth.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Rational Numbers Class 7 Worksheet Maths Chapter 1Rational Numbers Class 7 Worksheet Maths Chapter 1Rational Numbers Class 7 Worksheet Maths Chapter 1

Q7: Simplify Rational Numbers Class 7 Worksheet Maths Chapter 1

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: 

Rational Numbers Class 7 Worksheet Maths Chapter 1

Q8: A stairway consists of 14 stairs, eachRational Numbers Class 7 Worksheet Maths Chapter 1cm high. What is the vertical height of the stairways ?

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Rational Numbers Class 7 Worksheet Maths Chapter 1

Q9: Arrange the rational numbersRational Numbers Class 7 Worksheet Maths Chapter 1in the ascending order.

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: Converting them into same denominator by using LCM
Rational Numbers Class 7 Worksheet Maths Chapter 1
So Ascending order will be
Rational Numbers Class 7 Worksheet Maths Chapter 1

Q10: Which of the following rational numbers is equal to its reciprocal?
(a) 1
(b) 2
(c) 1/2
(d) 0

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: (a)

Q11: Which is greater number in the following:
(a) Rational Numbers Class 7 Worksheet Maths Chapter 1
(b) 0
(c) 1/5
(d) -5

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: (c)

Q12: Which is lowest number in the following:
(a) Rational Numbers Class 7 Worksheet Maths Chapter 1
(b) 0
(c) 1/2
(d) -2

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: (d)

Q13: Match the Column
Rational Numbers Class 7 Worksheet Maths Chapter 1
(a) a → ii , b → iii , c → iv , d → i
(b) b → ii , a → iii , c → iv , d → i
(c) a → ii , b → iii , c → i , d → iv
(d) a → i , b → iii , c → iv , d → ii

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: (a)Rational Numbers Class 7 Worksheet Maths Chapter 1

Q14: To reduce a rational number to its standard form, we divide its numerator and denominator by their
(a) LCM
(b) HCF
(c) product
(d) multiple

Rational Numbers Class 7 Worksheet Maths Chapter 1  View Answer

Ans: (b)

The document Rational Numbers Class 7 Worksheet Maths Chapter 1 is a part of the Class 7 Course Mathematics (Maths) Class 7.
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FAQs on Rational Numbers Class 7 Worksheet Maths Chapter 1

1. What are rational numbers and how are they defined?
Ans. Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. This means that any number in the form of a/b, where a and b are integers and b ≠ 0, is a rational number.
2. Can you provide examples of rational numbers?
Ans. Yes, examples of rational numbers include 1/2, -3, 4.75 (which is 19/4), and 0 (which can be expressed as 0/1). All of these can be written as a fraction of two integers.
3. How do you convert a decimal to a rational number?
Ans. To convert a decimal to a rational number, you can express the decimal as a fraction. For example, 0.75 can be written as 75/100, which simplifies to 3/4. For repeating decimals, like 0.333..., you can set it equal to x, multiply by 10, and solve for x to find that it equals 1/3.
4. Are all integers rational numbers?
Ans. Yes, all integers are considered rational numbers because any integer can be expressed as a fraction with a denominator of 1. For example, the integer 5 can be written as 5/1, which fits the definition of a rational number.
5. How do you add and subtract rational numbers?
Ans. To add or subtract rational numbers, you need a common denominator. For example, to add 1/4 and 1/6, find the least common denominator, which is 12. Convert each fraction: 1/4 becomes 3/12 and 1/6 becomes 2/12. Then add them: 3/12 + 2/12 = 5/12. The same process applies for subtraction.
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