11/8/2023 0 Comments Even numbers definition![]() Yes! 0 is an even number since it can be written as 0 = 2 × 0. In the picture below, we can see the even numbers: -8, -6, -4, -2, 0, 2, 4, 6, 8 and 10. We can recognize even numbers in the number line as well, where they are located alternately. Also, the value of k can be negative for example, if k= -7 then -14 = 2 × (-7) is an even number. In fact, we get an even number for each value of k.įor example, if k = 25 then 50 = 2 × 25 is even. Look at the examples before: 10 = 2 × 5, thus k = 5 and 36 = 2 × 18, thus k = 18 in this case. How to recognize even numbers?įirst of all, since any even number has 2 as one of its factors, any even number is of the form Can we see the pattern in these expressions? Let’s discuss that next. Like what happened with the starfishes: 2 is not a factor of 3, thus 3 is odd, it is not even! In other words, an integer number is odd if 2 is not one of its factors. What happens when the remainder is 1? Well, in that case, we say that the number is odd. We know that when an integer number is divided by 2, there are two possible remainders: 0 or 1. Also, 4 = 2 × 2, then if we divide 4 into 2 parts, each part will have 2 elements. This quotient corresponds to the number of fishes in each equal part. Like in the ocean example: 6 = 2 × 3 meaning that when we divide 6 by 2, we get 3 as a quotient. Or, equivalently, an integer number is even if 2 is one of its factors. That is how we call the numbers that are not even: they are odd numbers.īy the way, 4 is also an even number! To convince ourselves, try to split the set of 4 sea horses into two equal parts: as below, each part has 2 sea horses.įormally, we say that an integer number is even if, when divided by 2, we get 0 as a remainder. In other words, when we split the 3 starfishes into two parts, they seem “odd” because they don’t look harmonious or balanced. Thus, 3 is not an even number, because it cannot be split into two equal parts. What about the number of starfishes? Is it even? Well, if we split the group of 3 starfishes into two subgroups, we will always get one more star in one of the subgroups, as shown below. It means that 6 (the number of fishes) is an even number because it can be split into two groups of size 3 each. Let’s imaging a group of sea animals somewhere in the deep ocean… Just like in the picture!Ĭan we split the group of fishes into two subgroups of equal size? Yes, we can! As in the picture below. Intuitively, we think of an even number as a number that can be split into two equal parts. Also, there are plenty of things around us that come in even numbers: a butterfly has 2 wings, a car has 4 wheels, we have 10 fingers, just to mention some.īut how are the even numbers defined? and which are their main properties? That’s what we are about to discover. For example, when counting big amounts of objects so that we can go fast by counting two at a time. How high can you count just by even numbers? You can use the number chart below to help you. ![]() When you count just the even numbers starting with zero, you are Skip-Counting by Two. ![]() The even numbers are shaded in different colors. You can always create two equal groups out of an even number of objects!Įven numbers are easy to spot because they end in… Hence, 34 is an even number.Even numbers are amounts that can be exactly divided by two. The number breaks in equal parts as well. Iii) 34 is an even number as its last digit, 4 is an even number. The number breaks into equal parts as well. Ii) 22 is an even number as its last digit, 2 is an even number. The number doesn’t break into equal parts as well. I) 17 is not an even number as its last digit, 7 (ones place) is not an even number. Hence, Alexis can distribute 16 candies equally between her two friends.Įxample 3: Are the following numbers even or odd? So, 16 candies can be divided equally into two parts. Can she distribute them equally between her friends?ġ6 is an even number. So, the number represented by the model, 11, is an odd number.Įxample 2: Alexis bought 16 candies for her two friends. Example 1: In the following model, identify whether the number of blocks represents an even number or an odd number.Īs we can see, the model has two parts, one with 6 cubes and the second with 5 cubes.
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