Could anyone explain to be what these term mean in math? I try googling them but can't find the answer. Thanks
1.Opposite of a Difference
2.Opposite of a Sum
3.Opposite of an Opposite
The opposite of a number is its additive inverse. I do not see the term opposite used very frequently in this sense in English, although this is the proper term in French (l'opposé).
For example, the opposite (or additive inverse) of 4 is -4.
You can check the validity by adding the two numbers together. Any number added to its opposite should give zero.
Since 4+(-4)=0, we can safely say that the opposite of 4 is -4.
With the definition above, you should be able to handle the question. Post if you need more information.
Sure! I'd be happy to help you understand these terms in math.
1. Opposite of a Difference: To find the opposite of a difference, you need to understand what a difference means. In math, a difference refers to the result of subtracting one number from another. For example, if you have two numbers, let's say 5 and 3, the difference between them would be 5 - 3 = 2.
To find the opposite of a difference, you simply change the sign of the difference. If the difference is positive, the opposite would be negative, and if the difference is negative, the opposite would be positive. So, if the difference is 2, the opposite of the difference would be -2.
2. Opposite of a Sum: Similar to the previous explanation, you first need to understand what a sum means in math. A sum refers to the result of adding two or more numbers. For example, if you have the numbers 2 and 3, the sum of them would be 2 + 3 = 5.
To find the opposite of a sum, you once again change the sign of the sum. If the sum is positive, the opposite would be negative, and if the sum is negative, the opposite would be positive. So, if the sum is 5, the opposite of the sum would be -5.
3. Opposite of an Opposite: When you have a number, let's say x, the opposite of x is the number that, when added to x, gives you a sum of zero. For example, the opposite of 3 is -3, because 3 + (-3) = 0. This is because adding a number and its opposite always results in zero.
So, the opposite of an opposite means finding the opposite of a number that is already the opposite of another number. In other words, it is like multiplying the negative sign twice. For example, if you have the number -5, the opposite of its opposite would be -(-5), which simplifies to 5.
Remember, understanding the concepts of differences, sums, and opposites is crucial to grasping these terms in math.