Ratio and proportion from "summary" of Pearson IIT Foundation Mathematics Class 7 by Trishna Knowledge Systems
Ratio and proportion is a mathematical concept which helps us to compare different values and relate them to each other. It is a useful tool for understanding many real-life scenarios and helps us to solve problems more effectively.- A ratio is a comparison of two numbers and proportional relationships show the connection between two quantities that have different units.
- Proportions are used in everyday life from buying an item at a discounted rate to finding the speed at which cars travel.
- Knowledge of ratios can come in handy when working out related angles and sides of shapes or areas of similar figures.
- Ratios can be written in three different forms - fractional, as a single number or using the words “is to”.
- Ratios can help identify equivalent sets through multiplication or division of either numerator or denominator by the same non-zero number.
- When comparing proportions, it's important to ensure both fractions use the same whole when setting up the equation.
- Cross multiplying helps solve for unknown terms in proportion equations where you need to find one part given the other.
- To work out missing elements of proportions, one should always visualize the problem using objects or pictures to find the answer.
