# Year 3 maths: Counting and number patterns-Even or odd

#### What are Even Numbers?

Even numbers can be divided into two equal groups like 2, 4, 6, 8, and 10.

6 players can split into two equal groups. That’s why 6 is an even number!

### What are Odd Numbers?

Every number that isn’t even is called odd.

Odd numbers can’t be divided into two equal groups. 1, 3, 5 are all odd.

### Is it Even or Odd?

🤔 How can you tell if a number over 10 is even or odd?

👉 Look at the Ones place.

Numbers that end in 0, 2, 4, 6, and 8 are always even.

Numbers that end in 1, 3, 5, 7, and 9 are always odd.

Think about the number 13. Is it even or odd?

Since 3 is an odd number, the number 13 is odd, too.

### Rules for Adding Even and Odd Numbers

All numbers follow these 4 patterns.

Even + Even = Even
Example: 2 + 2 = 4

Odd + Odd = Even
1 + 3 = 4

Even + Odd = Odd
2 + 3 = 5

Odd + Even = Odd
1 + 2 = 3

Are these rules really true for all numbers? 🤔

Let’s try an example to see.

The rules say that adding an odd and an even number should give us an odd sum.

Let’s check:

Yes, the sum is odd!

### Rules for Subtraction

Just like with addition, there are 4 rules for subtraction. Take a look.

Even Even = Even
4 2 = 2

Odd Odd = Even
3 1 = 2

Even Odd = Odd
2 1 = 1

Odd Even = Odd
3 2 = 1

Let’s look at an example to see if these rules are true.

Based on the rules, subtracting two odd numbers should give us an even difference.

Let’s check:

Yes, we do have an even difference!

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