Page 79 - Maths Skills - 7

Rational Numbers 77

4. Every negative rational number is less than 3. How much money he saved?
________________. 4. How much money he spend on grocery,
5. The product of any rational number with 1 is the shopping, and education in total?
________________ itself.
6. The sum of 0 and any rational number is the E. Assertion-Reason Based Questions
________________ itself. Directions for Questions 1 to 2: In each of the
7. The difference of two rational numbers is always questions given below, there are two statements
marked as Assertion (A) and Reason (R). Mark your
a ________________. answer as per the codes provided below:
8. The sum of two rational numbers is always a (a) Both A and R are true and R is the correct
________________. explanation of A.
9. The absolute value of 0 is ________________. (b) Both A and R are true but R is not the correct

C. Write ‘T’ for true and ‘F’ for false statements explanation of A.
(c) A is true but R is false.
1. Every fraction is not a rational number.
36 (d) A is false but R is true.
2. can be expressed as a rational number with Q. 1. Assertion (A): Rational numbers can be
72
denominator 2. expressed as fractions.
Reason (R): The number that can be written in
3. Every integer is a rational number. p
forms of where p and q both are integers and
4. 1 is the smallest rational number. q
q ≠ 0 is called rational number.
− 8 8
5. The absolute value of is . 5 3 15 5
13 13 Q. 2. Assertion (A): × = =
42
6. The reciprocal of – 1 is 1. p 6 r 7 p + r 14 p r
Reason (R): × = , where , are
7. The product of a positive rational number and a q s q + s q s
negative rational number is positive. rational numbers

8. The product of two rational numbers is a rational SUBJECTIVE TYPE QUESTIONS

number.
F. Solve the following word problems
9. Zero is the only rational number which is its own 3 − 3

negative. 1. Are the three rational numbers − , 7 and
7
3
D. Case Study Based Questions − 7 equivalent?
Nehal who is working in a IT company earns 2. Find the value of x, such that − 5 and x are
` 250000 per month. Out of his earning he spend 12 − 24
one-tenth on grocery, one-forth on shopping. equivalent rational numbers.
One-fifth of remaining on education of his kids 1
and rest of his money he puts in his savings. 3. The sum of two rational numbers is . If one of
2
Answer the following questions on the basis of the numbers is − 8 , find the other number.
the above data. 19

1. How much money was left with him after 4. The product of two rational numbers is − 32 . If
spending on grocery and shopping? − 8 18

2. Calculate the amount spend by Nehal on one of the numbers is 6 , find the other.
education of children.