Solved Examples on Even and Odd Numbers
Example 1: Tory has 5 green apples. Tory has one yellow apple more than the total number of green apples she already has. Is the total number of yellow apples and green apples Tory has an even number or odd number?
Solution:
Tory has five green apples. The number 5 can not be evenly divided by the number 2. This means that the number of green apples Tory has is an odd number.
The number of yellow apples she has is one more than the total number of green apples. In other words,
Total number of yellow apples = 5 + 1 = 6 apples
The number 6 can be evenly divided by the number 2. This means that the total number of yellow apples Tory has is an even number.
Example 2: Determine whether the following numbers are even or odd,
- 23
- 2 + 4 + 6 + 8 + 12
- 99 – 67
Solution:
Here ,23 is not divisible by 2, so it is an odd number
Sum of even numbers is 2 + 4 + 6 + 8 + 12 = 32. Since 32 is divisible by 2, it is not an odd number, so it is an even number
95 – 67 = 28. Since 28 is divisible by 2, it is not an odd number, so it is an even number
Thus, here only 23 is an Odd Number .
Example 3: How many even numbers are between 1 and 200?
Solution:
Out of all integers, half of them are even and half of them are odd. So, there are 200 integers between 1 and 200 (including 1 and 200), so half of them are odd and half of them are even.
Thus, there are 100 even number between 1 and 200.
Example 4: Find the product of all odd numbers between 1 to 10.
Solution:
The Odd numbers between 1 to 10 are 1, 3, 5, 7, and 9.
The product of all odd numbers between 1 to 10 = 1 * 3 * 5 * 7 * 9 = 945.
Thus, product of all odd numbers between 1 and 10 is 945.
Example 5: Write any 10 consecutive odd numbers between 1 and 50.
Solution:
As every other number in a continuous series of natural numbers is odd number.
So, 1, 3, 5, 7, 9, . . ., 49 is the list of all odd numbers between 1 and 50.
Thus, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 or 21, 23, 25, 27, 29, 31, 33, 35, 37, 39 are some of the examples of 10 consecutive odd numbers between 1 and 50.
Odd and Even Numbers
Even and Odd Numbers are distinct groups of whole numbers that are classed as odd or even based on specific properties. Even Numbers are those which are exactly divisible by 2 on the other hand Odd Numbers are those that are not exactly divisible by 2. The even and odd numbers are arranged alternatively in the number system. It should be pointed out that no number can be both even and odd.
There exists a significant difference between the even and the odd numbers. In this article, we will learn about what are even and odd numbers and what is the difference between odd and even numbers in detail.
Table of Content
- What are Even Numbers?
- Even Number Examples
- What are Odd Numbers?
- Odd Number Examples
- Properties of Even and Odd Numbers
- Difference between Odd and Even Number
- Tips on Even and Odd Numbers
- How to Find Even and Odd Numbers?
- Solved Examples on Even and Odd Numbers
- Practice Questions on Odd and Even Numbers
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