Question

Докажите a-b и b-a противоположны

Answer 1

B-a=-(a-b) следовательно противоположно для а-b

Answer 2

Если сумма 2-х чисел=0, то они противоположны

а-в+в-а=0 ч.т.д.

Answer 3

Proving a-b and b-a are Opposite

To prove that a-b and b-a are opposite, we can use the properties of subtraction and the commutative property of addition.

1. a-b: - When we subtract b from a, we get a-b.

2. b-a: - When we subtract a from b, we get b-a.

Proof:

Using the Properties of Subtraction: - Subtraction is not commutative, meaning a-b is not the same as b-a.

Using the Commutative Property of Addition: - The commutative property of addition states that a + b = b + a for any real numbers a and b.

Conclusion: - Therefore, a-b and b-a are indeed opposite, as they are not equal due to the non-commutative nature of subtraction, and they are related through the commutative property of addition.

This conclusion is supported by the properties of subtraction and the commutative property of addition, which demonstrate that a-b and b-a are indeed opposite.