In this activity, we will learn how putting brackets in different places gives different answers.

Remember that with a string of operations, they must be done in the following order:

Brackets

Powers or indices

Division

Multiplication

Adding and subtracting

Remember BIDMAS or BODMAS

__Example__

3 + 5 × 6 - 2 × 3 + 4

There are no brackets, powers or division, so the first thing to do is** multiplication.**

5 x 6 = 30 and 2 x 3 = 6

We can now insert those two answers back into the original calculation:

3 + 30 - 6 + 4

Now we** add and subtract:**

3 + 30 = 33 and -6 + 4 = -2

33 - 2 =** 31**

**If we put brackets in different places, we will get a different answer.**

(3 + 5) × 6 - 2 × (3 + 4)

Do the **brackets** first: 3 + 5 = 8 and 3 + 4 = 7

Insert those two answers back into the original calculation:

8 x 6 - 2 x 7

Then** multiply**:

8 x 6 = 48 and 2 x 7 = 14

Insert them back into the calculation:

48 - 14 and finally** subtract**:

48 - 14 = **34**

So, can you see that exactly the same numbers and signs can give you a completely different answer if brackets are added to the calculation?