0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following statements is INCORRECT?
  1. Zero has a reciprocal
  2. The product of two negative rational numbers is always positive
  3. The reciprocal of a positive rational number is always positive
  4. The product of two positive rational numbers is always positive

A
The product of two positive rational numbers is always positive
B
The product of two negative rational numbers is always positive
C
The reciprocal of a positive rational number is always positive
D
Zero has a reciprocal
Solution
Verified by Toppr

The correct option is A Zero has a reciprocal
Zero can't have a reciprocal because
1/0 is not defined.
The rest statements are
(a)×(b)=ab
Reciprocal of a is 1/a
a×b=ab
where a and b are positive.
Rest all statements are true except for option A.

Was this answer helpful?
0
Similar Questions
Q1

Fill in the blanks :
(i) The product of two positive rational numbers is always___
(ii) The product of two negative rational numbers is always___
(iii) If two rational numbers have opposite signs then their product is always___
(iv) The reciprocal of a positive rational number is ___ and the reciprocal of a negative rational number is___
(v) Rational number 0 has___ reciprocal.
(vi) The product of a rational number and its reciprocal is ___
(vii) The numbers ___and ___are their own reciprocals.
(viii) If M is reciprocal on N,then the reciprocal of N is___

View Solution
Q2
Fill in the blanks:
(i) The product of two positive rational numbers is always .....
(ii) The product of a positive rational number and a negative rational number is always .....
(iii) The product of two negative rational numbers is always .....
(iv) The reciprocal of a positive rational number is .....
(v) The reciprocal of a negative rational number is .....
(vi) Zero has ..... reciprocal.
(vii) The product of a rational number and its reciprocal is .....
(viii) The numbers ..... and ..... are their own reciprocals.
(ix) If a is reciprocal of b, then the reciprocal of b is .....
(x) The number 0 is ..... the reciprocal of any number.
(xi) Reciprocal of 1a, a0 is .....
(xii) (17 × 12)−1 = 17−1 × .....
View Solution
Q3

Fill in the blanks :

(i)The product of two positive rational numbers is always_______________.
(iii) The product of two negative rational numbers is always_______________.

(iv) The reciprocal of a positive rational number is _______________.

(v) The reciprocal of a negative rational number is _______________.

(vi) Zero has _______________ reciprocal.

(vii) The product of a rational number and its reciprocal is ____________.

(viii) The numbers_______________and_______________are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is _______________.

(x) The number 0 is __________________ the reciprocal of any number.

(xi) Reciprocal of 1a,a is __________________.

(xii) (17×12)1=171×__________________.

View Solution
Q4
Product of two positive rational numbers is always positive.
View Solution
Q5
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 1x, where x0 is _________.
(v) The product of two rational numbers is always a ______________.
(vi) The reciprocal of a positive rational number is _______________.
View Solution