When we multiply two integers their product is always greater than both the integers
Solution:
The given statement is: when we multiply two integers their product is always greater than both the integers. To prove whether this statement is true or false let us substitute the value of a and b in a × b = ab.
Let us consider a = 4 and b = 7.
On substituting the values of a and b in a × b we have,
4 × 7 = 28
In this case the product is greater than both the integers. Let us consider one more case.
-4 × 7 = -28
In this case the product is smaller than both the integers.
Therefore, when we multiply two integers then their product may or may not be greater than both the integers.
✦ Try This: State whether the statement is true or false. 71 × 83 is greater than the two integers.
We can apply integer rules and the division rules to identify whether 71 × 83 is greater than the two integers or not.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1
NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 91
When we multiply two integers their product is always greater than both the integers.
Summary:
After applying the integer rules along with considering an illustration we examined that when we multiply two integers then their product may or may not be greater than both the integers.Hence the given statement is false.
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