Algebra is Useful: 5000 Practice Problems to Show how Algebraic Identities can be used to Simplify Arithmetic Calculations by Norman Sanko

Author:Norman Sanko [Sanko, Norman]
Language: eng
Format: azw3, mobi, epub
Published: 2021-02-22T16:00:00+00:00

317. Please find the value of 3001², by using algebraic identities to simplify computation.

--

Solution: Since 3001 is only a little higher than 3000, we can deduce that the identity (a + b)² = (a² + b² + 2ab) is to be used, with some appropriately chosen values of a and b. To do this particular computation, we put a = 3000 and b = 1. After the substitution, we get 3001² = (3000 + 1)² = 3000² + 1² + (2 x 3000 x 1) = 9000000 + 1 + 6000 = 9006001.

----

318. What is the value of 0.661² + 6.339² + (0.661 x 12.678)? Please use algebraic identities to make the computation simple.

--

Solution: First, we note that 12.678 = 2 x 6.339. Using this fact, we can rewrite the given expression as 0.661² + 6.339² + (2 x 0.661 x 6.339). Comparing this with the Right Hand Side of the identity (a + b)² = (a² + b² + 2ab), we get 0.661² + 6.339² + (0.661 x 12.678) = 0.661² + 6.339² + (2 x 0.661 x 6.339) = (0.661 + 6.339)² = 7² = 49.

----

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.