# When we change the order of integers their difference remains the same

**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 ‘When we change the order of integers their difference remains the same.’.

Considering, -4 and -3 as two negative integers. Now to justify the given statement let us calculate the difference of two negative integers twice, once as -4 - (-3) and another way -3 - (-4).

On subtracting, -4 - (-3) we have -1

On subtracting, -3 - (-4) we have 1

Applying integer rules on subtracting two negative integers in different orders we did not get the same integer as a result. Hence proved, the statement, ‘when we change the order of integers, their difference remains the same’ stands as a false statement.

**✦ Try This: **Evaluate -5 - (-10) and -10 - (-5) and compare your answers

We can apply integer rules and the order of operations to identify the final value of -5 - (-10) and -10 - (-5)

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

**NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 80**

## When we change the order of integers their difference remains the same.

**Summary:**

After applying the integer rules and with the help of an example we examined that subtraction of any two integers in any order never gives the same value. Which proves that when we change the order of integers, their difference never remains the same. Hence the given statement is false.

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