Maths BODMAS rule

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BODMAS rule, examples and exercises from naved.gem@gmail.com

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Maths BODMAS rule

  1. 1. Naveed Iqbal [email_address] [email_address] [email_address]
  2. 2. BODMAS rule ‘ BODMAS’ rule : This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of a given expression. Here, ‘B’ stands for ‘Bracket’, ‘ O’ for ‘of’, ‘ D’ for ‘Division, ‘ M’ for ‘Multiplication’, ‘ A’ for ‘Addition’, ‘ S’ for ‘Subtraction’.
  3. 3. <ul><li>Virnaculam(or Bar) </li></ul><ul><li>When an expression contains Virnaculam, before applying the ‘BODMAS’ rule, we simplify the expression under the virnaculam. </li></ul>
  4. 4. <ul><li>The next step is to evaluate all the expressions in the brackets. </li></ul><ul><li>After removing the brackets, we must use the following operations strictly in the following order: </li></ul><ul><li>1. of </li></ul><ul><li>2. Division, Multiplication </li></ul><ul><li>3.Addtition, Subtraction </li></ul>
  5. 5. <ul><li>So, the order of precedence is: </li></ul><ul><li>V Virnaculam first </li></ul><ul><li>B B rackets </li></ul><ul><li>O Of, O rders (i.e. Powers and Square Roots, etc.) </li></ul><ul><li>DM D ivision and M ultiplication (left-to-right) </li></ul><ul><li>AS A ddition and S ubtraction (left-to-right) </li></ul>
  6. 6. <ul><li>Evaluate the following expressions. </li></ul><ul><li>1 + 2 * 3 = </li></ul><ul><li>(1 + 2) * 3 = </li></ul><ul><li>4 * 9 – 8 / 2 = </li></ul><ul><li>4 * (9 – 8) / 2 = </li></ul><ul><li>9 2 – 1 = </li></ul><ul><li>9 / ( 5 – 2) = </li></ul><ul><li>7. 9 / ( 5 – 2) *5 = </li></ul><ul><li>8. 9 /( ( 5 – 2) *5) = </li></ul>
  7. 7. <ul><li>9. 48 / 2 2 * 6 = </li></ul><ul><li>10. 48 / (2 2 * 6) = </li></ul><ul><li>11. { 20 + log(100) } / (2 + 3) = </li></ul><ul><li>12. 20 + log(100) / (2 + 3) = </li></ul><ul><li>13. 20 + log(100) / 2 + 3 = </li></ul><ul><li>14. 4.2 + 6.4 x 8 = </li></ul><ul><li>18 – 7 x 2 </li></ul><ul><li>15. 3.8² + 6 = </li></ul><ul><li>5² </li></ul>
  8. 8. <ul><li>Answers: </li></ul><ul><li>1 + 2 * 3 = 7 </li></ul><ul><li>(1 + 2) * 3 = 9 </li></ul><ul><li>4 * 9 – 8 / 2 = 32 </li></ul><ul><li>4 * (9 – 8) / 2 = 2 </li></ul><ul><li>9 2 – 1 = 80 </li></ul><ul><li>9 / ( 5 – 2) = 3 </li></ul><ul><li>7. 9 / ( 5 – 2) *5 = 15 </li></ul><ul><li>8. 9 /( ( 5 – 2) *5) = 3/5 </li></ul>
  9. 9. <ul><li>9. 48 / 2 2 * 6 = 72 </li></ul><ul><li>10. 48 / (2 2 * 6) = 2 </li></ul><ul><li>11. { 20 + log(10 10 ) } / (2 + 3) = 6 </li></ul><ul><li>12. 20 + log(10 10 ) / (2 + 3) = 22 </li></ul><ul><li>13. 20 + log(10 10 ) / 2 + 3 = 28 </li></ul><ul><li>14. 4.2 + 6.4 x 8 = 13.85 </li></ul><ul><li>18 – 7 x 2 </li></ul><ul><li>15. 3.8² + 6 = 0.8176 </li></ul><ul><li>5² </li></ul>

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