The value of 81265×169−82165×69 is [[1]]

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Detailed Solution

Concept: The value of 81265×169−82165×69 is 8162500.
The qualities of integer operations are relevant to the presented issue.
The five operational qualities of integers are as follows:
Closure Property: According to the closure property, an integer will always be produced when two integers are added together.
Three integers can be multiplied in any order, according to the associative property, which is expressed as x(yz) =(xy) z.
Identity attribute: When an integer is multiplied by 1, the identity property asserts that the result is the same as the original integer, i.e. 1x=x.
The commutative property, which asserts that the location of integers with regard to the multiplication sign has no bearing on the result, is expressed as xy=yx.
Multiplication can be distributed across another mathematical operation enclosed in a bracket, as in the case of x(y+z) =xy+xz, according to the distributive property.
The distributive property of multiplication, which asserts that multiplication can be distributed over another mathematical operation inside a bracket and is the same as xy+xz=x(y+z) , is used to evaluate the above statement.
You can write the given expression using the distributive property as =81625(169-69) .
On simplifying,
=81625×(100)
=8162500
Consequently, the answer is 81265×169−82165×69 is 8162500.

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