Grade 3 Math: Even and Odd Numbers

Once in the bustling city of Mathington, there were two quirky houses standing side by side. In the first house, lived the Even family – Emily, Ethan, and their adorable pet parrot, Evan. Next door, in the second house, resided the Odd family – Olivia, Oscar, and their mischievous cat, Ollie. The Even family’s house had perfectly symmetrical windows and doors, while the Odd family’s house had a unique, twisted chimney that always attracted attention.

Understanding the Concept

In Mathington, every house had a number, with the Even family living in even-numbered houses, and the Odd family living in odd-numbered houses. The concept of even and odd numbers is quite simple – it’s all about checking the last digit of a number. If the last digit is 0, 2, 4, 6, or 8, it’s an even number. If the last digit is 1, 3, 5, 7, or 9, it’s an odd number.

Here’s a table to help you understand even and odd numbers better:

| Number | Even/Odd |
|——–|———-|
| 2 | Even |
| 5 | Odd |
| 10 | Even |
| 17 | Odd |

Let’s visualize the difference between even and odd numbers with a chart:

Imagine a number line stretching from 0 to 20, with each number marked as even or odd. Even numbers will have a blue color, while odd numbers will be marked in red.

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Key Concepts Explained

To determine if a number is even or odd, you only need to look at the last digit. Let’s take a few examples to understand this better:

1. Example 1: Is 24 an even or odd number?

   To find out, we check the last digit, which is 4. Since 4 is in the list of even digits, 24 is an even number.

2. Example 2: How about 39? Even or odd?

   Looking at the last digit 9, which is in the list of odd digits, we can conclude that 39 is an odd number.

Let’s look at a table showing the patterns of even and odd numbers:

| Number | Last Digit | Even/Odd |
|——–|————|———-|
| 14 | 4 | Even |
| 21 | 1 | Odd |
| 36 | 6 | Even |
| 47 | 7 | Odd |

Another way to understand even and odd numbers better is through a chart showing the frequency of each type of number within a given range.

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Common Mistakes to Avoid

One common mistake is to confuse the concepts of even and odd numbers. Remember, even numbers end in 0, 2, 4, 6, or 8, while odd numbers end in 1, 3, 5, 7, or 9. So, always check the last digit to determine if a number is even or odd.

Summary and Key Takeaways

Understanding even and odd numbers is as simple as checking the last digit of a number. Even numbers have digits 0, 2, 4, 6, or 8 at the end, while odd numbers have digits 1, 3, 5, 7, or 9. Remember to look at the last digit and you’ll easily distinguish between even and odd numbers.