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Tuesday 20th of February
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# (Priority Rules for Arithmetic)

One way to remember the operation priority rules is to use the acronym BEDMAS, meaning

B (rackets) first

E (xponents) next

M (ultiply) and D (ivide) next

and

A (dd) and S (ubtract) last of all.

Here are a few more examples:

Example 1:

 35 Ã— 16 - 96 + 14 = 560 - 96 + 14 Do the single multiply first – it has the highest priority present. = 464 + 14 Do the left-most of the two add/subtract operations. They have the same level of priority, so the left-most one is done first = 478 Finally, do the remaining addition, to get the correct final result of 478.

Example 2:

3 – 5(4 – 6 x 2 – 5 + 7) + 8 Ã— 3

 = 3 – 5(4 – 12 – 5 + 7) + 8 Ã— 3 We need to start with the expression inside the brackets, which has the highest priority. Inside the brackets, the multiply operation has the highest priority. = 3 – 5(-8 – 5 + 7) + 8 Ã— 3 Now, do the leftmost subtract inside the brackets, since the two subtracts and one add otherwise are at the same priority level. = 3 – 5(-13+7) + 8 Ã— 3 Again, leftmost subtract inside the brackets. = 3 – 5(-6) + 8 Ã— 3 And, the last add in the brackets. = 3 +30 + 24 Both of the multiplies are at the same priority level – here they don’t interfere with each other, so we can do both at the same step. We can regard the first one as being -5 times -6, giving the positive result +30. = 33 + 24 Now the remaining two adds can be done to get the final answer. = 57

We’ve shown the steps above in a little more detail than one might normally employ, just to show the application of the priority rules very precisely.

Example 3:

 2 – 5(6 – 9) 3 = 2 – 5(-3) 3 Evaluation of the bracketed expression takes priority over every other operation present. = 2 – 5 Ã— (-27) The exponentiation is done next, since it is the highest priority of the remaining operations. The power 3 is applied to the entire contents of the brackets: (-3) Ã— (-3) Ã— (-3) = 2 + 135 The multiplication has the next highest priority. = 137