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Basic Operations
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Basic Operations Topics
Basic Operations explanations, examples, practice problems. Ready? Let's do this.
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 ca...
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 i...
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...
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 pos...
Integers
Integers is just a fancy name for whole numbers (0, 1, 2, 3 …) and their opposites (1, 2, 3 …). On the number line, negative numbers are found to the left of zero (0). The farthe...
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 n...
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 posi...
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 are...
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 fo...
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 seco...
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...
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