Originally Posted by

**Andrei**

The way you put it makes it really easy to understand. I don't have problems with the number families although I had some uncertainties with rational numbers. Thanks

No problem

That's good. Understanding integers and natural numbers are critical in basic Algebra.

And just to help a little more, here's a summary of operations if you're interested...

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There are 3 basic levels of operations you'll need to know: Addition (

), Multiplication (

)...

And then there's the third one, Exponentiation (which is the one that involves powers, exponents, and square roots).

Now, pretend

is just some number...

Exponentiation

Multiplication

Now those are exponentiation and multiplication.

Notice how exponentiation is just repeated multiplication. And multiplication is based on addition. They act like different

**levels **of operations.

So if you're not sure what

is, just remember it's repeated multiplication:

which is a big number (16,384 to be exact :P).

So if exponents are based on multiplication... And multiplication is based on addition... What is addition based on? Right now, you just need to know that addition is

**self-defined**. It simply is addition itself, and you can't really describe any other way for now. So again, remember that exponents are repeated multiplication. And multiplication is repeated addition. Addition isn't really repeated anything.

Now, I'll present the

**inverse operations**. These are subtraction, division, and roots.

They're really just the reverse of the regular operations.

- What's the opposite of addition?
*Subtraction*. - The opposite of multiplication is
*division*. - And the opposite of exponentiation is "
*roots*" (exponentiation actually has two inverses because it's special, but just learn roots for now).

Now you probably already get subtraction and division. But you seem to have trouble with roots. Here's a summary for roots.

What is the square root

? The number that to the power of 2 = n. It may seem confusing, but it's a very easy concept if you see this...

The square root of 9 is 3. Why? Because 3 to the power of 2 is 9.

The square root of 16 is 4. Because 4 to the power of 2 equals 16.

Now what is the square root of 81? What number to the power of 2 is 81? It's easy if you remember that a number to the power of 2 is just times itself.

Square root of 9 = 3. Because 3 times 3 = 9.

Square root of 16 = 4. Because 4 times 4 = 16.

So what times itself is 81 (is the square root of 81)?