addition
Adding zero
Show why adding zero leaves a number unchanged.
Quick answer
Adding zero to any number gives you that same number. Zero is like a magic number that doesn't change anything.Learning outcome
By the end of this page, you will understand that adding zero to any number does not change its value. Success signs:- You can explain why 5 + 0 = 5
- You can show that 0 + 7 = 7
- You can solve addition problems with zero
- You can think of real-life examples where zero doesn't change a total
Why this matters
Adding zero might seem like a silly thing to do, but it's actually very important in maths! It helps us understand how numbers work, and it's the foundation for more complicated maths later on. When you're adding numbers together, you can always add zero without changing the answer. This is useful when you're solving problems or checking your work. It also helps when you're using a number line or counting objects. In games and real life, you'll see zero used a lot. For example, if you're sharing cookies with your friends and you have 5 cookies, and you add 0 more cookies, you still have 5 cookies. Zero can also help you understand bigger numbers and how they relate to each other.How it works
Let's think about what happens when we add zero to a number. Step 1: Start with any number. For example, let's use 3. Step 2: Add zero to it. So we write: 3 + 0 Step 3: Count the total. We have 3 things, and we're adding 0 more things. So we still have 3 things. Step 4: The answer is 3. We can show this with objects. If you have 3 toy cars and you add 0 more toy cars, you still have 3 toy cars. It's like adding nothing to something – it doesn't change how many you have. We can also show it on a number line. If you start at 3 and move 0 steps forward, you're still at 3. No matter how many steps you take, if you take zero steps, you don't move at all.Examples you can see
Let's look at some examples to help you understand better. Example 1: 4 + 0 = 4 Imagine you have 4 apples. If you add 0 more apples, how many apples do you have? Still 4 apples! Example 2: 0 + 9 = 9 If you have 0 toy bricks and you get 9 more toy bricks, how many toy bricks do you have? You have 9 toy bricks. Example 3: 12 + 0 = 12 Think about it like this: you have 12 marbles. You don't get any more marbles. How many marbles do you have now? Still 12 marbles. Example 4: 0 + 0 = 0 If you have 0 cookies and you get 0 more cookies, how many cookies do you have? Still 0 cookies. Let's make a table to show this pattern:| Number | + 0 | Answer |
|---|---|---|
| 0 | + 0 | 0 |
| 1 | + 0 | 1 |
| 2 | + 0 | 2 |
| 3 | + 0 | 3 |
| 4 | + 0 | 4 |
| 5 | + 0 | 5 |
| 6 | + 0 | 6 |
| 7 | + 0 | 7 |
| 8 | + 0 | 8 |
| 9 | + 0 | 9 |
| 10 | + 0 | 10 |
| 11 | + 0 | 11 |
| 12 | + 0 | 12 |
Try it as a mini adventure
Let's go on a treasure hunt adventure! Adventure: The Magic Number Hunt You are on a treasure hunt. You start with a certain number of gold coins. The treasure map says you must collect more coins, but there's a magic rule: you can only collect 0 coins from each location. Wherever you go, you must follow this rule. 1st location: You start with 5 coins. You collect 0 more coins. How many coins do you have now? Answer: 5 + 0 = 5 coins 2nd location: You have 8 coins. You collect 0 more coins. How many coins do you have now? Answer: 8 + 0 = 8 coins 3rd location: You have 11 coins. You collect 0 more coins. How many coins do you have now? Answer: 11 + 0 = 11 coins 4th location: You have 0 coins. You collect 0 more coins. How many coins do you have now? Answer: 0 + 0 = 0 coins 5th location: You have 3 coins. You collect 0 more coins. How many coins do you have now? Answer: 3 + 0 = 3 coins You've learned that no matter where you go, collecting 0 coins always leaves you with the same number of coins you started with!Common mistakes
Some children make a few common mistakes when adding zero. Let's look at them and how to fix them. Mistake 1: Thinking that 0 + 5 = 0 Why it happens: Some children think that because 0 is a small number, it makes the answer small too. Fix: Remember that 0 means "nothing". When you add nothing to 5, you still have 5. Mistake 2: Thinking that 7 + 0 = 70 Why it happens: Some children might think that adding 0 makes the number longer or bigger. Fix: Adding zero means you don't add anything. The number stays the same. Mistake 3: Forgetting that 0 + 0 = 0 Why it happens: When you have 0 of something and add 0 more, it can be confusing. Fix: If you have nothing and get nothing, you still have nothing.Parent and carer guide
Adding zero is a simple concept, but it's important for building strong maths foundations. Here's how you can help your child understand this idea: What to say:- "Adding zero is like adding nothing. It doesn't change the number."
- "If you have 5 toys and I give you 0 more toys, how many toys do you have?"
- "Try counting with your fingers or using objects like coins or blocks."
- Does your child understand that 0 means "nothing"?
- Are they getting confused about the order of numbers in addition?
- Do they need to see the concept with real objects?
- Use everyday examples like: "You have 3 crayons, and you get 0 more crayons. How many crayons do you have now?"
- Draw pictures showing groups of objects and then adding 0 more.
- Practice with a number line, moving 0 steps forward or backward.
- Your child might be confused at first. This is normal!
- It's okay if they need to practice a few times.
- Don't rush. Let them explore the idea at their own pace.
Practice questions
Here are some questions to try:- What is 6 + 0?
- What is 0 + 12?
- What is 9 + 0?
- What is 0 + 3?
- What is 10 + 0?
- 6 + 0 = 6
- 0 + 12 = 12
- 9 + 0 = 9
- 0 + 3 = 3
- 10 + 0 = 10
FAQ
Why does adding zero not change a number?
Adding zero is like saying "I'm adding nothing." If you have 5 apples and you add 0 more apples, you still have 5 apples. Zero means "nothing" so it doesn't change the total.
Can I add zero to any number?
Yes! You can add zero to any number, whether it's 1, 10, 100, or even a million. The answer will always be the same number.
Is adding zero the same as subtracting zero?
Yes! Adding zero and subtracting zero both leave the number unchanged. For example, 5 + 0 = 5 and 5 - 0 = 5.
What happens if I add a number and then subtract zero?
If you add a number and then subtract zero, you still get the same number. For example, 4 + 3 = 7, and then 7 - 0 = 7.
Is zero the same as nothing?
Yes, in maths, zero means "nothing." It's like having no apples or no toys. When you add zero, you're adding nothing, so the number stays the same.