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Algebra Lesson 1-3 Properties of Numbers

Added Sep 18, 2017 •

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so what someone players on the properties of numbers were going to be recognizing properties of numbers and evaluating and simplifying expressions using them so what's with not on your properties in about supposed to be the first thing you write in your notes today equivalent expressions are two expressions that represent the same number songs that represent the same number Circa properties at work are in a property ham. They're really talking about today show you that you can but looks like two different things on either side of the equal sign but they actually are represent the same value so they are equivalent alright the first company in the handout the reflexive property and it says for any number a equals a that seems silly to say but there is a purpose for it when we saw he Craisins and algebra women singers converts and geometry remember this is already on your hand out and do not have to rewrite this in your notes just make sure you have it all properties handout if you haven't done your property and I can put it on your way properties handle correct will stay papasurvey.com his hand out in two okay so an example of the example that use in the book 5 equals 5 is an example of the reflexive property again seems silly to say that there is a purpose behind it 4 + 7 equals 4 + 750 sides exactly the same direction property you might think of it as when you look in the mirror you see yourself which is your reflection right so this is not the biggest action buttons sound similar so that helps you remember the reflexive property means that you sides are exactly to say okay if you spell reflection helps you remember what the reflexive property has Mattel color reflection property it's not reflection okay the next property of the symmetric property that says for any numbers A&B equals B then b equals a example says if 8 is equal to 2 + 612 + 6 is equal to 8 what do they do they just flip the two sides right that is on your property where'd you find that say the symmetric property again it's shows an equation and then they flip the two sides that's the Metro property. Did she Charter the same they just flip them you see the difference between the reflexive and symmetric because some people want to say they December not the same thing looks like soap says something is exactly the same thing on both sides selected baby switch picture of the order in K that you posted laughed when it was on the right directions to see the difference. I'm not the same property the transitive property for any numbers a b and c of angle b and b equals c then a is a prophecy so another words into things AMC are equal to the same thing amca both equal to be the mayor equal to each other AMC are both equal to be so they are equal to each other also be example about MX is on page next Super Mario helping page 16 since you haven't looked at this at all they are from this chart out already on Friday so they've all seen it already so page 16 it says word for example 6 equals 6 + 9 is equal to 15 I'm at the wrong thing let me go back okay shut up 6 + 9 is equal to 3 + 12 + 3 + 12 is equal to 15 then 6 + 9 must equal 13 so you have the 6 + 9 and the food chain are equal to the same thing so they are equal to each other and she things are equal to the same thing no more equal to each other alright substitution is this we've already been using this if a has been a may be replaced by me in any expression we've already movie that's made sad to watch equals 7 and we substituted 7 examine the value of the expression using substitution there cheerio substitution for replacing a with B if a is they said if m is 11 preparing is 11 than 4 * 10 will be the same as 4 x 11 relating end with 11 below the best last week without using for the variables and evaluating expressions regarding been using substitution alright additive identity identity self-identify identity so what do you have to add to the number to get itself videos of Adam number to get in South Vero that's would be out of there by Haley says for the Advil to remember you get that number for example 2 + 0 2 + 2 is also too cirrhosis of the additive identity you can use the capital I with a plus to abbreviate this rather than writing it out or going to worksheet today with 20 x pressions and they're going to have to identify the correct property so that even writing additive identity you can just go capital I with a plus where that occurs on the top 20 so substitution you can use substate guys want to add that to your charge so you know how to abbreviate do you know is sub why not why why can I not just put SUV for substitution because subtraction capacity SUV so you need to go it based out today 10K substitution transitive property you can probably just put T if you want Samantha if you can probably just do like Samantha just had a snow cousin and that could be substitution subtraction reflexive I've never really