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Alexus [3.1K]
3 years ago
13

Will mark brainllest

Mathematics
1 answer:
telo118 [61]3 years ago
7 0

a) The halfway number is \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

<u>Step-by-step explanation:</u>

a)Halfway number is otherwise Middle number.

The halfway number of two numbers = \frac{sum of two numbers}{2}.

The halfway for \frac{-2}{5} and \frac{-2}{5} = \frac{\frac{-2}{5}+ (\frac{-1}{2})}{2}.

=\frac{-2}{5}+ (\frac{-1}{2}).

= \frac{-4-5}{10}.

=\frac{-9}{10}.

∴Halfway =\frac{\frac{-9}{10} }{2}.

=\frac{-4.5}{10}

The halfway for \frac{-2}{5} and \frac{-1}{2}= \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

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Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

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↑ ↑ ↑

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↑ ↑ ↘

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given of given

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Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

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↑ ↑ ↘

same as opposite ALWAYS POSITIVE

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I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

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