Video instructions and help with filling out and completing Will Form 5495 Priorities

Instructions and Help about Will Form 5495 Priorities

Hi welcome to math antics today we're going to talk about an important math concept called order of operations order of operations is just a set of math rules that tell you which math operations like addition or multiplication to do first now you might be wondering especially if you're a teenager why do I need rules to tell me which operations to do first can't I just do them in any order I want well that's a really good question and to answer it we're gonna give two totally different people the same math problem to solve the problem is 2 plus 5 times 4 hmm I like addition better than multiplication so I'm gonna do that first let's see 2 plus 5 gives us 7 and then I just multiply that 7 by the 4 and I get 28 that was easy but you'd better not copy my answer don't worry I'm not gonna copy your answer because I want the right answer and I prefer multiplying so I'm gonna do that first let's see 4 times 5 equals 20 and then I'll add the 2 which gives me 22 for a final answer what makes you think that's the right answer all my calculations were correct I even checked it with a calculator the only calculator I need is right up here and the correct answer is 22 ok so which one of these guys do you think is right me the one made any mistakes with the calculations they just did the operations in a different order and got different answers well since there were no mistakes in a way they were both right but math would be a very confusing subject if there were different answers to the same problem and that's where order of operations can help us out the order of operations rules are a way for us all to agree on the order that you should do math operations in and if we always do operations in the same order then we'll always get the same answer so now that you know why we need order of operations rules let's find out what those rules are they're basically four of them and they go something like this first do operations in parentheses and brackets most do exponents then do multiplication and division blast do addition and subtraction let's take a closer look at each of these rules and see some examples where they help us first on the list was do operations in parentheses and brackets now in case you haven't seen parentheses or brackets using math before let me briefly explain how they work parentheses are just these symbols that curve forwards and backwards and they're used in pairs like this and when we put numbers and operators in between them it forms a group it's almost like the parentheses form a package to hold whatever math stuff we put inside them and brackets work exactly the same way as parentheses they just have a different shape that looks a little more boxy but they mean exactly the same thing so parentheses and brackets are used to group things together and our rules tell us to do any operations inside these groups first for example have a look at this problem ten times four plus five it has three numbers and two operations multiplication and addition but two of the numbers and the addition symbol are inside parentheses that means that they form a group and we need to do that part of the problem first four plus five equals nine so the part inside the parentheses can just be replaced with the simplified value nine oh and once you do the math that's inside parentheses and get a single number like this you usually don't need to show the parentheses anymore now that the parentheses are gone we just have one operation left to do we multiply ten times nine and that gives us 90 as our final answer so parentheses can really help you know what part of a problem you're supposed to do first but what if you get a problem that has more than one set of parentheses like this five minus three plus six times two fortunately it doesn't matter which set of parentheses you do first you just need to do everything that's inside the parentheses before you do anything that's not inside parentheses in other words we need to simplify both of our parentheses groups before we can do the addition in between them the first group five minus three simplifies to two and the second group six times two simplifies to 12 now we can do the last operation and add the values that we got from simplifying 2 plus 12 equals 14 okay now that we know that we always do operations in parentheses or brackets first let's take a closer look at the second rule that says the next thing we do is an exponents now if you haven't seen exponents before they're just a way of writing repeated multiplication for example the repeated multiplication four times four can be written in a shorter form as 4 multiplied twice and four times four times four can be written as four multiplied 3 times and four times four times four times four can be written as four multiplied 4 times get the idea this small number is called an exponent or power it just tells you how many times to multiply the bigger number together so after we take care of any parentheses simplifying any exponents becomes the next highest priority for example in this problem we have to simplify the exponent before we can do the other multiplication the exponent is telling us to multiply five together twice so 5 times 5 is 25 and after we do that then we multiply the result by 3 so 25 times 3 is 75 oh and one thing I should point out