9th class science group Math Ch no.1 Question no 1 part (iii,iv) inversion method.....
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The inversion method in mathematics is a powerful technique used to solve various problems in algebra, geometry, and trigonometry. Here's a detailed lecture on the inversion method:
Inversion in Fractions
Swapping the numerator and denominator
Example: 3/4 becomes 4/3
Useful for finding reciprocals and simplifying fractions
Inversion in Decimals
Swapping the decimal point
Example: 0.4 becomes 2.5 (1/0.4 = 2.5)
Useful for finding reciprocals and solving proportions
Inversion in Percentages
Swapping the percentage sign
Example: 25% becomes 400% (1/0.25 = 4)
Useful for calculating percentages and finding inverses
Applications of Inversion
Solving linear equations and inequalities
Finding inverse functions
Solving trigonometric equations
Calculating ratios and proportions
Examples and Practice Problems
Inverting fractions: 2/3, 5/7
Inverting decimals: 0.7, 0.25
Inverting percentages: 30%, 12.5%
Solving equations using inversion: 2x = 5, x/3 = 2
Conclusion
The inversion method is a valuable technique in mathematics, helping to solve various problems in different areas of math. Understanding and applying inversion can simplify problemsolving and enhance mathematical skills