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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
View AnswerAns: True
(b) Zero is a rational number.
View AnswerAns: True
(c) Every rational number is a whole number.
View AnswerAns: False
(d) Two rational numbers with difference numerators can't be equal.
View AnswerAns: False
(e) Every fraction is a rational number.
View AnswerAns: True
(f) Sum of two rational numbers is always a rational number.
View AnswerAns: True
(g) The rational number -35 lies to the right of zero on the number line.
View AnswerAns: False
(h) Every natural number is a rational number but every rational number need not be a natural number.
View AnswerAns: True
(i) 2/4 is equivalent to 4/8
View AnswerAns: True
(j) The rational numbers -11-12 and -78 are on the opposite sides of zero on the number line
View AnswerAns: 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 __________.
View AnswerAns: common factor
(b) The rational number -12-17 Lies to the ____________ of zero on the number line.
View AnswerAns: right
(c) If p/q is a rational number, then q can't be ___________.
View AnswerAns: 0
(d) Two rational numbers with different numerators are equal, if their numerators are in the same ______________ as their denominators.
View AnswerAns: ratio
(e) Two rational numbers are equal if they have the same __________ form.
View AnswerAns: simple
(f) A rational number p/q is negative if p & q are of __________ sign.
View AnswerAns: opposite
(g) If the product of two non-zero rational number is 1, then they are ______________ of each other.
View AnswerAns: reciprocal
(h) Between any two distinct rational numbers there are ___________ rational numbers.
View AnswerAns: infinite
(i) Additive inverse of 2/3 is ______.
View AnswerAns: -23
(j) The reciprocal of ______ does not exist.
View AnswerAns: zero
Q3: By what number should we multiply -8-15 , so that the product is 24.
View AnswerAns:
Q4: What should be subtracted from -34 to get 5/9?
View AnswerAns: -34 − 59 = -3 × 9 − 4 × 536 = -4736
Q5: Subtract -38 from -57
View AnswerAns:
-57 - -38 = -5 × 8 + 3 × 756 = -1956
Q6: The cost of 4 12 meters of cloth is Rs. 8512. find the cost of one meter cloth.
View AnswerAns: The cost of 4 12 meters of cloth is Rs. 8512.
Convert mixed fractions: 4 12 = 92, 85 12 = 1712.
Cost per meter: 171292 = 1719 = 19.
Q7: Simplify (-58 × 37 × 4-15) + ( 47 × -218)
View AnswerAns: 1. First Term:
-58 × 37 × 4-15 = 114
2. Second Term:
47 × -218 = -32
3. Add:
114 + -32 = -107
Q8: A stairway consists of 14 stairs, each 32 57 cm high. What is the vertical height of the stairways?
View AnswerAns: 1. Convert the mixed fraction 32 57 to an improper fraction:
32 × 7 + 57 = 224 + 57 = 2297 cm.
2. Total height of the stairway = 14 x 2297
= 14 × 2297 = 32067 = 458 cm.
Q9: Arrange the rational numbers -710, 5-8, 2-3 in the ascending order.
View AnswerAns: Converting them into same denominator by using LCM
-710 = -84120, 5-8 = -75 120, 2-3 = -80120.
So Ascending order will be
-84120 < -80120 < -75120
Therefore, correct order become: -710 < 2-3 < 5 -8.
Q10: Which of the following rational numbers is equal to its reciprocal?
(a) 1
(b) 2
(c) 1/2
(d) 0
View AnswerAns: (a)
Q11: Which is greater number in the following:
(a) -15
(b) 0
(c) 1/5
(d) -5
View AnswerAns: (c)
Q12: Which is lowest number in the following:
(a) -12
(b) 0
(c) 1/2
(d) -2
View AnswerAns: (d)
Q13: Match the Column
(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
View AnswerAns: (a)
(a) 12 ÷ 12:
Solution: 12 ÷ 12 = 12 × 21 = 1
Match: (ii)
(b) 25 ÷ -25:
Solution: 25 ÷ -25 = 25 × -52 = -1
Match: (iii)
(c) 1 ÷ 25:
Solution: 1 ÷ 25 = 1 × 52 = 52
Match: (iv)
(d) 2-5 ÷ -1:
Solution: 2-5 ÷ -1 = 2-5 × -1 = 25
Match: (i)
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
View AnswerAns: (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? |  |
| 2. How do you identify rational numbers among different types of numbers? | |
Ans. To identify rational numbers, check if the number can be expressed in the form \( \frac{p}{q} \). For example, numbers like 1, -3/4, and 0.5 (which is \( \frac{1}{2} \)) are rational. In contrast, numbers like \( \sqrt{2} \) or \( \pi \) cannot be expressed as such and are therefore not rational.
| 3. Can you provide examples of rational numbers in everyday life? | |
Ans. Yes! Common examples of rational numbers in everyday life include measurements like 1.5 meters, prices like $2.99, and scores in a game like 10/15. All of these can be represented as fractions or decimals.
| 4. What operations can be performed on rational numbers? | |
Ans. You can perform all basic arithmetic operations on rational numbers, including addition, subtraction, multiplication, and division. When adding or subtracting, find a common denominator; for multiplication, multiply the numerators and denominators; and for division, multiply by the reciprocal of the divisor.
| 5. How do rational numbers relate to integers and whole numbers? | |
Ans. Rational numbers include all integers and whole numbers since any integer \( n \) can be expressed as \( \frac{n}{1} \). Thus, all whole numbers (0, 1, 2, ...) and negative integers (-1, -2, ...) are also rational numbers.
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