The sum of an integer and its additive inverse is zero (0)

Solution:

To state whether the given statement is true or false let us analyze the problem with the help of an example. The given statement says ‘the sum of an integer and its additive inverse is zero (0)’.

Let any integer be a. Its additive inverse is -a.

On adding, a + (-a) = a - a = 0

Considering, -4 as an integer and 4 its additive inverse.

On adding, -4 + (4) we have 0 as the final result.

Applying integer rules on adding the integer 4 and its additive inverse -4 we get 0 as a result. Hence proved, the statement, ‘the sum of an integer and its additive inverse is zero (0)’ stands as a true statement.

✦ Try This: Evaluate 5 + (-5)

We can apply integer rules and the additive inverse operation to identify the final value of 5 + (-5).

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 107

The sum of an integer and its additive inverse is zero (0).

Summary:

After applying the integer rules and with the help of an example we examined that addition of an integer with its additive inverse gives 0 as the final value. Which proves that the sum of an integer and its additive inverse is zero (0). Hence the given statement is true

☛ Related Questions:

• The successor of 0 × (-25) is 1 × (-25)
• Observe the following patterns and fill in the blanks to make the statements true: a. -5 × 4 = -20, . . . .
• Science Application: An atom consists of charged particles called electrons and protons. Each proton . . . .