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13th, 7th and 7th - that does rather surprise me, to be honest!
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Surprise surprise the UK is an absolute disaster. Even the USA is ahead for some. I suppose half the kids in te UK arn't really from the UK anyway.
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Fair enough for those that were not that clever, but they did put some effort into it. Majority I knew were born here, spoke perfect English AND a second language. |
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lol Kaotika, your first pic found itself to Phun.org [rofl]
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I was also taught to reduce as much as possible before you solve.
You should reduce the 48/2 before multiplication [rofl] |
Many calculators not following math rules?
And it's a damn simple equation too:
48 / 2 ( 9 + 3 ) Basic math rules say that you first calculate things within parenthesis (if there's more than one, you start from possible parenthesis inside another parenthesis etc), multiplying and dividing are equal and done in order from left to right. Also since there's parenthesis next to number without anything between them, they're multiplied. So the above equation goes like this: 48 / 2 ( 9 + 3 ) = 48 / 2 ( 12 ) = 24 ( 12 ) = 24 * 12 = 288 However, some calculators count it like this: 48 / 2 ( 9 + 3 ) = 48 / 2 ( 12 ) = 48 / 24 = 2 Strangely enough, some people are quite convinced the latter way should be correct, and not the former. Here's wolfram alphas take on it: http://www.wolframalpha.com/input/?i=48/2(9%2B3) And examples where calculators fail or do it right: http://home.akku.tv/~akku38901/Math/1.jpg http://home.akku.tv/~akku38901/Math/2.jpg http://home.akku.tv/~akku38901/Math/3.jpg |
The correct answer, according to a friend of mine with a degree in Math, is 2.
48/(2*(9+3)) = 2 |
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Edit: Oh and yes, Kaotika, it's a complete mess when it comes to the world of calculators. If you think the variation in the handling of parentheses and implied operations is bad enough, it's relatively minor compared to long-standing stupidity of labelling arcsin, arccos, arctan as sin-1, cos-1, etc. The latest craze is for calculators to completely ignore negative signs (and I mean negative signs, not minus/subtraction signs) in front of numbers when raising them to a power, unless the value is enclosed in parentheses before applying the power. |
The correct answer should be 2 seeing as how you put the 9 and 3 in parentheses. Using order of operations, Parentheses Exponents Multiplication Division Addition Subtraction (PEMDAS)? The calculator added the 9 and 3 in parentheses and then multiplied the 2 times 12 and divided 48 by 24 according to the correct order of operations, no?
Either way, I always make sure to put parentheses either way when it comes to problems like these. |
The problem with some of them is solving as the user is inputing the data and so not obeying the standard order
the microsoft calculator for example doesnt process the operand after an operator is inputed at the start, it seems to expect a much simpler equation with just a single operator for 2 operands. so the display actually reads 48 / ( 9 + 3) instead of 48 / 2 ( 9 + 3) for solving so its best to solve the parenthesis first before inputing 48 / 2 x 12 further simplified 24 x12. defeats the purpose of a calculator i know its always best to test your calculator beforehand. One with a buffer to hold the equation before the user actually presses to solve is required for the standardised order |
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Thus the correct answer in Kaotika's original expression is 288 and not 2: 48 / 2 ( 9 + 3 ) = 48 ÷ 2 x 12 = 24 x 12 = 288 The answer is only 2 if the expression is specifically written like this: 48 / ( 2 ( 9 + 3 ) ) = 48 ÷ ( 2 x 12 ) = 48 ÷ 24 = 2 Slapping parentheses about can easily change an expression from its intended form. |
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