Welcome to Math with Mr J. In this video, I'm going to cover the order of operations and how to use the order of operations. Now, we can think of the order of operations as a set of rules or instructions that we need to follow when we have a problem with multiple operations and steps. We use the order of operations that way everyone is working through problems the same way and using the same rules. This helps us get to the same solutions or answers. Everyone is on the same page so to speak and going through problems the same way. As far as the order of operations, we start with parentheses, so parentheses are priority number one. If we see parentheses in an expression we start there. Then we have exponents, then multiplication and division. Now I do want to mention, multiplication and division are on the same level, they are the same priority in the order of operations, so if we have both, we work from left to right. And then addition and subtraction. Now, addition and subtraction are on the same level, they are the same priority, so if we have both we work from left to right. This will all make a lot more sense as we go through our examples. Just think of the order of operations like a set of instructions that we follow step-by-step. Now, we have an acronym that we can think of in order to remember that order, PEMDAS, so parentheses, exponents, multiplication and division, and then addition and subtraction. So PEMDAS just represents the order of operations. Let's jump into our examples and see exactly how all of this works starting with number one, where we have 30 divided by and then in parentheses 13 minus 8. So let's work through the order of operations. Do we have any parentheses in this expression? Yes, so we start there. We have 13 minus 8 in parentheses. 13 minus 8 is 5. Then, we need to bring down everything we did not use, so we have 30 and then divided by 5. So now we have 30 divided by 5. We only have one operation here, division, so that's what we need to do. 30 divided by 5 is 6, so our final answer, 6. So for number one, we worked through the order of operations. We started with parentheses, then we brought down everything we did not use, and we ended with 30 divided by 5 which gave us 6. Let's move on to number two, where we have 16 minus 5 times 3 plus 12. Let's work through the order of operations. Do we have any parentheses? No, so let's move on to exponents. Do we have any exponents? No, so let's move on to multiplication and division. Do we have any multiplication or division? Yes, so that's where we start. We have multiplication, we have 5 times 3. That is 15. Now we need to bring down everything we did not use, so we have 16 minus 15 and then plus 12. So we have 16 minus 15 plus 12 and we need to continue to work through the order of operations. Any parentheses? No. Any exponents? No. Any multiplication or division? No. Any addition or subtraction? Yes, we have both, addition and subtraction. Since we have both addition and subtraction, we need to work from left to right. Addition and subtraction are on the same level, they are the same priority in our order of operations, so again, we need to work left to right. When working from left to right, we need to do subtraction first here, so 16 minus 15 is 1. Bring down everything we did not use, so plus 12 and now we have 1 plus 12. We only have one operation left, so that's what we need to do. We need to add. 1 plus 12 is 13 and that is our final answer. Let's move on to numbers three and four. Here are numbers three and four. Let's start with number three, where we have 7 squared minus 14 times 2. Let's work through the order of operations. Are there any parentheses in this expression? No, so let's move on to exponents. Are there any exponents in this expression? Yes, so let's start there. We have 7 squared which means 7 times 7. That's 49. Bring down everything we did not use, so now we have 49 minus 14 times 2. Let's continue to work through the order of operations. Any parentheses? No. Any exponents? No. Any multiplication or division? Yes, we have multiplication, so that's what we need to do next. We have 14 times 2 which is 28. Bring down everything we did not use, so 49 minus 28. We have one operation left, subtraction, so we need to subtract. 49 minus 28 is 21, so our final answer, 21. Let's move on to number four, where we have 18 divided by and then in parentheses 6 plus 3 end parentheses times 15. Let's work through the order of operations. Any parentheses in this expression? Yes, so we need to start there. We have 6 plus 3 in parentheses. That's 9 and then we need to bring down everything we did not use, so now we have 18 divided by 9 times 15. Any parentheses? No. Any exponents? No. Any multiplication or division? Yes, we actually have both multiplication and division. Since we have both, we need to work from left to right. Multiplication and division are on the same level so to speak, they are the same priority, so when that happens we work from left to right. When working from left to right, division comes first. We have 18 divided by 9, so let's do that. 18 divided by 9 is 2. Bring down everything we did not use, so times 15 there. And now we have 2 times 15. 2 times 15 gives us 30. Our final answer, 30. So there you have it, there's how to use the order of operations. Just remember PEMDAS, parentheses, exponents, multiplication and division, and then addition and subtraction. Just work through step-by-step. I hope that helped. Thanks so much for watching. Until next time, peace.