Question

Which expression has the same sum as the one below? Negative 15 + 6

Answer 1

Answer:  $d.\ 6 + (-15)$

Step-by-step explanation:

The missing options are:

$a.\ 15 + 6\\b.\ -6 + (-15)\\c.\ 15 + (-6)\\d.\ 6 + (-15)$

For this exercise it is important to remember the mulitplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

By definition, the sum is the result of an addition.

Therefore, you need to add the numbers given in the exercise (-15 and 6) in order to find its sum. This is:

$-15+6=-9$

(Since the greatest number has a negative sign, the sum is negative).

Knowing this, you can check each option to find the expression whose sum is -9:

$a.\ 15 + 6=21\\\\b.\ -6 + (-15)=-6-15=-21\\\\c.\ 15 + (-6)=15-6=9\\\\d.\ 6 + (-15)=6-15=-9$

The answer is the option "d".