# Basic Operations Exercises

#### Order of Operations

The order in which we complete a mathematical equation or expression is essential. Doing the steps of a problem out of order can lead to a totally different answer, even if you do the calculat...

#### Prime Factorization

Prime factorization is the process of breaking down a number into its prime factors.Say what?Ok, let's break that statement down:Prime number: a number that is only divisible by one and itself....

#### LCM & GCF

Least Common Multiple (LCM) of two or more numbers is the smallest number, other than zero, that is a multiple of each number.Greatest Common Factor (GCF) of two or more numbers is the largest n...

#### Absolute Value

The absolute value of a number is the number's distance from zero on a number line.
Since we never talk about distance as being negative, the absolute value of a number is always positiv...

#### Adding Integers

Here's the secret to adding integers: one positive and one negative added together cancel each other out. Think about it like this, if you bonk your sister on the head (a negativ...

#### Subtracting Integers

Subtraction is the mirror opposite of addition. The most important thing to know is that subtracting a positive = adding a negativeand subtracting a negative = adding a positiveGo...

#### Multiplying and Dividing Integers

You've made it past addition and subtraction. Guess what's next? It's time to learn the ropes of multiplying and dividing positives and negatives.
The rules for multiplication and division...

#### Powers

Powers, also known as exponents, are a way to shorten long strings of multiplication.
Instead of writing , write which means "multiply four 5s together."Or how about this for a...

#### Roots

Roots are sort of like the opposites of powers. The square root of , written as , means "what number times itself gives an answer of ?" 3 squared, or 3 to the second po...

#### Scientific Notation

Scientific notation is an operation using exponents to write very large and very small numbers. Just like exponents, scientific notation was invented so that we don't have to spend wasted time...

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