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Mathematics 7 Online
OpenStudy (anonymous):

find the product. -2ab x -2ab^5 explain.

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 \[\Large a*a = a\] \[\Large a*a = 1\]

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

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

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

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

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|

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