1 is the only number which is its own reciprocal. Is the given statement true or false

Solution:

Reciprocal means interchanging numerator and denominator

For all integer numbers, the denominator is 1.

So, we have 1,-1 whose denominator is 1 and is reciprocal of itself.

Hence, the statement is false.

✦ Try This: 0 has no reciprocal, true or false?

0 is neither negative nor positive

0 has a denominator as 1 but it's reciprocal is 1/0 which is undefined.

Hence, the reciprocal of 0 doesn't exist.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 71

1 is the only number which is its own reciprocal. Is the given statement true or false

Summary:

1 is the only number which is its own reciprocal. This statement is false

☛ Related Questions:

• -1 is not the reciprocal of any rational number. Is the given statement true or false
• For any rational number x, x + (-1) = -x. Is the given statement true or false
• For rational numbers x and y, if x < y then x - y is a positive rational number. Is the given statem . . . .