Question

Write down a pair of integers whose sum is 0.

Answer 1

Hint: Integers consist of positive counting numbers and negative counting numbers and zero. Consider each pair of numbers/ integers whose sum will form zero. Find out such a kind of pair.

Complete step-by-step answer:

An integer is a number, which is not a fractional number that can be positive, negative or zero.

The set of an integer is denoted as z and it is defined as

\[z=\{.....,-3,-2,-1,0,1,2,3,....\}\]

Integer is a number with no fractional part (no decimals).

From the above,

Integers include the counting numbers {1, 2, 3….}, zero (0) and the negative of the counting numbers {-1, -2, -3….}.

We can write a lot of pairs where the sum of the integers is zero. 

  For example, consider a positive counting number 15 and a negative counting number 15.

The sum of the positive counting number and the negative counting number gives the value zero.

Sum = 15 + (-15) = 0

There are lots of similar pairs eg: (-1, 1), (-2, 2), (-3, 3), (-4, 4) etc.

Note:

There are many possibilities of getting a pair of integers where the sum is zero. But the number has to be the same with the opposite sign.

For example: - Taking (-2, 2). Both the digits are 2 and the sign opposite each of these. This kind of pair will give the sum zero.

If taking (-2, 4), where the digit is different, it won’t give the sum zero.