Integers are closed under division

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 division’.

To prove the statement is true or false let us consider an example.

Divide -15 by -2.

Here, on dividing the given integers we get the decimal value that is -15 ÷ (-2) = 7.5 which is not an integer term.

Hence after applying integer rules we proved that the statement, ‘integers are closed under division’ stands as a false statement.

✦ Try This: Evaluate 5 divide by (-16). Examine whether the result is an integer value or not.

We can apply integer rules and the division rules to identify the final value of 5 ÷ (-16).

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

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 105

Integers are closed under division.

Summary:

After applying the integer rules and with the help of an example we examined that integers are not closed under division. Hence the given statement is false.

☛ Related Questions:

• [(-32) ÷ 8] ÷ 2 = -32 ÷ [8 ÷ 2]
• The sum of an integer and its additive inverse is zero (0)
• The successor of 0 × (-25) is 1 × (-25)