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Mathematics 10 Online
OpenStudy (anonymous):

____ - (-17) = 31

OpenStudy (phi):

change the - - to + (two minus signs become +) so now it is ___+17 = 31 some number plus 17 is 31 we could guess: 10+17= 27 no too small 20+17= 37 no too big or we could figure it as 31-17

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

wait so its 31

OpenStudy (phi):

you want a number that is smaller than 31. You add 17 to the number to get 31

OpenStudy (anonymous):

13

OpenStudy (anonymous):

i mean 14

OpenStudy (phi):

13+17= 30

OpenStudy (phi):

yes, 14 notice that 31-17= 14 (that is the quick way to find the number)

OpenStudy (anonymous):

so what about this one

OpenStudy (phi):

if we add 17 to both sides: 31 -17 +17 = 14+17 and we know -17+17 is zero 31= 14+17

OpenStudy (anonymous):

--- / -7 = -7

OpenStudy (phi):

First, you know a - divided by a - will be + . (minus/minus --> plus) so the top number is not -, it is positive.

OpenStudy (anonymous):

okay.

OpenStudy (anonymous):

like in the 20's ?

OpenStudy (phi):

let's try 21: 21/ -7 = -3

OpenStudy (phi):

7 goes into 21 exactly 3 times.

OpenStudy (anonymous):

ok so what would be the best answer

OpenStudy (phi):

--- / -7 = -7 to answer, notice this: 21/ -7 = -3 but notice that -7*-3= 21 (that is not a coincidence) 28/ -7 = -4 and -4* -7= 28 so ___/ -7 = -7 what about __ = -7*-7 as the answer?

OpenStudy (anonymous):

-7 * -7?

OpenStudy (phi):

can you do -7*-7 ?

OpenStudy (phi):

two minus signs (when multiplying or dividing) become a plus sign so -7*-7 becomes 7*7 7*7= ?

OpenStudy (anonymous):

49

OpenStudy (phi):

and 49/-7 = ? we have + divided by - so the answer is - now do 49/7 = ? and add in the minus sign -7 is the answer. so 49/ -7 = -7

OpenStudy (anonymous):

so 49 is the answer

OpenStudy (phi):

yes

OpenStudy (anonymous):

Thanks.

OpenStudy (phi):

I take it this still isn't very clear. But practice helps.

OpenStudy (anonymous):

i got it thanks :)

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