Master Order of Operations in Mathematics

01 july 2025 n.w
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Learn the essential rules of BODMAS to correctly perform mathematical calculations involving brackets, exponents, indices, multiplication, and division. Practice examples and understand the correct order to solve equations. Improve your math skills with these helpful guidelines.

  • Math Skills
  • BODMAS Rules
  • Order of Operations
  • Mathematical Calculations
  • Problem Solving

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  1. 01 July 2025 Use of four operations and brackets LO: To correctly use the rules to perform operations. www.mathssupport.org

  2. In Mathematics, the order in which the calculations are carried out is also important To do it correctly we follow these rules: 1 BRACKETS BRACKETS Perform the operations between 2 ORDER ORDER EXPONENTS EXPONENTS INDICES INDICES Calculate anything involving DIVIDE or MULTIPLY DIVIDE or MULTIPLY 3 Starting from the left in the order that they come in the order that they come ADD or SUBTRACT 4 Starting again from the left in the order that they come B You can remember the order of operations by recalling: O I E D MAS www.mathssupport.org

  3. Example 1 BODMAS Circle the operation that you do first D S 23 10 2 2 = = 23 5 5 = = 18 18 www.mathssupport.org

  4. Example 2 BODMAS D Circle the operation that you do first A + + + + M 2 3 4 2 = 2 3 3 = = 2 = = 8 4 2 2 2 = 6 www.mathssupport.org

  5. Example 3 BODMAS D Circle the operation that you do first A + + + + M 2 3 4 2 = 2 12 12 = = 2 = = 8 4 2 2 2 = 6 www.mathssupport.org

  6. Example 4 BODMAS M Circle the operation that you do first M S 3 8 6 5 = = 24 = = 6 6 5 30 30 www.mathssupport.org

  7. Example 5 BODMAS B ( 4 + 2) ( 4 + 2) ( ( 4 + 2) 4 + 2) Circle the operation that you do first M 3 S 2 3 6 6 = 2 = 6 = 0 6 www.mathssupport.org

  8. Example 6 BODMAS O What operation we will do first? A B B S There are two brackets [12 ( 3)] 42 + 9 9 9 3) ( ( [12 + 3] 42 12 12 [ [ + + 3] 3] 15 15 3) We start with the inner brackets We now solve the outer brackets 42 16 1 42 We now solve order We now subtract www.mathssupport.org

  9. Example 7 BODMAS Put brackets to make the calculation true 5 + 1 4 = 24 5 + 1 4 5 + 4 5 + 1 4 = 24 ( ( ) ) 6 4 = 24 24 24 www.mathssupport.org

  10. Example 8 BODMAS Put brackets to make the calculation true 24 6 - 2 = 6 24 6 - 2 4 - 2 24 6 - 2 = 6 ( ( 24 4 = 6 6 6 ) ) www.mathssupport.org

  11. Example 9 We start by solving the numerator A + 5 18 (6 + 3) (6 + 3) BODMAS What operation we will do first? B + 3) B +( ( 2 2) ) 18 ( ( 16 ( 7) (6 D Now we solve the denominator What operation we will do first? 5 5 7) 7) 16 = 9 14 = 2 = 7 www.mathssupport.org

  12. Thank you for using resources from A close up of a cage Description automatically generated For more resources visit our website https://www.mathssupport.org If you have a special request, drop us an email info@mathssupport.org Get 20% off in your next purchase from our website, just use this code when checkout: MSUPPORT_20 www.mathssupport.org

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