Determine the answer to 3 + (−5) and explain the steps using a number line.

- anonymous

Determine the answer to 3 + (−5) and explain the steps using a number line.

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- DanJS

what are you having trouble with?

- anonymous

i dont really understand how to find the answer

- DanJS

I think this wants to show you how a negative number moves left and positive to the right...so..
plus a negative number is the same as just subtraction
3 - 5

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## More answers

- DanJS

it is saying +(move right) by (-5) which itself moves left

- anonymous

yea i know 3+(-5)= 3-5, but i still cant get the answer

- anonymous

so what your saying is go right 3 times and then lest 5

- anonymous

because i thought that was how u do it but i was confused

- horsegal244

No its a negative

- DanJS

no just remember,
a + (-b) = a - b plus a negative is subtraction

- anonymous

so is the answer -2

- DanJS

if you add a negative number to a value on the numberline, you move left, same as if you just had subtracted it

- DanJS

the other one is minus a negative number, same as just addition
a - (-b) = a + b

- anonymous

i really need to get a good grade on this test. i did the number line and went from 0 to 3 then i went left 5 times and i got -2

- anonymous

is that the right answer?

- DanJS

oh number line... forgot

- DanJS

3 + (−5)
start at 3, move left 5 to -2

- anonymous

so then i got the correct answer?

- DanJS

|dw:1441228943457:dw|

- anonymous

i dont get that

- anonymous

i started at 0 and went right till i got to the number 3. then i went left 5 times but started at 3 instead of 0 and i got -2. Is this right or wrong?

- DanJS

|dw:1441229061848:dw|

- DanJS

the upper one is just showing the distance between 3 and -2, not sure what you have to include on your graph

- anonymous

just explain how to get the answer... or how u got the answer using the number line

- anonymous

the explanation that i said earlier was it right or wrong

- DanJS

oh they want you to start at zero? then to show 3 - 5 = -2 ...
start at zero, move +3, then move -5, end on -2

- anonymous

thank you. i really needed to make sure i had the right answer

- anonymous

can you help me with something else?

- DanJS

sure, i have a couple min

- anonymous

ok

- anonymous

Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Write feedback to Andrew explaining the mistake he made and how to correct his work.
Step Work Reasoning
−4.5 + 4.2 + 5.6 − 7.3 Original problem
1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse
2 −4.5 + (−7.3) + 4.2 + 5.6 Commutative property
3 (−4.5 + (−7.3)) + (4.2 + 5.6) Associative property
4 −11.8 + 9.8 Simplify
5 −21.6 Simplify

- DanJS

k..

- anonymous

in the original problem the 7.3 is positive, why in 1. he wrote it was negative

- DanJS

The 7.3 is negative in the original

- DanJS

the only thing i see is in the simplifying step

- DanJS

-11.8 + 9.8 = -2 not what he wrote -21.6

- anonymous

but were does he make his first mistake?

- anonymous

In the original problem 7.3 is positive, when Allen wrote it as commutative and additive inversion, he wrote it as a negative. That was one mistake. Another mistake was that since 3.7 is not negative, he does not need an extra set of parentheses for 7.3. instead of (−4.5 + (−7.3)) + (4.2 + 5.6) it should be (-4.5 + 7.3) + (4.2 + 5.6). Since he messed up with all that, the way he simplified his answer is wrong too.

- anonymous

is this correct?

- DanJS

why are you saying 7.3 is positive?
−4.5 + 4.2 + 5.6 − 7.3
was given

- anonymous

isnt that infront of 7.3 a subtraction

- DanJS

all the numbers look good to me except for the last simplifying step where he subtracted instead of added..
if the original prob is copied wrong, then i guess that too, or maybe the additive inverse thing as well...

- DanJS

got to run.. sorrry . be back later

- anonymous

ok thank you for the help

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