Recall the “Order of Operations” by working through these following expressions to give one numerical answer. This exercise is to refresh your knowledge on “Order of operations” and you should not use a calculator, this exercise is for your benefit!

4 x 3 - 9

Firstly, recall the method for “Order of Operations” B.E.D.M.A.S. meaning the order from first to last in which we do our math is brackets, then exponents, then division & multiplication, then addition & subtraction. Writing this out at the top of your paper may help further on. Getting the order of operations wrong can give you completely different and incorrect results.

Note: The terms PEDMAS, BODMAS, and BIDMAS are also used to represent the order of operations.

So using this, we multiply first then subtract

4 x 3 - 9 =

12 - 9 = 3

7 + ⅓ x 9 + 18 / 3

So we multiply and divide first, then add or subtract.

7 + 3 + 6 = 16

3(5 - 2) - 7(6 - 1)

Brackets first then multiply.

3(3) - 7(5) =

9 - 35 = -26

{3^{2} - 5^{2} + 8} / {3 - 7}

Remember, for division, brackets are implied around whatever the division line is covering, it helps if we add them in.

First we do the exponents.

(9 - 25 + 8)/(3 - 7) =

(-8)/(-4) = 2 [two negatives cancel out when dividing]

(4 - 9)(7 - 1) + 3^{2}

Brackets first, then exponents, then multiply, then addition.

(-5)(6) + 3^{2} =

(-5)(6) + 9 =

-30 + 9 =

-21

{ {-15/3} + 4 x 3 } / 3^{3}

Rewrite this with the brackets to help

( (-15/3) + 4 x 3 ) / (3^{3})

So firsty, do the brackets,

( (-5) + 4 x 3) / (3^{3}) =

( (-5) + 12) / (3^{3}) =

(7) / (3^{3})=

Now the brackets are done, do the exponent,

7 / 27

Make sure you have a solid understanding of the Order of Operations, it plays a key in most of mathematics!