X Tables
Times Table Methods

Historical multiplication tables

Explore ancient and old-school tables, from clay tablets to printed school charts.

Quick answer

Historical multiplication tables show how people have multiplied numbers for thousands of years, using methods like repeated addition, ancient tools, and even clay tablets. These old ways help us understand how multiplication works today.

Learning outcome

By the end of this page, you will understand how multiplication was done in the past and how it connects to the multiplication tables you learn today. Success signs:
  • You can explain how ancient people used repeated addition to multiply
  • You can name at least one historical way people multiplied numbers
  • You can show how a multiplication table works using objects or drawings
  • You can solve a multiplication problem using a method from history

Why this matters

Understanding how multiplication worked in the past helps you see why it works the way it does now. It also shows how people in ancient times solved problems without calculators or computers. Learning about historical methods can make multiplication more fun and interesting, and help you remember your tables better.

How it works

Multiplication has been around for thousands of years. Ancient people didn't have the multiplication tables we know today. Instead, they used simple methods like:
  • Repeated addition
  • Counting on their fingers or using objects
  • Using special tools like the abacus
  • Writing numbers on clay tablets or papyrus
These methods helped people figure out how many items there were when they had equal groups.

Examples you can see

Let's look at how ancient people might have worked out 3 × 4. Method 1: Repeated addition Instead of thinking "3 times 4", ancient people might think "What is 3 + 3 + 3 + 3?" 3 + 3 + 3 + 3 = 12 Method 2: Using objects Imagine you have 3 groups of 4 apples. Group 1: 4 apples Group 2: 4 apples Group 3: 4 apples Total: 12 apples Method 3: Ancient Egyptian method The ancient Egyptians used doubling. To find 3 × 4: - Start with 1 × 4 = 4 - Double it: 2 × 4 = 8 - Add the 1 × 4 and 2 × 4: 4 + 8 = 12

Try it as a mini adventure

Adventure: The Ancient Market You are an ancient trader in Egypt. You need to buy 5 bags of grain, and each bag costs 6 gold coins. How much do you need to pay? Step 1: Draw 5 bags. Step 2: Put 6 coins in each bag. Step 3: Count all the coins. Step 4: Use repeated addition: 6 + 6 + 6 + 6 + 6 = ? Step 5: You need 30 gold coins. Try this with different numbers: - 4 × 3 = ? - 2 × 7 = ? - 6 × 2 = ?

Common mistakes

  • Mistake: Thinking that multiplication always means making bigger numbers. Why it happens: Children might think that multiplying means adding, and adding always makes bigger numbers. Correct answer: Multiplying by 1 gives the same number (like 5 × 1 = 5). Multiplying by 0 gives 0 (like 5 × 0 = 0).
  • Mistake: Mixing up multiplication and division. Why it happens: Both involve numbers and can be confusing when you're just starting out. Correct answer: Multiplication means equal groups. Division means sharing equally.
  • Mistake: Not understanding that 3 × 4 is the same as 4 × 3. Why it happens: The order might seem confusing at first. Correct answer: This is called the commutative property. 3 × 4 = 12 and 4 × 3 = 12.

Parent and carer guide

Parents and carers can help by:
  • Playing the ancient market game with your child using coins or small objects
  • Discussing how multiplication is used in daily life, like when you buy 3 bags of 4 apples
  • Encouraging children to draw arrays or use fingers to understand multiplication
  • Practising the multiplication tables using historical methods like repeated addition
  • Reading stories about ancient cultures and how they used maths
Remember: Don't worry if your child makes mistakes. They're part of learning! Focus on understanding the concept, not just getting the right answer.

Practice questions

  1. What is 3 × 4 using repeated addition?
  2. Draw 4 groups of 5 objects and count them.
  3. How would the ancient Egyptians find 2 × 6?
  4. What is 7 × 0?
  5. Use the ancient method to find 5 × 3.
Answers:
  1. 3 + 3 + 3 + 3 = 12
  2. 20 objects (4 groups of 5)
  3. 1 × 6 = 6, 2 × 6 = 12
  4. 0
  5. 1 × 3 = 3, 2 × 3 = 6, 3 × 3 = 9, 4 × 3 = 12, 5 × 3 = 15

FAQ

What did ancient people use to multiply numbers?

They used methods like repeated addition, counting on fingers, using objects, and tools like the abacus.

How did the ancient Egyptians multiply?

They used a method of doubling and adding. They would double numbers to find the answer.

Why do we still learn multiplication tables?

They help us multiply quickly and easily, especially when we need to solve bigger problems.

Can I use repeated addition instead of times tables?

Yes! Repeated addition is a good way to understand multiplication, especially when you're starting out.

What is the difference between ancient and modern multiplication?

Modern multiplication uses quick methods and tables. Ancient methods took longer but helped people understand what multiplication really means.