Mathematics
7 Online
OpenStudy (anonymous):
find the product.
-2ab x -2ab^5
explain.
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OpenStudy (anonymous):
@DanJS
OpenStudy (anonymous):
is it 4ab^6
jimthompson5910 (jim_thompson5910):
what is 'a' times 'a' equal to?
OpenStudy (anonymous):
a or 1
jimthompson5910 (jim_thompson5910):
neither of these are true
\[\Large a*a = a\]
\[\Large a*a = 1\]
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OpenStudy (anonymous):
okay.
jimthompson5910 (jim_thompson5910):
\[\Large a*a = \underline{ \ \ \ \ \ } \ \text{(Fill in the blank)}\]
OpenStudy (anonymous):
a
jimthompson5910 (jim_thompson5910):
think of it in terms of numbers
jimthompson5910 (jim_thompson5910):
let's say we had 5 times 5
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OpenStudy (anonymous):
can we use my problem as an example??
OpenStudy (anonymous):
or yeah i guess 5 times 5
jimthompson5910 (jim_thompson5910):
so what is 5 times 5 equal to
OpenStudy (anonymous):
25
Nnesha (nnesha):
its simple when you multiply variable you should add their exponent
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jimthompson5910 (jim_thompson5910):
how can you get that answer without multiplying?
what other operation can you do?
OpenStudy (anonymous):
idk i just know its 25...
jimthompson5910 (jim_thompson5910):
Think of this figure
|dw:1419299056057:dw|
jimthompson5910 (jim_thompson5910):
to get the area of it, we multiply the base and height
in this case, they are both the same, so Area = length * width = 5*5 = 25
OpenStudy (anonymous):
yeah
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jimthompson5910 (jim_thompson5910):
what figure did I just draw
OpenStudy (anonymous):
a square or rectangle
jimthompson5910 (jim_thompson5910):
both apply since any square is a rectangle
jimthompson5910 (jim_thompson5910):
but specifically I'm going for "square"
jimthompson5910 (jim_thompson5910):
when you square a number, it's the same as multiplying it by itself
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jimthompson5910 (jim_thompson5910):
let's say we are multiplying 'a' with itself
that is essentially the same as finding the area of the square with side length 'a'
|dw:1419299212999:dw|
jimthompson5910 (jim_thompson5910):
|dw:1419299271317:dw|