Integers are closed under multiplication
Solution:
The requirement of the above question is to prove whether the given statement is true or false.
The given statement is: Integers are closed under multiplication.
Since, multiplication of two integers is always an integer.
Now let us put the integer rules to prove the same.
5 × (8) = 40
Therefore, using the integer rules, we observed that integers are closed under multiplication.
✦ Try This: State whether the statement is true or false. 4 × (-9) is the same as 9 × (-4).
We can apply integer rules and the order of operations to identify whether 4 × (-9) is the same as 9 × (-4).
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1
NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 92
Integers are closed under multiplication.
Summary:
Applying the integer rules and after simplifying we have observed that integers are closed under multiplication. Hence the given statement is true.
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