Sometimes you will see a calculation written in the form \({\text{8 - (2 x 3)}}\) , where brackets, that is the symbols \((\) and \()\), are put around part of the calculation.

Brackets are there to tell you to carry out the calculation inside them first. So \({\text{8 - (2x3 ) = 8 - 6 = 2}}\).

If you had to find the answer to \({\text{8 }} + {\text{ 5 }} - {\text{ 3}}\) , you might wonder whether to do the addition first or the subtraction first.

If you do the addition first, \({\text{8 }} + {\text{ 5}} - {\text{ 3 }} = {\text{ 13}} - {\text{ 3 }} = {\text{ 1}}0\).

If you do the subtraction first, \({\text{8 }} + {\text{ 5}} - {\text{ 3 }} = {\text{ 8 }} + {\text{ 2 }} = {\text{ 1}}0\) .

In this case, it makes no any difference which operation you do first.

If, however, you had to find the answer to \({\text{3 }} + {\text{ 4x2}}\) , your answer will depend on whether you do the addition first or the multiplication first.

If you do the addition first, \({\text{3 }} + {\text{ 4x 2 }} = {\text{ 7x 2 }} = {\text{ 14}}\).

If you do the multiplication first, \({\text{3 }} + {\text{ 4x 2 }} = {\text{ 3 }} + {\text{ 8 }} = {\text{ 11}}\).

To avoid confusion, mathematicians have decided that, if there are no brackets, multiplication and division are carried out before addition and subtraction.

Such a rule is called a **convention**: clearly the opposite decision could be made, but it has been agreed that the calculation \({\text{3 }} + {\text{ 4x 2}}\) should be carried out as \({\text{3 }} + {\text{ 4x 2 }} = {\text{ 3 }} + {\text{ 8 }} = {\text{ 11}}\).

There are a number of these conventions, often remembered by the word '**BoDMAS**', which stands for:

- Brackets
- Divide
- Multiply
- Add
- Subtract

This is the order in which arithmetic operations must be carried out.

Most calculators have the 'BoDMAS ' convention programmed into them, and so automatically carry out operations in the correct order.

Below you can **download** some** free** math worksheets and practice.

Evaluate each expression.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch bellow how to solve this example:**

Evaluate each expression.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch bellow how to solve this example:**

Evaluate each using the values given.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch bellow how to solve this example:**