given abbreviations for those three bear so additive inverse of a number when they're having is it Opposite what happens when you add a number and its opposite you get Bureau when you add a number and its opposite 3 and -3 you get zero that's how the additive inverse text if you guys want to add me too baby is on Cherry Hill table you will probably want them for your homework cuz you're going to be writing down what property goes with what expression Peg service won the inverse property Christian is 2 minus 2 equals 0 the same thing 2 - 2 doesn't chew - 2 + 2 + -2 yes yes Thursday right if they just right 2-2 that is so the additive inverse because 2-2 as means you plug the negative chip that's why I brought it up highlight X daddy we just talked about the additive identity remember identity means self what do you have to multiply a number by to get itself this one right anything times one is itself right so the multiple get in my daddy again you can use capital i resumes ocean fine says a number times 1 is that number so 14 times 1 equals 14 and 1 * 14 also call Scott Peppa Pig zero it's the multiplicative property of zero but I let you abbreviate it haha and zero I said anytime you x 0 you get so any number times 0 equal 0 the amazing home page 16 and 17 in your so if you did not fill in this table you can look on page 16 and 17 and I'm back where we started notes on 13 so we will need to well you don't have to recopy the properties because you've already written them on your thing here and you can stay with us in so really the only new thing is the equivalent expressions cuz you can staple the car when she into your notes I said that at the beginning by twice right okay just checking I'll buy you guys just wanted to do that why did again Farmers Market motor 70 happy additive inverse the multiplicative inverse Costa Rican abbreviated IMDb with the most vacation time Subway baby times be over who equal one what are those called call the DMV in a reciprocal some Converses or with several calls and then you multiply a number by an inverse or reciprocal who got one server example 4 * 4 / 5 * 5/4 what equal 20 or 20 which is one set a remote play a number by its reciprocal or inverse your product is one free cat I'm on my way to come back to commutative and associative I'm looking around and then I'll give you one to try Okay so this is example I'm going to do this mom and then I'll give you one to do and I write 7 * 20 + 4 - 3 - 1 + 5 x 1/5 and name the property in each step so little like this Subway Surf family name the property that we use as we simple fire. So the first thing you're going to do is 4 - 3 is 1 what did I just do when I 4 - 3 and replaced it with one what property did I just use that we just talked about all the properties if I replace 4-3 with one what's that called substitution I just replaced 4-3 with an equivalent expression of 1 same value hey my next stop I'm going to multiply 7 x 1 to get what property says when I multiply a number by one I get that number identity so capitalize multiplication Cialis works next time I multiply 5 and 1/5 what more what happens when I multiply a number and its inverse I get one what property is that property of multiplication but I'm going to subtract 7 - 1 and 6 so what is it called when I replace 7-1 with six substitution and now I'm going to replace 6 + 1 with 7 is also called substitution okay this one's going to be yours there's two of them the Santa right now you just have to fill in the reasons okay so there's two of them page one of my typos so just write the reason this first step is just given that's your given statement so you need a reason here here here and here the first expression is just given and then the reason for each set to simplify it just like I did at their which property is being used from one set to the next what's the part about the first go to the second step 7 + 4 * 2 with eight that is substitution they replaced 4 * 2 with 8 are those equivalent expressions yes what does replacing 4 x do with eight that is substitution what are they doing from the second step to the third step + 8 - 8 is the same as 8 plus -8 x 8 and an officer for its inverse and when you add those you get zero got your additive inverse property hey buddy video from the 3rd July right never played 3 times 3 with sticks that substitution and the last step 6 + 0 equals 6 what property says when you add zero Kevin additive identity so you can use a capital I with the plus sign okay moving on little baby from the first step to the second step substitute they replace 15/3 with v cake from the 2nd to the 3rd Stop additive and yes they added five and it's numbers to get Vevo page I actually combine two steps in this next one so you should have two responses in the next blank because I did best part 7 * 1 7 and replaced it with one and then I also did 6 x 0 and replace it with you that's two different properties what's the first one Cinemas pirate number by its reciprocal David identity Amber 7 1/7 of those inverses of each other and animals pioneer so that's