We can write a pair of integers whose sum is not an integer
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 ‘We can write a pair of integers whose sum is not an integer’.
Considering, -2 and -3 as two negative integers. Now to justify the given statement let us add the two integers..
On adding, -2 - (-3) we have 1
Applying integer rules on subtracting two negative integers we get a positive integer as a result.
Since, sum of two integers (-2 and -3) results in a positive integer (1), hence proved, the given statement, ‘We can write a pair of integers whose sum is not an integer’ stands as a false statement.
✦ Try This: Evaluate -7 + (-9) and state whether the obtained value is an integer value or not.
We can apply integer rules and the order of operations to identify the resultant value of -7 + (-9) and can easily state whether the obtained value is an integer value or not.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1
NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 76
We can write a pair of integers whose sum is not an integer
Summary:
After applying the integer rules and with the help of an example we examined that the sum of two integers always results in an integer value. Hence the given statement, ‘we can write a pair of integers whose sum is not an integer’ is false.
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