Maharashtra State BoardSSC (English Medium) 7th Standard
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Bodmas Rules for Simplifying an Expression

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BODMAS Rules for Simplifying an Expression:

Mathematics is a logic-based discipline. As so often, there are some simple rules to follow that help you work out the order in which to do the calculation. These are known as the ‘Order of Operations’.

BODMAS is a useful acronym that tells you the order in which you solve mathematical problems. It's important that you follow the rules of BODMAS because without it your answers can be wrong.

The BODMAS acronym is for

  • Brackets (parts of a calculation inside brackets always come first).

  • Orders (numbers involving powers or square roots).

  • Division.

  • Multiplication.

  • Addition.

  • Subtraction.

Numeric Expressions: BODMAS

Order of operations in Numeric Expressions

To evaluate: 8 × (5 + 3)2 ÷ 16 + 4

= 8 × (5 + 3)2 ÷ 16 + 4...….{Solve everything which is inside the brackets}

= 8 × (8)2 ÷ 16 + 4...….{Power}

= 8 × 64 ÷ 16 + 4...….{Divide}

= 8 × 4 + 4...….{Multiply}

= 32 + 4.....{Add}

= 36.

Remember:
Brackets may be used more than once to clearly specify the order of the operations. Different kinds of brackets such as round brackets ( ), square brackets [ ], curly brackets { }, may be used for this purpose. When solving brackets, solve the innermost bracket first and follow it up by solving the brackets outside in turn.

Example

Solve: 2 × {25 × [(113 - 9) + (4 ÷ 2 × 13)]}

2 × {25 × [(113 - 9) + (4 ÷ 2 × 13)]}
= 2 × {25 × [104 + (4 ÷ 2 × 13)]}
= 2 × {25 × [104 + (2 × 13)]}
= 2 × {25 × [104 + 26]}
= 2 × {25 × 130}
= 2 × 3250
= 6500.

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