Learn Even & Odd Numbers
With Ease
Numbers are everywhere around us, and they can be fascinating to learn about. In the world of mathematics, numbers can be classified and grouped into different categories, such as even and odd numbers. In this article, we will embark on a thrilling adventure to explore even and odd numbers, understand how to identify them, and uncover some intriguing properties they possess. So, get ready to dive into the magical world of numbers!
Learn Even & Odd Numbers
With Ease
Numbers are everywhere around us, and they can be fascinating to learn about. In the world of mathematics, numbers can be classified and grouped into different categories, such as even and odd numbers. In this article, we will embark on a thrilling adventure to explore even and odd numbers, understand how to identify them, and uncover some intriguing properties they possess. So, get ready to dive into the magical world of numbers!
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Learn Even & Odd Numbers with Smartick
What is an Even Number?
What is an Odd Number?
How do we identify these numbers?
Fascinating Properties of an Even Number
Solved Examples of Even & Odd Numbers
What is an Even Number?
Let’s start our journey by understanding what an even number is. An even number is a whole number that can be divided into two equal parts, without leaving any remainder. The number 2 is the smallest even number. As we count upwards, we encounter numbers like 4, 6, 8, 10, and so on. Notice how these numbers can be divided into two equal groups of two, four, six, eight, and ten objects each, respectively. That’s what makes them even!
What is an Odd Number?
Now that we know about even numbers, it’s time to explore their counterpart: odd numbers. Unlike even numbers, odd numbers cannot be divided into two equal parts. When an odd number is divided by 2, it always leaves a remainder of 1. The number 1 is the smallest odd number, followed by 3, 5, 7, 9, and so forth. Odd numbers have a unique quality that makes them stand out from even numbers.
How do we Identify Even and Odd Numbers?
Identifying even and odd numbers is quite simple! All we need to do to identify odd one is divide the number by 2 and observe the remainder. If the remainder is 0, the number is even. Conversely, if the remainder is 1, the number is odd. For example, let’s take the number 10. When we divide 10 by 2, we get 5 with no remainder, making it an even number. On the other hand, if we divide 15 by 2, we get 7 with a remainder of 1, indicating that it is an odd number. By following this method, we can easily determine whether a number is even or odd.
Properties of Odd Numbers and Even Numbers
Odd and even numbers are fundamental concepts in mathematics and have given number of distinct properties that set them apart. Let’s delve into the key characteristics of these two categories.
Even Numbers: By definition, an even number is any integer that can be exactly divided by 2 without leaving a remainder. This means that when an even number is divided by 2, the result is another whole number. The series of even numbers starts with 2, followed by divisible by 2, 4, 6, 8, and so on. A crucial property of even numbers is that when you add or subtract two of them, the result is always even. Additionally, when multiplied, even numbers yield an even product. For example, 4 + 6 = 10 and 4 × 6 = 24; both results are even.
Odd Numbers: Contrarily, an odd number cannot be evenly divided by 2. Instead, division by 2 will result in a remainder of 1. Beginning with 1, the sequence of odd numbers continues with 3, 5, 7, and so forth. When you combine two odd numbers, either through addition or subtraction, the result is invariably even. Interestingly, while the product of two odd numbers remains odd, if you multiply an odd number by an even number, the outcome is always even. Take the operations 5 + 7 = 12 (even) and 5 × 7 = 35 (odd) as examples.
A noteworthy point is that zero (0) is classified as an even number, given that it meets the condition of divisibility by 2. Understanding the properties of odd and even numbers aids in various mathematical operations and problem-solving scenarios. For instance, it becomes easier to predict the parity (odd or even status) of the result when performing arithmetic. Moreover, many mathematical patterns, puzzles, and theorems revolve around these two categories of numbers, making their understanding pivotal in the realm of mathematics. As with many concepts in math, familiarity and regular practice with the concept of even and odd numbers will further reinforce their properties and applications in different contexts.
Fascinating Properties of an Even Number
Even numbers possess some fascinating properties that make them special. Here are a few examples:
Even + Even = Even: When you add two even numbers together, the result will always be an even number. For instance, 4 + 6 = 10, which is also an even number.
Even x Even = Even: If you multiply two even numbers, the product will also be an even number. For example, 2 x 8 = 16, which is an even number.
Even x Odd = Even: When you multiply an even number by an odd number, the result will always be an even number. Let’s take 4 x 3 = 12, which is an even number.
Solved Examples of Even & Odd Numbers
Now, let’s practice our understanding of the difference between even and odd numbers with a few solved examples:
- Example 1: Is 25 an even or odd number?
When we divide 25 by 2, we get 12 with a remainder of 1. Therefore, 25 is an odd number.
- Example 2: Is 14 an even or odd number?
Dividing 14 by 2, we get 7 with no remainder. Hence, 14 is an even number.
- Example 3: What is the sum of 2 even numbers?
Let’s add 6 and 10. Their sum is 16, which is also an even number.
FAQ of Odd and Even Numbers
What are the odd and even numbers?
In addition all numbers have a 2nd and last digit, minus a remainder. There is zero, four, six or eight. Odd numbers aren’t equally divided by 2 and end with 1, 3, 5, 7, or 9.
Is 12 both even and odd?
Twelve is equal to one.
What are the odd even numbers from 1 to 100?
Even Odd Numbers 1 to 100 The list of pairs of odd numbers from 1 to 100 is given as the following: 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 – 37.
Is 63 odd or even?
64 is a strange number which contains six elements.
What is called odd number?
Odd numbers ending a number is a number which is not equal to 2 or even two. This integer does not have to come in equal parts as two integers. If we multiply two odd numbers, it leaves one more. Example: odd numbers are 1, 3, 5, 7, etc.
See How Smartick Helps Your Kids to Learn Even & Odd Numbers
Smartick’s built-in gamification makes math feel fun. Making learning fun helps kids avoid burnout. Plus, they’ll develop stronger habits and a broader love of learning.
