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Binomial Expansion Reflection. By: Umema Khan 8C. P.S. please play the slideshow because there is sound. Recently Concluded. We have Recently concluded an investigation in which we looked at (0.99) 2 = (1-0.01)(1-0.01) = 1 2 - 2 x 1 x 0.01 + 0.01 2.
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Binomial Expansion Reflection By: Umema Khan 8C P.S. please play the slideshow because there is sound
Recently Concluded We have Recently concluded an investigation in which we looked at (0.99)2 = (1-0.01)(1-0.01) = 1 2- 2 x 1 x 0.01 + 0.012. We then came up with the general rule that (a + b)2 = a 2 +2ab +b 2 and (a - b) 2 = a 2 - 2ab + b 2
100Yearsago… 1122 =(100 + 12) (100 +12) = (1002)+ (2 x100) + (2 x12) + (122) = 10000 + 1200 +1200 + 144 = 12544 And the engineer would have to build a house which’s area is within 12544 yards2
But... But this isn’t always the case there are some places where long multiplication would have actually been a lot easier like: • If the number has 2 or more decimals places plus a whole number • If there is a number does not end in a zero • If the number has more than 4 digits and does not at all contain a zero • If the number is in the middle of two numbers (like 153 is in between 100, and 200) • If you do not square, there are two different numbers multiplied together
For Example: 1532
This therefore proves that the binomial expansion method can become tricky if it is not used in the right times and that it can only help to a certain extent.
