Rational Numbers
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   Linear Equations in One 
      Variable

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   Understanding Quadrilaterals
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   Practical Geometry
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   Data Handling
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   Squares and Square Roots
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   Cubes and Cube Roots
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   Comparing Quantities
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   Algebraic Expressions and
      Identities

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   Visualising Solid Shapes
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   Mensuration
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   Exponents and Powers
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   Direct and Inverse Proportions
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   Factorisation
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   Introduction to Graphs
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   Playing with Numbers
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Ex-1.1   |   Ex-1.2

1. Using appropriate properties find



 

2. Write the additive inverse of following:






 

3. Verify that (-x) = x for



 

4. Find the multiplicative inverse of the following:






 

(vi) -1

Answer: 1

5. Name the property under multiplication used in each of the following:


 

Answer: Here, 1 is the multiplicative identity.


 

Answer: Here commutativity of multiplication is shown.


 

Answer: Here, multiplicative inverse is used.



 

Answer: Here, associativity is being used.


 

Hence, this is not a case of multiplicative inverse.


 

Hence, this is a case of multiplicative inverse.

10. Write.

(i) The rational number that does not have a reciprocal.

Answer: 0 does not have a reciprocal. Because a number divided by 0 is undefined.

(ii) The rational numbers that are equal to their reciprocals.

Answer: 1 and -1 are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

Answer: 0 is the number equal to its negative.

11:Fill in the blanks.
(i) Zero has __________ reciprocal.
(ii) The numbers __________ and __________ are their own reciprocals
(iii) The reciprocal of − 5 is __________.
(iv) Reciprocal of 1/x, where x not equal to zero is __________.
(v) The product of two rational numbers is always a __________.
(vi) The reciprocal of a positive rational number is __________.
Answer:
(i)
No
(ii)1,-1
(iii)-1/5
(iv) x
(v) Rational Number
(vi) Positive rational number

 

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