##### how to simplify algebraic addition?

 Algebra Tutor: None Selected Time limit: 1 Day

Oct 12th, 2015

Hi! Thanks for working with me on this question!

Here's the original problem:

7-6-(-3)-[-(-3)]

You don't really need the parentheses or brackets, so I would take them out.

7 - 6 - - 3 - - -3

Now find any set of 2 negative signs that appear right next to each other and make them into a plus sign.

There are 2 negative signs in front of the first 3 and two negative signs in front of the second 3. Make each set into plus signs.

7 - 6 + 3 - +3

Notice how there was an extra negative sign in front of that second 3, and it's still there. If you ever see "- +", you can really just write "-" It's kind of like the plus sign is extra or is read as a positive sign and it doesn't need to be there. For instance, you wouldn't need to say "minus positive 3." We know that 3 is positive, so you just say "minus 3."

So we have:

7 - 6 + 3 - 3

Now start subtracting or adding from left to right:

7 - 6 + 3 - 3

7  - 6 is 1, so we have

1 + 3 - 3

1 + 3 is 4, so we have

4 - 3

which is

1

I hope this helps you move forward on the problem! Let me know if you need any more clarification!
Oct 12th, 2015

wow!!  you clarified my vision in a whole new way. thank you so so sooo much!

Oct 12th, 2015

You're welcome! If you need any more help, feel free to let me know!

I've noticed that one question students have a lot is how to tell the difference between a minus sign and a negative sign. The answer is: they're the same! You just think of the sign however you need to think of it so that it helps you understand the problem better. When there are two of them in a row, you change it to a plus. If it says + -, I just get rid of the plus sign if it helps me see the problem better. Sometimes, the + signs actually help. It just depends on you. :)

Feel free to leave a review for me if you'd like! Also, if you want to work on any more questions together, I'd be happy to help!

Oct 12th, 2015

Hey! I just realized your profile name is "carcar". That's a nickname my mom used to call me! Fun!

Oct 12th, 2015

ey! cool! thanks again!

Oct 12th, 2015

:)

Oct 12th, 2015

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Oct 12th, 2015
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Oct 12th, 2015
May 27th, 2017
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