The Simplifier

Example One

1. Simplify: 1 + 1 – 1 x 1 ÷ (1 + 1) of 1

Step 1: Recall the precedence Rule as:
• Starting from left to right and
• Following the BODMAS sequence

 We start the part with bracket:

1 + 1 – 1 x 1 ÷ (1 + 1) of 1 = 1 + 1 – 1 x 1 ÷ 1 of 1

Next we move to the part with the of:
1 + 1 – 1 x 1 ÷ 1 of 1 = 1 + 1 – 1 x 1 ÷ 1 (Note: 1 of 1 = 1 * 1 = 1)

 Next we move to where we have a division:
1 + 1 – 1 x 1 ÷ 1 = 1 + 1 – 1 x 1

Next is to handle the Multiplication:
1 + 1 – 1 x 1 = 1 + 1 – 1 (Note the negative sign in front of 1 i.e. – 1 x 1)

Next to be considered is Addition and Finally Subtraction:
1 + 1 – 1 = 2 – 1 = 1

Keynote
This sequence is maintained even if more than one type of the same operator exists at different locations - finish with all additions before subtractions. Applicable to all others operators!

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The Simplifier

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