represent addition, subtraction, multiplication, and division while solving problems and justifying solutions

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How Do You Write the Prime Factorization of a Number Using Exponents?

When you're writing the prime factorization of a number, you may be able to use exponents to quickly show all the factors. This tutorial shows you how to find the prime factorization of a number and use exponents to write the answer!
What's the Order of Operations?

Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!
How Do You Multiply A Whole Number By A Fraction?

Multiplying a whole number and a fraction can be confusing, but this tutorial helps to sort things out. Check it out!
How Do You Figure Out the Sign of a Product or Quotient?

Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!
What's a Rational Number?

There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!
How Do You Rewrite Subtraction as Addition?

Subtracting a positive is the same thing as adding a negative. Subtracting a negative is the same as adding a positive. Get a closer look with this tutorial!
How Do You Add Two Negative Numbers?

Adding two negative numbers together? Just add the absolute value of each number together, put a negative sign in front, and you have your answer! See how it's done in this tutorial.
How Do You Evaluate an Algebraic Expression with One Variable?

If you have a value for a variable in an expression, you can evaluate that expression by plugging in that variable value and simplifying! Follow along with this tutorial to see the entire step-by-step process.
What Does It Mean to Divide Fractions?

This tutorial gives an in-depth look at dividing fractions by showing you what it really means to divide them.
How Do You Multiply Mixed Numbers?

To multiply mixed fractions together, you could first convert each to an improper fraction. Then, multiply the fractions together, simplify, and convert your answer back to a mixed fraction. This tutorial will show you how!
How Do You Divide Fractions?

Dividing fractions? Change that division to a multiplication by multiplying the dividend by the reciprocal of the divisor. Learn all about it by watching this tutorial!