Dividing numbers and expressing the answer as a decimal

Dividing numbers with a remainder

Sometimes when we divide two numbers we can get a remainder.

There are different ways of representing the answer to a division question that has a remainder.

First, though, let’s start by looking at the idea that for every fraction there is a decimal that has the same value

For example, we could say that ½ is equivalent to 0.5 or that one tenth is equivalent to 0.1.

Take a look at this equation below. Is it true or false?

Twenty three is NOT a multiple of six, so we will know that the answer will not be a whole number (integer).

Three different pupils respond with whiteboards:

The first two answers are correct but the third answer is wrong – why?

Let’s change one ninth into an equivalent decimal!

So one ninth is equivalent to zero point one recurring.

Could you write down the decimal equivalent two ninths? What about two thirds?

Fatima and six of her friends agree to share the cost of some party food they have bought to celebrate a special occasion!

The total cost of the food is £45

Fatima is correct when she says that this means they each need to pay just over £6.42 each – in fact £6.43 would be JUST OK!

We could even check this out: