Integers are closed under subtraction

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 ‘Integers are closed under subtraction’.

Considering, -4 and -3 as two negative integers. Now to justify the given statement let us calculate the difference of two negative integers.

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

Applying integer rules on subtracting two negative integers we get an integer as a result. Hence proved, the statement, Integers are closed under subtraction stands as a true statement.

✦ Try This: Evaluate -5 - (-10) and state whether the obtained value is an integer.

We can apply integer rules and the order of operations to identify whether the resultant value of -5 - (-10) 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 77

Integers are closed under subtraction.

Summary:

After applying the integer rules and with the help of an example we examined that subtraction of any two integers is always an integer, which proves that integers are closed under subtraction. Hence the given statement is true.

☛ Related Questions:

• Sum of two negative integers always gives a number smaller than both the integers
• Difference of two negative integers cannot be a positive integer
• We can write a pair of integers whose sum is not an integer