### 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?

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

 7 + 3 × 4 = 7 + 12 = 19
• #### Example 2.   what is (7 + 3) x 4?

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

 (7 + 3) × 4 = 10 × 4 = 40
• #### Example 3.   what is 25 − 3 + 7?

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

 25 − 3 + 7 = 22 + 7 = 29
• #### Example 4.   what is 25 − (3 + 7)?

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

 25 − (3 + 7) = 25 − 10 = 15
• #### Example 5.   what is 7 × 8 ÷ 2?

• 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
• #### Example 6.   what is 7 × (8 ÷ 2)?

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

 7 × (8 ÷ 2) = 7 × 4 = 28
• #### Example 7.   what is 5 × 62 + 3?

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

5 × 62 + 3

 = 5 × 36 + 3 = 180 + 3 = 183
• #### Example 8.   what is (5 × 6)2 + 3?

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

(5 × 6)2 + 3

 = 302 + 3 = 900 + 3 = 903
• #### Example 9.   what is 5 × (62 + 3)?

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

5 × (62 + 3)

 = 5 × (36 + 3) = 5 × 39 = 195

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