All categories

3 years ago

What is the sum of any rational number and it's opposite

Mathematics

2 answers:

Vesnalui [34]3 years ago

8 0

It's 0.

$a+(-a)=a-a=0$

AnnyKZ [126]3 years ago

5 0

To figure out this problem, you can look at formulas, or you can try out a few problems. There are many people that prefer one or the other in my class, so I will show you both. :)

Before I show you either of these, I'm going to define rational numbers and explain some things so that you can understand why we do what we do. Make sure to remember things like this because when you get to algebra (I'm in algebra), you need to know all of this stuff! :)

A rational number is any number that can be written in a over b form (a/b) or as a fraction. A rational number can be positive or negative because you can put positive and negative numbers into a fraction. Decimals can also be rational numbers because things such as .3 can be written as 3/10. So, depending on what number you have, there is always an opposite.

To find an opposite number, you have to basically find the absolute value (how far the number is from zero), double that number, and add it from the original number. Or, if you want to make it worlds easier, you can just make the number the opposite inverse. So, if it is -4, the opposite is 4. If the number is 7, then the opposite is -7. What is the sum between both of those examples? Zero.

Here is the formula: a+(-a)=0, (-a)+a=0
Here is some examples: (-5)+5=0, 8+(-8)=0

Thanks so much for the opportunity to answer your question. I hope this helped! :)

You might be interested in

One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?

Slav-nsk [51]

Answer:

-7

Step-by-step explanation:

Because zero is the x, so x=-7 then it's -7

8 0

3 years ago

Find the derivative of g(y)=(y-4)*(2y+y^2)

sasho [114]

Answer:

$g'(y)=3y^2-4y-8$

Step-by-step explanation:

start by foiling out the given function

$g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y$

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

$g'(y)=3y^2-4y-8$

5 0

2 years ago

To prove that VWZ ~ YXZ by SAS similarity theorem, which other side or angle should be used

ExtremeBDS [4]

SAS
answer is third option
<VZW = <YZX

8 0

4 years ago

Read 2 more answers

What is the average rate of change of f(x) = (x + 3)2 − 2

Tema [17]

Answer:

When we have a function f(x), the average rate of change in the interval (a, b) is:

$r = \frac{f(b) - f(a)}{b - a}$

In this case, we have the function:

f(x) = (x + 3)^2 - 2

(but we do not have the interval, and I couldn't find the complete question online)

So if for example, we have the interval (2, 4)

The average rate of change will be:

$r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12$

If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).

Such that the rate of change, in this case, will be:

f'(x) = df/dx

For a function like:

g(x) = x^n + c

g'(x) = n*x^(n - 1)

And for:

h(x) = k( g(x))

h'(x) = k'(g(x))*g'(x)

So here we can write our function as:

f(x) = k(g(x)) = (x + 3)^2 - 2

where:

g(x) = x + 3

k(x) = x^2 - 2

Then:

f'(x) = 2*(x + 3)*1 = 2*x + 6

That is the rate of change as a function of x (but is not an "average" rate of change)

8 0

3 years ago

Write an equation: Gianna finds $20 on the floor, and she starts saves her allowance

damaskus [11]

Answer:

5x +20

Step-by-step explanation:

8 0

3 years ago