Basic 4 · Mathematics · Number Operations

Multiplication Facts up to 12 × 12

In this topic you will learn and use multiplication facts up to 12 × 12.

By the end of these notes you should be able to:

  • Recall multiplication facts up to 12 × 12
  • Use patterns to remember facts
  • Use the order property of multiplication

What you already know

  • Multiples

Copy everything that has a blue line on its left into your notebook. The other parts are for reading.

Strand
Number
Sub-strand
Number Operations
Indicator
B4.1.2.1.1 – Determine basic multiplication facts up to 12 × 12

Introduction

A crate holds 12 bottles of soft drink. How many bottles are in 8 crates? Knowing 8 × 12 = 96 gives the answer quickly.

1. The Multiplication Square

The multiplication square shows all facts from 1 × 1 to 12 × 12.

A 12 by 12 multiplication square with the square numbers shaded
Figure 1: The multiplication square Copy the 6, 7 and 8 rows of the square.Illustration: Sirbus

2. Patterns That Help

Helpful patterns
TablePattern
× 2double the number
× 5ends in 0 or 5
× 9the digits add to 9 (e.g. 9 × 7 = 63, 6 + 3 = 9)
× 10add a zero
× 11for 1–9, repeat the digit (11 × 4 = 44)
× 12× 10 then add × 2 (12 × 7 = 70 + 14 = 84)

3. Order Does Not Matter

7 × 8 = 8 × 7 = 56. If you know one fact, you know two.

Hard facts to learn
FactAnswer
6 × 742
7 × 856
8 × 972
11 × 12132
12 × 12144

New words

multiply
To add equal groups quickly.
product
The answer to a multiplication.
factor
A number being multiplied.
multiplication square
A grid of multiplication facts.
square number
A number multiplied by itself, e.g. 9 = 3 × 3.
recall
To remember quickly.

Summary

  • The multiplication square shows facts up to 12 × 12.
  • Patterns like the × 9 digit sum help us remember.
  • Changing the order does not change the product.
  • 12 × 12 = 144.

Class activity: Times Table Bingo

  1. Draw a 3 × 3 grid and fill it with products from the multiplication square.
  2. The teacher calls a fact, like 7 × 6.
  3. Cross out the answer if you have it. Shout "Bingo!" for a full line.

You need: Bottle tops, Bundles of sticks, Exercise books

Exercises

Answer in your exercise book first, then check your answers.

  1. 1. 6 × 8 = ?

    • A. 48
    • B. 42
    • C. 56
    • D. 54
    Show answer
    Answer: 48Six eights are 48.
  2. 2. 9 × 12 = ?

    • A. 108
    • B. 98
    • C. 118
    • D. 96
    Show answer
    Answer: 1089 × 10 = 90, plus 9 × 2 = 18.
  3. 3. Which fact has the same product as 4 × 9?

    • A. 6 × 6
    • B. 5 × 7
    • C. 3 × 11
    • D. 8 × 4
    Show answer
    Answer: 6 × 6Both are 36.
  4. 4. 7 × 5 = 5 × 7

    • A. True
    • B. False
    Show answer
    Answer: TrueOrder does not change the product.
  5. 5. 11 × 11 = 111

    • A. True
    • B. False
    Show answer
    Answer: False11 × 11 = 121.
  6. 6. 12 × 12 = ______

    Show answer
    Answer: 144Twelve twelves.
  7. 7. A crate holds 12 eggs. How many eggs are in 9 crates?

    Show answer
    Answer: 108 eggs12 × 9 = 108.
  8. 8. Use the × 12 pattern to find 12 × 8. Show your steps.

    Show answer
    Answer: 12 × 8 = (10 × 8) + (2 × 8) = 80 + 16 = 96Split 12 into 10 and 2.

Homework

  1. Say the 7, 8 and 9 times tables to a family member.