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motikmotik
4 years ago
5

Who created multiplication ?

Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
4 0

Multiplication is a very old concept in math. So old that it dates back to ancient egypt, mesopotamia, etc. Each place probably came up with the concept on their own parallel to one another, or trade helped make the concept spread. It's very likely that the actual person who came up with the idea is unknown and won't be known since the concept is so ancient. It's like asking "who came up with the alphabet" which is an equally old concept.

Side note: multiplication is repeated addition. So if we added 3+3+3+3+3 to get 15, then we can say 3*5 = 12 as a shortcut. So its likely ancient peoples were adding the same number to itself over and over, leading them to develop a shortcut notation/method to get the answer quicker.

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Solve | x + 6| - 7 = 8
Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

\displaystyle \large{|x+6|-7=8}

Transport -7 to add 8:

\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}

Cancel absolute sign and add plus-minus to 15:

\displaystyle \large{x+6=\pm 15}

Transport 6 to subtract ±15:

\displaystyle \large{x=\pm 15-6}

Consider:

\displaystyle \large{x= 15-6} or \displaystyle \large{x = -15-6}

\displaystyle \large{x=9} or \displaystyle \large{x=-21}

Solution:

\displaystyle \large{x = 9} or \displaystyle \large{x=-21}

__________________________________________________________

Second Method

Given:

\displaystyle \large{|x+6|-7=8}

Transport -7 to add 8:

\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}

Absolute Function Property:

\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}

Consider both intervals:

When x ≥ a then:

\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}

Transport 6 to subtract 15:

\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}

When x < a then:

\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}

Transport -6 to add 15:

\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}

Transport negative sign to 21:

\displaystyle \large{x=-21}

Solution:

\displaystyle \large{x=9} or \displaystyle \large{x=-21}

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

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Answer:

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Answer:

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Step-by-step explanation:

I believe I answered a similar question, the reasoning behind it is the same.

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