Algebra rearranging operations help

In summary, Algebra rearranging, also known as solving equations, is the process of manipulating an equation to isolate a specific variable by performing inverse operations. It is important because it allows us to solve equations and find the value of unknown variables, and is used in various fields such as science, engineering, and economics. The basic operations used in Algebra rearranging are addition, subtraction, multiplication, and division. The operation used depends on the variable being isolated. Algebra rearranging can also be applied in real-life situations, such as calculating discounts, interest rates, and solving problems in physics and chemistry.
  • #1
falcios
3
0
How does this formula SPI = EV / PV rearrange to this formula EV = SPI * PV
Why does the operation change from multiply to divide?

Thanks for the help.
 
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  • #2
We begin with:

\(\displaystyle SPI=\frac{EV}{PV}\)

If we next multiply both sides by $PV$, we get:

\(\displaystyle SPI\cdot PV=\frac{EV}{PV}\cdot PV=EV\cdot\frac{PV}{PV}=EV\cdot1=EV\)
 
  • #3
-
The answer to your "why" question is this:

Division is the same as multiplying by a reciprocal, that is:

\(\displaystyle \frac{a}{b} = a*\frac{1}{b}\)
 

Related to Algebra rearranging operations help

What is Algebra rearranging?

Algebra rearranging, also known as solving equations, is the process of manipulating an equation to isolate a specific variable. This is done by performing inverse operations to both sides of the equation until the variable is left alone on one side.

Why is Algebra rearranging important?

Algebra rearranging is important because it allows us to solve equations and find the value of unknown variables. It is a fundamental skill in mathematics and is used in various fields such as science, engineering, and economics.

What are the basic operations used in Algebra rearranging?

The basic operations used in Algebra rearranging are addition, subtraction, multiplication, and division. These operations can be performed on both sides of an equation to isolate a variable.

How do I know which operation to perform when rearranging an equation?

The operation you perform when rearranging an equation depends on the variable you are trying to isolate. For example, if the variable is being multiplied by a number, you can divide both sides of the equation by that number to isolate the variable.

Can I use Algebra rearranging in real-life situations?

Yes, Algebra rearranging can be used in real-life situations. For example, it can be used to calculate discounts, interest rates, and solve problems in physics and chemistry. It is a valuable skill to have in many professions.

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