Why maths has symbols
Show symbols as shortcuts that save words and reduce confusion.
Quick answer
Maths uses symbols like +, −, ×, ÷, =, and > because they are short cuts that help us write and understand maths problems quickly and clearly. Symbols save us from having to write out long words and help everyone understand what we mean, no matter where they are in the world.Learning outcome
By the end of this page, you will understand why we use symbols in maths and how they help us solve problems faster and more clearly. Success signs:- You can explain what a symbol means in maths.
- You can use symbols to write simple maths problems.
- You can see how symbols make maths easier to read and understand.
- You can use symbols in your own maths adventures.
Why this matters
Symbols in maths help us write and understand numbers and problems quickly. Imagine if you had to write out "plus", "minus", "equals" every time you wanted to solve a problem – it would take forever! Symbols are like a secret code that helps everyone, no matter their language, to understand maths. They are used in games, science, cooking, and even in your daily life when you count your toys or share snacks.How it works
Maths symbols are like short-hand. They are simple marks that show what to do with numbers. Let’s look at how they work:- Plus (+) means to add or join things together.
- Minus (−) means to take something away.
- Multiply (×) means to add the same number many times.
- Divide (÷) means to share or split things into equal parts.
- Equals (=) means that two sides have the same value.
- Greater than (>) shows that one number is bigger than another.
- Less than (<) shows that one number is smaller than another.
Examples you can see
Let’s look at some real examples to see how symbols help us: Example 1: Adding with +If you have 4 apples and your friend gives you 3 more, you can write this as:
4 + 3 = 7
Example 2: Taking away with −If you had 10 cookies and ate 2, you can write:
10 − 2 = 8
Example 3: Sharing with ÷If you have 12 candies and want to share them equally among 3 friends, you can write:
12 ÷ 3 = 4
Example 4: Comparing with > and <If you have 8 marbles and your friend has 5, you can write:
8 > 5 (8 is greater than 5)
5 < 8 (5 is less than 8)
Example 5: Multiplying with ×If you have 5 boxes and each box has 4 toys, you can write:
5 × 4 = 20
These examples show how symbols make it easier to understand and solve maths problems.Try it as a mini adventure
Let’s go on a maths adventure to see how symbols help in a real-life situation! Adventure: The Treasure HuntYou are on a treasure hunt and find a map with clues. Each clue has a maths problem using symbols. Clue 1: You start with 15 coins. You find 5 more coins. How many coins do you have now?
15 + 5 = 20
Clue 2: You need to divide 18 stars equally among 3 friends.18 ÷ 3 = 6
Clue 3: You have 6 bags, and each bag has 4 chocolates. How many chocolates are there in total?6 × 4 = 24
Clue 4: You need to compare how many toys you have with your friend. You have 12 toys, and your friend has 9.12 > 9
Can you solve all the clues? You’ve used many symbols to find the treasure!Common mistakes
- Mistake: Thinking that + and × are the same.
Why it happens: They are both symbols for "more", but they mean different things.
Fix: Remember: + means to join or add, while × means to add the same number many times.
- Mistake: Confusing < and > symbols.
Why it happens: The symbols look like arrows, and it's easy to mix them up.
Fix: Remember that the wide side of the symbol always points to the bigger number.
- Mistake: Forgetting that symbols are just shortcuts.
Why it happens: Symbols can feel confusing if you don’t understand what they mean.
Fix: Practice using symbols in real-life problems and connect them to what they mean.
Parent and carer guide
Parents and carers can help children understand symbols by:- Using everyday examples to explain what symbols mean, like "5 + 3 = 8" when adding toys.
- Playing games where children write simple maths problems using symbols.
- Repeating the meaning of symbols often, like "The + sign means to add", "The = sign means the same as".
- Encouraging children to draw symbols in their maths notebooks to help remember them.
- Using visual aids like number lines or counters to show what the symbols do.
Practice questions
- Write the symbol for "add" and explain what it means.
- Write the symbol for "take away" and explain what it means.
- What does 12 ÷ 4 equal?
- Which symbol means "greater than"? Write an example.
- What is 7 × 3?
- Write a problem using the symbol "=". What does it show?
- Which symbol means "less than"? Write an example.
- What does 9 + 6 equal?
- What is 10 − 5?
- How many cookies are in 4 boxes if each box has 5 cookies?
- Symbol: +. It means to join or add numbers.
- Symbol: −. It means to take away or subtract.
- 3
- Symbol: >. Example: 7 > 5
- 21
- Example: 5 + 3 = 8. The = shows that both sides are equal.
- Symbol: <. Example: 3 < 6
- 15
- 5
- 20 cookies
FAQ
Why do we need symbols in maths?
Symbols are short cuts that help us write and solve problems quickly and clearly. They are the same all over the world, so everyone can understand them.
Can I use words instead of symbols?
Yes, you can! But using symbols is faster and easier, especially for bigger problems.
What are the most common symbols in maths?
The most common symbols are + (plus), − (minus), × (multiply), ÷ (divide), = (equals), > (greater than), and < (less than).
How can I remember which symbol is which?
Think of the wide side of > and < as the "mouth" that always points to the bigger number.
Are symbols only used in maths?
No, symbols are also used in science, music, and even in computer coding. They help us show ideas quickly and clearly.