3.12 Multiples
Are you ready?
Remember how we found that multiplication is the same as repeated addition?
Examples
Example 1
Write this addition as a multiplication: 3+3+3+3+3+3
We can rewrite repeated addition as a multiplication in the form: \text{Number of groups}\times\text{amount in each group}
Multiples
We're going to think about the relationship between repeated addition and the times tables, using a number line to help us understand multiples.
Exploration
Drag the sliders to find the first 12 multiples of any numbers between 1 and 12.
We can use our times tables to find multiples of a number. For example, the 6th multiple of 5 is 6\times 5=30.
Examples
Example 2
Write down the 7th multiple of 3.
A multiple is the result of a number being multiplied by an integer.
A common multiple is a multiple of more than one number.
The lowest common multiple is the first multiple that is common to two numbers.