Question

Need help explaining this to my 12 year old niece

give one physical example/word problem for each of below :
1) 8/3
2) -8/3
3) 8/-3
4) -8/-3

Answer 1

1) 8/3
quotient = 2 remainder = 2

(8) = 2(3) + 2
example : distributing 8 apples to 3 kids
each gets 2 apples and 2 is the remainder

Answer 2

I am finding it difficult to get models for other 3 problems... please help

Answer 3

-8 can be the charge of 8 electrons. And they are split among 3 atoms

Answer 4

Wow ! nice... that gives me another model to replace charge with debt :
distribute a debt of 8 dollars among 3 sons:

2) -8/3

(-8) = -2(3) - 2
quotient = -2, remainder = -2

distribute a debt of 8 dollars among 3 sons
each gets a bill of $2, and a debt of $2 still remains

Answer 5

two down, two more to go xD

Answer 6

Since negative integers are no longer natural numbers, things like 'splitting among x' won't work very well.

Answer 7

Yeah, I am beginning to see that...

Answer 8

It's an algebra problem. \(-3x=8\).

Answer 9

How many times you need to add -3 to get to 8 ?

Answer 10

Yes, converting it to multiplications seems like a good idea !!

Answer 11

Basically, but obviously you can't count the answer.

Answer 12

yeah we can push it to remainder term

subtract -3, two times :
you will reach 6, the remainder is 2

Answer 13

i think i can make it look better... :)

Answer 14

need some help on last problem also...

Answer 15

3) 8/-3

(8) = -2(-3) + 2
quotient = -2, remainder = 2

example :
solve the algebra problem -3x = 8.

Answer 16

Well, the most common case for this is the slope of a line. The ratio to the vertical change with the horizontal change.

Answer 17

beautiful ! xD