inverse property of multiplication and then blood cells when they multiply a number by zero to get zero yeah and I lie desperate prom of 04 so I actually did two things in one sample so you need both reasons and then finally one says we have zero to remember get that number one plus zeros one David yes there is your identity of addition Salama worksheets 120 will not done I'm just letting you know ahead of time is rushing out of here in for not done around 2:20 or going to be just right what property is illustrated by each expression k on 21 points 123 they giving you the steps just like we just did here and you're going to fail in the property next to each staff okay so so far recovered more than half of the book shukur images, which sees me the last question here with example to after we talked it out what are the other two properties on your hand out commutative and associative properties commutative property I see the word commute what do you think of when you hear the word commute document not communicate commute there's no on there Goldberg somewhere hey so if you can remember commute needs to move kind of in a way so the numbers are moving a plus b equals B plus moving or switching is 2 + 3 equal to 3 + 2 yes we named the numbers around but the same as soda same it also works with multiplication is 3 equal to 3 * 2 yes we moved the numbers around that's the commutative Parts okay but the products are so the same the suns are still the same place work with contraction no no 1-3 is not the same thing as 3-1 came to the division no 5/2 is not the same thing is 2 / say only words with addition and multiplication so your abbreviation for commutative will be a Capital C and then you can put a plus if you use an addition animal station sign families in multiplication quesadilla severe abbreviation on the worksheet when you want to say it's a great property of addition or multiplication associative what's the word associate mean the right things right can we say blue for camper Valley View Bank call associate so can we say what did you say it was again waiting thing so you might associate somebody with the cheerleaders like many somebody says do you know who Dan is and you might say oh yes she's a cheerleader you're associating her with something okay I'm so grouping okay looping associate needs to group in a way so in the essential property itself at 8:50 the quantity of A + B + C for BV name is a pencil cardi b + C RVs in the same order ABC ABC order has not change what has changed the grouping flirt and be here they looked BMC here for the answer still be the same yes if we add 2 + 3 + 1 is it the same as 1X I need to order to be in the Barbie the same as 2 + 3 + 1 + 164 + 2 + 6 the same result don't order the numbers is the same the grouping is different pay doesn't work with notification also yeah times 3 times for or * 3 * 456 * 4 is 24 this would be 12 * 2 is 24 students sample to remember using are commutative and associative properties it says final total cost of the items using the number properties the problem in the book said that Eric is making a list of items that he needs to buy for a party and the cost the total cost of these find the total cost of these items head so he needs definitions for beverages sorry this keeps signing up we can just write this and whoops 43 my phone and 2250 we know they just need to add those together right samosky might just pick up your calculator and start adding her we can probably have done that at work Luis Alberto multiple in the third grade so I'm guessing you can add before 3rd grade so we're going to take this Saturday news on their properties we're not going to pull out our calculator and just add these together okay we're going to use them in properties commutative and associative what numbers look like they will be easy to add together the bubble James and the decorations because they have with $0.50 and we know that when you have $0.50 and $0.50 you get $5 head yeah they look at the balloons and the 3rd they are with 75 and 25 which also added $2 so what did we just now removed country associated with groups is the communitive and associative properties here we go calculator because 18 + 22 is 40 + what's $0.50 + 50 a dollar mm 9 + 53 is 62 and then $0.75 and $0.25 is $5 x 63 channel 41 and 63 is $104 okay questions on that so you're not just going to add them all up on the couch later you let me use your communitive and it properties in right out what your grouping and then you should be able to have them in today if you go to them crutchley okay here's yours wobble is buying furnishings girls first apartment he bought in the council $450 lamps for 555 5433 50s and a table for $75 find the total cost of these items is your commutative and associative properties to grill the compatible does it called compatible numbers like when you have two numbers that end with $0.50 and then $0.25 and $0.75

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Algebra Lesson 1-3 Properties of Numbers

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