PEMDAS Made Easy: Learn with Fun Animations

Welcome to the world of mathematical order! Today, we'll learn about PEMDAS, the key to solving math problems in the right order.PEMDAS is an acronym where each letter represents a different mathematical operation.Think of PEMDAS as a mathematical recipe. Just like in cooking, following the right order is crucial for success.For operations of equal priority, like multiplication and division, or addition and subtraction, we always work from left to right.Remember, Multiplication and Division are partners of equal rank, as are Addition and Subtraction.Now that we understand what PEMDAS means, let's see how to use it.When solving expressions with both parentheses and exponents, we always start with parentheses.Inside these parentheses, we have four plus two.After solving what's inside the parentheses, we can multiply by three.After parentheses, we handle exponents. An exponent tells us how many times to multiply a number by itself.Let's see how two cubed works. First we multiply two times two to get four.Then we multiply that result by two again to get eight.Here are some more examples of exponents. Three squared means three times three, which equals nine.And four squared means four times four, which equals sixteen.Let's try combining parentheses and exponents. Here we have three plus one, all squared.First, we solve what's inside the parentheses: three plus one equals four.Then we can handle the exponent: four squared equals sixteen.After handling parentheses and exponents, multiplication and division share equal priority.We solve these operations from left to right, like reading a sentence.Let's look at our first example: six divided by two times three.First, we solve six divided by two, which equals three.Then we multiply three times three to get our final answer of nine.A common mistake is to multiply first. This gives us the wrong answer of one.Let's try a more challenging example with multiple operations: twelve divided by three times two divided by four.Starting from the left, twelve divided by three equals four.Next, four times two equals eight.Finally, eight divided by four equals two.Division can also be written using fraction notation, which is mathematically equivalent.Here's a practice problem for you to try: eight times two divided by four times three. Remember to solve from left to right!When we reach Addition and Subtraction in PEMDAS, we perform these operations from left to right.Let's solve eight minus three plus four.We start at eight on our number line.First, we subtract three, moving left on our number line to five.Then, we add four, moving right to reach our final answer of nine.Let's try a more complex example: ten minus four plus two minus three.Working from left to right, first we subtract four from ten.Next, we add two to six.Finally, we subtract three from eight to get our answer of five.Remember, with addition and subtraction, we always work from left to right, treating both operations with equal importance.Now let's put everything we've learned about PEMDAS into practice with a complete problem.First, following PEMDAS, we solve what's inside the parentheses. Five plus two equals seven.Next, we handle the exponent. Seven squared means seven times seven, which equals forty-nine.Moving on to multiplication, we calculate three times four, which equals twelve.Finally, we handle addition and subtraction from left to right. Forty-nine minus twelve equals thirty-seven, plus one equals thirty-eight.And there we have it! Our final answer is thirty-eight.Remember to always follow PEMDAS, work step by step, and check your work for accuracy.Thanks for learning about PEMDAS with Spark.E!