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 ≠ 0 is ________.
(v) The product of two rational numbers is always a _______.
(vi) The reciprocal of a positive rational number is ________.

Solution:

(i) Zero has no reciprocal

(ii) The numbers 1 and -1 are their own reciprocals.

(iii) The reciprocal of -5 is -1/5

(iv) Reciprocal of 1/x, where x ≠ 0 is x

(v) The product of two rational numbers is always a rational number

(vi) The reciprocal of a positive rational number is positive

☛ Check: Class 8 Maths NCERT Solutions Chapter 1

Video Solution:

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 ≠ 0 is ________. (v) The product of two rational numbers is always a _______. (vi) The reciprocal of a positive rational number is ________.

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1 Question 11

Summary:

The answers to the respective blanks are : (i) Zero has no reciprocal, (ii) The numbers 1 and -1 are their own reciprocals., (iii) The reciprocal of -5 is -1/5 , (iv) Reciprocal of 1/x, where x ≠ 0 is x , (v) The product of two rational numbers is always a rational number , (vi) The reciprocal of a positive rational number is positive.

☛ Related Questions:

• Using appropriate properties find: (i) -2/3 × 3/5 + 5/2 - 3/5 × 1/6 (ii) 2/5 × (-3/7) -1/6 × 3/2 + 1/14 × 2/5.
• Write the additive inverse of each of the following (i) 2/8 (ii) -5/9 (iii) -6/-5 (iv) 2/-9 (v) 19/-6.
• Verify that -(-x) = x for. (i) x = 11/15 (ii) x = -13/7
• Find the multiplicative inverse of the following (i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5 (vi) -1.