X Tables
Algebra Readiness

The equals sign as balance

Understand equals as 'the same value as', not 'the answer comes next'.

Quick answer

The equals sign (=) means "the same value as" – not "the answer comes next". Think of it like a balance scale: both sides must be equal for it to work.

Learning outcome

By the end of this page, you will understand that the equals sign shows two sides are equal in value, not that the answer comes after the equals sign. Success signs:
  • You can explain that 5 + 3 = 8 means 5 + 3 has the same value as 8
  • You can solve problems like 4 + ? = 9 without guessing
  • You can see that 6 + 2 = 3 + 5 is a true statement
  • You can use a balance to show that both sides are equal

Why this matters

Understanding the equals sign as balance helps you solve more complex maths problems later. It’s the foundation for algebra and makes equations easier to understand. When you think of equals as balance, you can solve puzzles like "What number makes this equation true?" instead of just calculating the answer.

How it works

Think of a balance scale:
  • When the scale is level, both sides have the same weight
  • When you add or take away weight from one side, you must do the same to the other side to keep it balanced
  • The equals sign is like the middle of the scale – it shows both sides are equal
Let’s look at how this works with numbers: Step 1: Start with a simple balance. Say you have 3 apples on one side and 3 apples on the other side. The scale is balanced because both sides have the same number. Step 2: Now, if you add 2 more apples to the left side, you must add 2 more apples to the right side to keep it balanced. Step 3: If you change one side, you must change the other side to keep it equal. Step 4: The equals sign means both sides are equal, not that the answer comes next.

Examples you can see

Let’s explore this with some examples: Example 1:
  • 5 + 3 = 8
  • This means 5 + 3 has the same value as 8
Example 2:
  • 4 + 2 = 6
  • This means 4 + 2 is the same as 6
Example 3:
  • 7 + 1 = 3 + 5
  • 7 + 1 = 8
  • 3 + 5 = 8
  • Both sides equal 8, so the equation is true
Example 4:
  • 9 = 4 + 5
  • 9 is the same as 4 + 5
Example 5:
  • 10 – 2 = 8
  • 10 – 2 has the same value as 8

Try it as a mini adventure

Imagine you are a detective solving a mystery! You have a balance scale and some clues. Clue 1: The scale is balanced with 5 blue blocks on one side and 5 red blocks on the other. Clue 2: Someone adds 3 more blue blocks to the blue side. Clue 3: To keep the scale balanced, how many red blocks must be added to the red side? Clue 4: You find a note that says: 5 + 3 = ? + 3 Clue 5: What number should go in the ? to make the equation true? Clue 6: You find a final note: 8 = 4 + ? Clue 7: What number should go in the ? to make this true?

Common mistakes

  • Mistake: Thinking 5 + 3 = 8 means the answer is 8 and that’s it. Why it happens: Children often see the equals sign as a command to "calculate the answer" instead of a symbol showing equality. Fix: Use a balance scale or draw pictures to show that both sides must be equal.
  • Mistake: Solving 4 + ? = 9 by adding 4 + 9 = 13. Why it happens: Children don’t understand that both sides must be equal. Fix: Think of the missing number as a puzzle piece. Ask: "What number makes 4 + ? equal 9?"
  • Mistake: Believing that 7 + 2 = 5 + 4 is wrong because 7 + 2 = 9 and 5 + 4 = 9. Why it happens: Children often don’t see that the equals sign shows the same value, not that the equation must be solved. Fix: Show that both sides equal 9, so the equation is true.

Parent and carer guide

Parents and carers can help by:
  • Using a physical balance or drawing one to show how both sides must be equal
  • Playing games where children must balance equations
  • Encouraging children to say "the same as" instead of "the answer is"
  • Using everyday situations like sharing snacks or counting toys to show equality
  • Reinforcing that the equals sign means "same value as", not "calculate the answer"

Practice questions

  1. Which of these is true?
    • A) 6 + 2 = 9
    • B) 5 + 3 = 8
    • C) 7 + 1 = 9
    Answer: B) 5 + 3 = 8
  2. Fill in the blank: 4 + ? = 10
    • A) 5
    • B) 6
    • C) 7
    Answer: B) 6
  3. Which equation is true?
    • A) 3 + 4 = 5 + 2
    • B) 6 + 1 = 7 + 1
    • C) 9 = 4 + 5
    Answer: C) 9 = 4 + 5
  4. Complete the equation: 8 = 3 + ?
    • A) 4
    • B) 5
    • C) 6
    Answer: B) 5
  5. Which is correct?
    • A) 10 – 2 = 8
    • B) 10 – 2 = 12
    • C) 10 – 2 = 9
    Answer: A) 10 – 2 = 8

FAQ

What does the equals sign mean?

The equals sign means that both sides of the equation have the same value.

Why is it important to understand the equals sign?

It helps you solve more complex maths problems and prepares you for algebra.

How can I practice this at home?

You can use a balance scale, draw pictures, or play games where you must balance equations.

Can I use the equals sign in subtraction?

Yes! For example, 10 – 3 = 7 means 10 – 3 has the same value as 7.

What if I see an equation like 5 + ? = 9?

You need to find the number that makes both sides equal. In this case, it’s 4 because 5 + 4 = 9.