Approximations using binomial theorem (Hinglish) | Binomial Theorem | Grade 11 | Math | Khan Academy

From the creator

In this video, we use binomial expansion to approximate powers of numbers close to 1. We use (1+x)^n for numbers greater than 1 and (1-x)^n for numbers less than 1. We realise through expansion that the first few terms matter much more than the remaining terms. So to approximate the value of these powers, we can ignore a lot of terms. We also realise that the approximations work better for smaller values of x. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:binomial-theorem-ncert-new/xea4762213f311c5e:binomial-theorem-for-positive-integral-indices/e/binomial-theorem) Timestamps: 0:00 Finding the approximate value of 0.95^5 5:20 Finding the approximate value of 0.99^5 7:20 Finding the approximate value of 1.02^5 Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta

Published 2025-04-16 · Watch on YouTube ↗
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