What's the difference between 2+(-3) & 2 (-3)

Question

describe the difference between the expressions. What operation is used with both? Are the answers same or different? Be as descriptive as possible.  Please use sentences or bullit points.

 

Answer 1

The difference is 2+(-3) is an addition process while 2(-3) is a multiplication process as indicated by having parentheses surrounding -3 and no addition or substitution sign before the parentheses, as in 2(-3).

 

A math rule that must be observed:

 

- The positive or plus '+' sign is not typically included BEFORE a positive number, rather implied. In contrast, a negative sign must be placed BEFORE the number to indicate it is indeed negative.

 

With that, 2+(-3) is adding 2 to -3 resulting or equalling -1 since the negative number is higher than the positive number and when a positive and a negative are added or substituted, the process is always a substitution and not an addition.

 

As for 2(-3), it is 2 multiplied or times -3, and the result is -6, because a negative and a positive when multiplied always give a negative result.