6 times table and division facts | Year 5 Mathematics PDF Download

Introduction

What is the 6 Times Table?

The 6 times table consists of the following multiplication facts:

Relationship with the 3 Times Table

• An interesting fact about the 6 times table is that it shares some common even multiples with the 3 times table.
• When you compare the 6 times table with the 3 times table, you can observe similarities:
• Examples:
  • 1 × 6 = 6 and 2 × 3 = 6
  • 2 × 6 = 12 and 4 × 3 = 12
  • 3 × 6 = 18 and 6 × 3 = 18
• Application in Division: Understanding the 6 times table can also help you with division problems as division is the inverse operation of multiplication.
• Inverse Operation: If 7 × 6 = 42, then 42 ÷ 6 = 7.

Understanding Fact Families

• A fact family consists of a group of numbers that are interrelated, typically forming two multiplications and two divisions.
  
• An array demonstrates this concept effectively by showcasing different combinations of numbers.
• For instance, considering the array showing 6 lots of 8 or 8 lots of 6:
  • 6 x 8 = 48
  • 8 x 6 = 48
• By understanding the multiplication facts, one can derive the inverse operations by rearranging the numbers:
  • 48 ÷ 6 = 8
  • 48 ÷ 8 = 6
  • So:
    • 6 × 8 = 48
    • 8 × 6 = 48
    • 48 ÷ 6 = 8
    • 48 ÷ 8 = 6

Example

If the product has been multiplied by 10, then one of the factors being multiplied also needs to be multiplied by 10.
Since 12 remains the same in both calculations, 6 must have been multiplied by 10 to become 60.
Therefore, 60 × 12 = 720.