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ODD NUMBER

Odd Number

Definition Of Odd Number

An odd number is a whole number that is not divisible by 2.
{1, 3, 5, 7, 9, . . . .} is the set of odd numbers.

More About Odd Number

An odd number is a whole number that is not a multiple of 2.
An odd number is a whole number that has 1, 3, 5, 7, and 9 in the ones place.

Examples of Odd Number

The following are few examples of odd numbers
27, 55, 89, 45, 99, 221, 999, 100,375

Video Examples: Even and Odd Numbers

Solved Example on Odd Number

Ques: Find the probability of getting an odd number, when a number cube is rolled.

Choices:


Correct answer: C

Solution:

Step 1: Number of favorable outcomes = number of odd numbers = 3 
Step 2: Total number of possible outcomes = numbers on the cube = 6 
Step 3: Probability (getting an odd number) = [Simplify.]

Quick Summary

  • Odd numbers are not divisible by 2.
  • Odd numbers have 1, 3, 5, 7, or 9 in the ones place.
\[ N = 2k + 1, where k is an integer \]

🍎 Teacher Insights

Use manipulatives like counters or blocks to visually demonstrate that odd numbers always have one left over when divided into pairs.

🎓 Prerequisites

  • Whole Numbers
  • Divisibility

Check Your Knowledge

Q1: Which of the following is an odd number?

Q2: Which of the following is NOT an odd number?

Frequently Asked Questions

Q: Is 0 an odd number?
A: No, 0 is an even number because it is divisible by 2.

Q: Are negative numbers odd numbers?
A: Yes, negative integers can be odd. For example, -1, -3, -5, etc.

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