9th class science group Math Ch no.1 Question no 1 part (i,ii) 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.