Algebra Rules - Addition and Subtraction - Corollary
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This document provides examples and rules for addition, subtraction, and combining decimals, fractions, and algebraic expressions in algebra. It explains that for like terms: add or subtract the coefficients and keep the variable; for fractions: find the least common multiple; and for mixed decimals and fractions, convert one to the other form before combining. It also notes that for unlike terms or expressions with different variables, the terms should be kept separate.
Algebra Rules - Addition and Subtraction - Corollary
- 1. Algebra – Class 3a Basic Rules of Algebra – Corollary 1 Edishta Resource Centre www.edishta.com
- 2. 2 Algebra - Rules You know about decimals and fractions, aren’t you? Just have a quick glance at them and try recalling them… 4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87 Edishta Resource Centre www.edishta.com
- 3. 3 Algebra - Rules You know about decimals and fractions, aren’t you? Just have a quick glance at them and try recalling them… 4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87 15)19( 1 15 04 Edishta Resource Centre www.edishta.com
- 4. 4 Algebra - Rules You know about decimals and fractions, aren’t you? Just have a quick glance at them and try recalling them… 4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87 LCM of 9,12 is 36 Edishta Resource Centre www.edishta.com
- 5. 5 Algebra - Rules You know about decimals and fractions, aren’t you? Just have a quick glance at them and try recalling them… 4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87 4 X 3 = 12 12 + 2 = 14 Edishta Resource Centre www.edishta.com
- 6. 6 Algebra - Rules You know about decimals and fractions, aren’t you? Just have a quick glance at them and try recalling them… 4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87 Same thing continues here also. Edishta Resource Centre www.edishta.com
- 7. Algebra - Rules What is the rules of addition and subtraction? It is adding or subtracting the numbers then joining coefficient with the total No other rules for decimals and fractions… Edishta Resource Centre www.edishta.com
- 8. 8 Algebra – Addition and Subtraction (Decimals) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc Edishta Resource Centre www.edishta.com
- 9. 9 Algebra – Addition and Subtraction (Decimals) (a= 1a) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc 1.2 4.6 5.8 Coeff. is x so Ans. is 5.8x 2.3 5.8 8.1 Coeff. is y so Ans. is 8.1y Edishta Resource Centre www.edishta.com
- 10. 10 Algebra – Addition and Subtraction (Decimals) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc 8.45 + 4.835 13.285 and m so 13.285m 19.302 + 0.8 ` 20.102 So 20.102abc Edishta Resource Centre www.edishta.com
- 11. 11 Algebra – Addition and Subtraction (Decimals) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc Subtraction 3.8x – 2.2x = 1.6x 19.3c - 8.8c = 10.5c 2.41def –def = 1.41def 7.51k - 6.894k = 0.616k 21.325uv - 1.325uv = 20uv 53xyz – 24.21yxz = 28.79xyz Edishta Resource Centre www.edishta.com
- 12. 12 Algebra – Addition and Subtraction (Decimals) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 3.8 -2.2 1.6 19.3 - 8.8 10.5 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc Coeff. is x so Ans. is 1.6x Coeff. is c so Ans. is 10.5c Subtraction (def= 1def) 3.8x – 2.2x = 1.6x 19.3c - 8.8c = 10.5c 2.41def –def = 1.41def 7.51k - 6.894k = 0.616k 21.325uv - 1.325uv = 20uv 53xyz – 24.21yxz = 28.79xyz Edishta Resource Centre www.edishta.com
- 13. 13 Algebra – Addition and Subtraction (Decimals) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 7.51 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc Subtraction - 6.894 0.616 and k so Ans. is 0.616k 3.8x – 2.2x = 1.6x 19.3c - 8.8c = 10.5c 2.41def –def = 1.41def 7.51k - 6.894k = 0.616k 21.325uv - 1.325uv = 20uv 53xyz – 24.21yxz = 28.79xyz xyz= yxz Edishta Resource Centre www.edishta.com
- 14. 14 Algebra – Addition and Subtraction (Decimals) Shall we move ahead to see some examples?... Addition 1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a 8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc Subtraction 3.8x – 2.2x = 1.6x 19.3c - 8.8c = 10.5c 2.41def –def = 1.41def 7.51k - 6.894k = 0.616k 21.325uv - 1.325uv = 20uv 53xyz – 24.21yxz = 28.79xyz Edishta Resource Centre www.edishta.com
- 15. 15 Algebra – Addition and Subtraction (Fractions) Shall we move ahead to see some examples?... Addition Edishta Resource Centre www.edishta.com
- 16. 16 Algebra – Addition and Subtraction (Fractions) Shall we move ahead to see some examples?... Addition LCM is 12 and x so Edishta Resource Centre www.edishta.com
- 17. 17 Algebra – Addition and Subtraction (Fractions) Shall we move ahead to see some examples?... Addition LCM is 42 2n = Edishta Resource Centre www.edishta.com
- 18. 18 Algebra – Addition and Subtraction (Fractions) Shall we move ahead to see some examples?... Addition Coeff. is x so Ans. is LCM is 9 Subtraction lkm= 1klm Edishta Resource Centre www.edishta.com
- 19. 19 Algebra – Addition and Subtraction (Fractions) Shall we move ahead to see some examples?... Addition Subtraction LCM is 24 Edishta Resource Centre www.edishta.com
- 20. 20 Algebra – Addition and Subtraction (Fractions) Shall we move ahead to see some examples?... Addition Subtraction Edishta Resource Centre www.edishta.com
- 21. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Edishta Resource Centre www.edishta.com
- 22. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Fraction to decimal 3/5 = 0.6 Edishta Resource Centre www.edishta.com
- 23. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Fraction to decimal 3/4 = 0.75 + 2 = 2.75 Edishta Resource Centre www.edishta.com
- 24. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Decimal to fraction 0.3 = 3/10 (Multiply and divide by powers of 10 to remove decimal) Edishta Resource Centre www.edishta.com
- 25. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Fraction to decimal 5/16 = 0.3125 Edishta Resource Centre www.edishta.com
- 26. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Decimal to fraction 2.25 = 225/100 (Multiply and divide by powers of 10) 225/100 = 9/4 (Simplifying) Edishta Resource Centre www.edishta.com
- 27. Algebra – Mixed Types What if we have fractions and decimals both? Convert either fraction to decimals or vice versa depending on easiness. Edishta Resource Centre www.edishta.com
- 28. Algebra – Mixed Types What if we have –ve number greater among two? Basic rules says to apply the sign of greater number Edishta Resource Centre www.edishta.com
- 29. Algebra – Mixed Types What if we have –ve number greater among two? Basic rules says to apply the sign of greater number 3.2xy - 4.6yx = -1.2xy 3.13y - 10.9y = -7.77y -6.8a + 0.801a = -6.001a Edishta Resource Centre www.edishta.com
- 30. Algebra – Mixed Types What if we have –ve number greater among two? Basic rules says to apply the sign of greater number When you have two different signs + 3.2xy - 4.6yx = -1.2xy 3.13y - 10.9y = -7.77y -6.8a + 0.801a = -6.001a and – then do subtraction from bigger with smaller and assign sign of bigger number. Edishta Resource Centre www.edishta.com
- 31. Algebra – Unlike Terms If there are unlike terms Don’t do anything Just keep the same thing Edishta Resource Centre www.edishta.com
- 32. Algebra – Unlike Terms If there are unlike terms Don’t do anything Just keep the same thing 5.2x + 2.548xy = 5.2x + 2.548xy 8.75t + 4.37y = 8.75t + 4.37y Edishta Resource Centre www.edishta.com