How do you evaluate 8-20+(-39)-(-12)+13-48820+(39)(12)+1348?

2 Answers
Mar 6, 2018

color(blue)(-74)74

Explanation:

8 - 20 + (-39) - (-12) + 13 - 48820+(39)(12)+1348

=> 8 - 20 - 39 + 12 + 13 - 4882039+12+1348 Removing the braces.

=> 8 + 12 + 13 - 20 - 39 - 488+12+13203948 Rearranging terms.

=> (8 + 12 + 13 ) - (20 + 39 + 48)(8+12+13)(20+39+48) Grouping terms according to sign.

=> 33 - 107 = - 7433107=74

Mar 6, 2018

-74

Explanation:

A -number and ++number make -.
A -number and -number make ++.
A ++number and ++number make ++.

Knowing these rules, we can simplify the equation.
8 − 20 + ( − 39 ) − ( − 12 ) + 13 − 48 ->820+(39)(12)+1348
8 − 20 − 39 + 12 + 13 − 4882039+12+1348

Following PEMDAS, add first.
8 − 20 − 39 + (12 + 13) − 48 ->82039+(12+13)48
8 − 20 − 39 + 25 − 4882039+2548

Subtract.
8 − 20 − 39 + 25 − 48 ->82039+2548
-12 − 39 + 25 − 48 ->1239+2548
-51 + 25 − 48 ->51+2548
-99 + 2599+25

Add.
-99 + 25 = -7499+25=74