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

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Ans: True

(b) Zero is a rational number.

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Ans: True

(c) Every rational number is a whole number.

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Ans: False

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

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Ans: False

(e) Every fraction is a rational number.

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Ans: True

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

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Ans: True

(g) The rational number -35 lies to the right of zero on the number line.

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Ans: False

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

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Ans: True

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

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Ans: True

(j) The rational numbers -11,-12 and  -78 are on the opposite sides of zero on the number line

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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 __________.

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Ans: common factor

(b) The rational numbers -12 and -17 lie to the ____________ of zero on the number line.

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Ans: right

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

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Ans: 0

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

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Ans: ratio

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

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Ans: simplest

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

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Ans: opposite

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

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Ans: reciprocal

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

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Ans: infinite

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

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Ans:  -2/3 

(j) The reciprocal of ______ does not exist.

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Ans: zero

Q3: By what number should we multiply 8/-15 , so that the product is 24.

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Ans:  

Q4: What should be subtracted from -3/4  to get 5/9?

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Ans: Convert to like denominators

Q5: Subtract -3/8 from -5/7

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Ans: 
 -5/7 - (-3/8) =  -5 × 8 + 3 × 756 = -1956

Q6: The cost of 4 1/2 meters of cloth is Rs. 8512. find the cost of one meter cloth.

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Ans: Total cost of 4½ meters of cloth = Rs. 8512

Convert the mixed number to an improper fraction=

Let the cost of 1 meter = x
$\mathrm{Cost\; of\; 1\; meter\; of\; cloth\; =\; Rs.\; 1891.56<br\; style="">}$

Q7: Simplify 

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Ans: Final Answer:

Q8: A stairway consists of 14 stairs, eachcm high. What is the vertical height of the stairways ?

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Ans:

Q9: Arrange the rational numbersin the ascending order.

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Ans: Converting them into same denominator by using LCM

So Ascending order will be

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

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Ans: (a)

Q11: Which is greater number in the following:
(a)
(b) 0
(c) 1/5
(d) -5

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Ans: (c)

Q12: Which is lowest number in the following:
(a)
(b) 0
(c) 1/2
(d) -2

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Ans: (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

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Ans: (a)

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

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Ans: (b)