When we change the order of integers, their sum 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 sum remains the same’.

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

On adding, -4 + (-3) we have -7

On adding, -3 + (-4) we have -7

Applying integer rules on adding two negative integers in different orders we get the same integer as a result. Hence proved, the statement, ‘when we change the order of integers, their sum remains the same’ stands as a true 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 79

When we change the order of integers, their sum remains the same.

Summary:

After applying the integer rules and with the help of an example we examined that addition of any two integers in any order always gives the same value. Which proves that when we change the order of integers, their sum remains the same. Hence the given statement is true

☛ Related Questions:

• We can write a pair of integers whose sum is not an integer
• Integers are closed under subtraction
• (-23) + 47 is same as 47 + (-23)