Which of the following operations is not associative?a)Additionb)Subtr...
Explanation:
In mathematics, associativity is a property of binary operations, which states that the grouping of numbers being operated on does not change the result. In other words, it doesn't matter how you group the numbers, the answer will remain the same.
For example, in addition, the order of numbers being added doesn't matter. The sum will be the same regardless of how you group the numbers. Similarly, for multiplication and division, the order of numbers being multiplied or divided doesn't affect the result. Therefore, addition, multiplication, and division are all associative operations.
Subtraction is not associative
Subtraction, on the other hand, is not associative. This means that changing the grouping of numbers being subtracted will change the result.
Let's take an example to illustrate this:
Consider the numbers 10, 5, and 3.
If we group them like (10 - 5) - 3, the first subtraction operation is performed first: 10 - 5 = 5. Then, subtracting 3 from 5 gives us a final result of 2.
However, if we group them like 10 - (5 - 3), the subtraction operation inside the parentheses is performed first: 5 - 3 = 2. Then, subtracting 2 from 10 gives us a final result of 8.
As you can see, the two groups give us different results, which indicates that subtraction is not associative.
Conclusion:
In summary, addition, multiplication, and division are associative operations, while subtraction is not associative.
Which of the following operations is not associative?a)Additionb)Subtr...
Subtraction is not associative. The grouping of numbers being subtracted does affect the result. For example, (1 - 2) - 3 is not equal to 1 - (2 - 3).
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