### BIDMAS or BODMAS

In Maths there is an order of operations. Here is the order

Brackets | OR | Brackets | ||

Indices (also powers) | Of power | |||

Division | Division | |||

Multiplication | Multiplication | |||

Addition | Addition | |||

Subtraction | Subtraction |

Multiplication and Division are ranked the same, so work from left to right

Addition and Subtraction are ranked the same, so work from left to right

#### Example 1. what is 7 + 3 x 4?

#### Example 2. what is (7 + 3) x 4?

#### Example 3. what is 25 − 3 + 7?

#### Example 4. what is 25 − (3 + 7)?

#### Example 5. what is 7 × 8 ÷ 2?

#### Example 6. what is 7 × (8 ÷ 2)?

#### Example 7. what is 5 × 6

^{2}+ 3?#### Example 8. what is (5 × 6)

^{2}+ 3?#### Example 9. what is 5 × (6

^{2}+ 3)?

By using BIDMAS calculate the multiplication before the addition, so calculate 3 × 4 first:

7 + 3 × 4 | = | 7 + 12 | = | 19 |

By using BIDMAS calculate what is in the brackets: 7 + 3, before the multiplication:

(7 + 3) × 4 | = | 10 × 4 | = | 40 |

In BIDMAS Addition and Subtraction are ranked the same, so work from left to right:

25 − 3 + 7 | = | 22 + 7 | = | 29 |

By using BIDMAS calculate what is within the brackets: 3 + 7, before the subtraction:

25 − (3 + 7) | = | 25 − 10 | = | 15 |

In BIDMAS Multiplication and Division are ranked the same, so work from left to right and calculate 7 × 8 first:

7 × 8 ÷ 2 | = | 56 ÷ 2 | = | 28 |

By using BIDMAS calculate what is in the brackets: 8 ÷ 2, before the multiplication:

7 × (8 ÷ 2) | = | 7 × 4 | = | 28 |

By using BIDMAS calculate in the order: indices (or power), multiplication, and then addition, so:

5 × 6^{2} + 3

= | 5 × 36 + 3 | = | 180 + 3 | = | 183 |

By using BIDMAS calculate in the order: multiplication in the brackets, indices and then addition, so:

(5 × 6)^{2} + 3

= | 30^{2} + 3 | = | 900 + 3 | = | 903 |

By using BIDMAS calculate in the order: indices within the brackets, addition within the brackets and then multiplication so:

5 × (6^{2} + 3)

= | 5 × (36 + 3) | = | 5 × 39 | = | 195 |

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