![]() Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially Your Infringement Notice may be forwarded to the party that made the content available or to third parties such Means of the most recent email address, if any, provided by such party to Varsity Tutors. Infringement Notice, it will make a good faith attempt to contact the party that made such content available by If Varsity Tutors takes action in response to Information described below to the designated agent listed below. ![]() Or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one ![]() Similarly, since we already stated that a squared value may still be odd, we cannot be sure that squaring the y will also result in an even number. ![]() We cannot add 1 to a random variable y as it may still result in an odd y-value. To ensure that the y itself is even, we must also double it to "2y"( 2). The only situation in which the "y 2" term is even is if the y itself is even, since an odd number squared always results in an odd value (e.g. The only situation in which the operation "4x – y 2" will be even is if the "y 2" term is also even, since an even minus an odd would be odd. In this situation, we know that due to the "*2 (= 2 * 2)" principle, the 4x component always being an even value. In this situation, we have to ensure that an arithmetic operation (subtraction) must result only in an even number, by further ensuring that the variables themselves are fixed to either odd or even values. 2 * 2 = 4 3 * 2 = 6), or an odd number multiplied by another odd is always even. We do not know what the values for x and y are, but we do know for example that any two numbers added can be either even or odd, and and any number multiplied by two must be even (e.g. And we are done.For this problem, we must recognize under what arithmetic conditions an even or odd number is produced. So that tells me, because I cannot divide it into two equal groups Monkeys in this top group and six monkeys in this bottom group. Six monkeys in the top group and seven monkeys in the bottom group. Well, let's try to divide these 13 monkeys into two equal groups. Is 13 an even or an odd number? Pause this video and think about it. All right, now, whatĪbout these monkeys here? How many monkeys do we have? One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13. So no matter how hard you try, you can't, assuming you're not cutting up a seal, you're not going to What if I did it like this? Now, I have eight on topĪnd seven on the bottom. But maybe I could do something like this. I have six in the topĪnd nine in the bottom. Seals here in the bottom than I have here in the top. So if I tried to split it like that, that is clearly not equal. So we're really thinking about is 15 an even number or an odd number? Well, let's try to split Two, three, four, five, six, seven, eight, nine,ġ0, 11, 12, 13, 14, 15 seals that we are dealing with. Seals right over here? Do we have an even number of seals or an odd number of seals? Pause this video and think about that. You can't split those fiveīeavers into two equal groups. So I would say, that five is an odd number. But now, I have three in the first group and two in the second group. Well, now, I have two beavers here and three beavers over there. All right, let's see if we can split these five beavers into two equal groups. Is five an even number or an odd number? Pause the video and try to think about it. All right, let's go to theseīeavers right over here. I could have two equal groups of one each. Is two an even number or an odd number? Well, just like we said just now, in order for it to be an even number, I have to be able to split ![]() Penguins right over here? I have two penguins. Is the number of turtles that I have right over here. To just split it like that, I would have two groups of four. All right, so let's see if we can split this number of turtles Do we have an even number of turtles or an odd number of turtles? Pause this video and So with that understanding ofĮven numbers and odd numbers, let's look at theseĪnimals and think about whether we have an even number of each of those animals or an odd number. And odd numbers are numbers that cannot be split into two equal groups. Even numbers are numbers that can be split into two equal groups. Video, we're gonna learn a little bit about even ![]()
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