College

Resuelve el siguiente ejercicio de operaciones con números racionales y decimales.

[tex]\[ (-13.6) + 12 - (-15.5) = \][/tex]

A. -10.1
B. 10.1
C. 41.1
D. 13.9

Answer :

Sure! Let's solve the expression step by step:

The expression we need to calculate is:
[tex]\[ (-13.6) + 12 - (-15.5) \][/tex]

1. Handle the subtraction of a negative number:

Remember that subtracting a negative number is the same as adding its positive value. So, we change [tex]\(-(-15.5)\)[/tex] to [tex]\(+15.5\)[/tex]. This means the expression becomes:
[tex]\[ (-13.6) + 12 + 15.5 \][/tex]

2. Add the first two numbers:

Let's add [tex]\((-13.6)\)[/tex] and [tex]\(12\)[/tex]:
[tex]\[ (-13.6) + 12 = -1.6 \][/tex]

Here, because we are adding a positive number to a negative one, you find the difference between them and keep the sign of the larger absolute value, which results in [tex]\(-1.6\)[/tex].

3. Add the result to the last number:

Now, add [tex]\(-1.6\)[/tex] to [tex]\(15.5\)[/tex]:
[tex]\[ (-1.6) + 15.5 = 13.9 \][/tex]

Similar to the previous step, you subtract 1.6 from 15.5 and since 15.5 is larger, the answer takes the positive sign.

Therefore, the result of the expression [tex]\((-13.6) + 12 - (-15.5)\)[/tex] is [tex]\(13.9\)[/tex].