# Even and Odd Numbers

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## Even and Odd Numbers

Odd numbers and even numbers can be identified by one key difference; if you were to pair off numbers with counters, an odd number always has one left over, and an even number will always have none left over. This is the easiest way of teaching odd and even numbers.

## Recognising Odd and Even Numbers

Which are odd and even numbers? Even numbers are numbers that end in zero, two, four, six, and eight!

Odd numbers are numbers that end in one, three, five, seven, and nine!

## Even and Odd Numbers – Example

We can identify odd and even numbers by following some steps. Let’s use the number nine for example. First, we gather up counters to match the number nine.

Next, pair off the counters until no more pairs remain.

Finally, we can identify if the number is even or odd. Nine is odd, because we have one counter left after we paired off all of the counters.

## Recognising odd and even numbers

In this text on investigating odd and even numbers, we learnt about the definition of even and odd numbers as well as how to find odd and even numbers by using counters to identify them. You can also remember that numbers ending in zero, two, four, six, and eight are even numbers, and that numbers ending in one, three, five, seven, and nine are odd numbers.

Even Numbers Odd Numbers
0 → (10, 20, 30, ...) 3 → (3, 13, 23, …)
2 → (2, 12, 22, ...) 5 → (5, 15, 25, ...)
4 → (4, 14, 24,...) 7 → (7, 17, 27, ...)
6 → (6, 16, 26, ...) 9 → (9, 19, 29, …)
8 → (8, 18, 28, ...)

After watching the video you will find activities for finding odd and even numbers including odd and even numbers worksheets for KS1.

### TranscriptEven and Odd Numbers

It really is a beautiful day for Skylar and Henry to be playing rugby outside! “Hey Henry, you’re odd!” “Wow, okay. That’s not very nice, Skylar.” “No, I mean your number, it’s odd!” “Oh, okay. But how do you know?” Let's learn how to identify "Even and Odd Numbers" with Skylar and Henry. All whole numbers can be identified as odd or even by the digit in the ones place. If the ones place digit is zero, two, four, six, or eight, it is even! If the ones place digit is one, three, five, seven, or nine, it is odd! Another way to identify even and odd numbers is the pairing strategy! First, read the number shown. We see a FOUR here. Then, "Gather the correct amount of objects", matching the number. For the number four, we need FOUR objects. Next, "Pair up the objects" in sets of twos, until no more pairs remain. We will pair TWO objects here, and another TWO here. Finally, "Identify if the number is even or odd". If NO objects remain, the number is EVEN. If ONE object remains, the number is ODD. Let's practice now with Henry's shirt number! First, read the number, which is NINE. This means we need to gather NINE objects. Now pair off the objects until no pairs remain. Is this number even, or odd? It is ODD because ONE object remains. Skylar was right, Henry's number nine shirt IS odd! Now let's identify Skylar's shirt number. First, read the number. What is Skylar's number?

Skylar's number is TWELVE. We need to gather TWELVE objects. What is the next step?

The next step is to pair off objects until no more pairs remain. Is Skylar's number even or odd?

It is EVEN because NO objects remain. Skylar's number twelve shirt is EVEN! Before we rejoin Skylar and Henry, let's review. Remember, to identify if a number is even or odd, first, "Read the number" shown. Then, "Gather the correct amount of objects", matching the number. Next, "Pair up the objects" in sets of twos, until no more pairs remain. Finally, "Identify if the number is even or odd".

"Okay Henry, ready when you are!"

"Whoa!"

"I'm so sorry, Henry!" "That's okay, Skylar. That IS a beautiful butterfly!"

## Even and Odd Numbers exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Even and Odd Numbers.
• ### Which numbers are even?

Hints

If there is one dot without a pair, the number is odd.

If all the dots have a pair, then the number is even.

This number is even, since all the dots have a pair.

Solution

4 and 6 are both even numbers because each dot has a pair with none left over.

• ### Are the numbers even or odd?

Hints

Pair up the rugby balls to help you figure out whether the number is even or odd.

If there is one rugby ball without a pair, the number is odd.

If all the rugby balls have a pair, then the number is even.

This number is odd, since one dot doesn't have a pair.

Solution

8 and 4 are even numbers because each rugby ball has a pair with none left over.

5 and 7 are odd numbers because there is one rugby ball without a pair.

• ### Even or odd?

Hints

Pair up the dots to help you figure out whether the number is even or odd. If there aren't any dots to pair up, you can draw dots and pair them up.

If there is one dot without a pair, the number is odd.

If all the dots have a pair, then the number is even.

Solution

9, 3, and 5 are odd because there is one dot without a pair.

10, 2, and 8 are even because each dot has a pair with none left over.

• ### Even or odd?

Hints

Pair up the dots to help you figure out whether the number is even or odd. If there aren't any dots to pair up, you can draw dots and pair them up.

If there is one dot without a pair, the number is odd.

If all the dots have a pair, then the number is even.

3 numbers shown are even and 3 are odd.

Solution

5, 11, and 1 are odd numbers highlighted in blue because there is one dot without a pair.

10, 8, and 6 are even numbers highlighted in green because each dot has a pair with none left over.

• ### Is this number even or odd?

Hints

If all the dots have a pair, then the number is even.

If there is one dot without a pair, the number is odd.

This number is odd because there is one dot without a pair.

Solution

7 is odd because there is one dot without a pair.

• ### Even or odd?

Hints

Look at the ones place to help you decide if the number is even or odd.

Draw dots and pair them up to help you figure out whether the number is even or odd.

If there is one dot without a pair, the number is odd.

If all the dots have a pair, then the number is even.

Solution

12, 14, and 16 are even numbers because each dot has a pair with none left over.

9, 13, and 15 are odd numbers because there is one dot without a pair.