11 Realiza las operaciones con numeros deci- males. a. $$ 0,23+(-4,023) $$ b. $$ -23,25-(-82.16) $$ c. $$ 1.4-[(-2.3+(-4.2))-(2.45+(-3.6)] $$ d. $$ 1.1+[2.1-[(-0.5)+(-0.6))-(3.8-28)] $$

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Calculate the value by following steps:
- step0: Calculate:
  $$1.1+\left(2.1-\left(\left(-0.5\right)+\left(-0.6\right)-\left(3.8-28\right)\right)\right)$$
- step1: Remove the parentheses:
  $$1.1+\left(2.1-\left(-0.5-0.6-\left(3.8-28\right)\right)\right)$$
- step2: Subtract the numbers:
  $$1.1+\left(2.1-\left(-0.5-0.6-\left(-24.2\right)\right)\right)$$
- step3: Remove the parentheses:
  $$1.1+\left(2.1-\left(-0.5-0.6+24.2\right)\right)$$
- step4: Calculate:
  $$1.1+\left(2.1-23.1\right)$$
- step5: Subtract the numbers:
  $$1.1+\left(-21\right)$$
- step6: Remove the parentheses:
  $$1.1-21$$
- step7: Subtract the numbers:
  $$-19.9$$
Calculate or simplify the expression $$ 1.4-[(-2.3+(-4.2))-(2.45+(-3.6)] $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1.4-\left(\left(-2.3+\left(-4.2\right)\right)-\left(2.45+\left(-3.6\right)\right)\right)$$
- step1: Remove the parentheses:
  $$1.4-\left(\left(-2.3-4.2\right)-\left(2.45+\left(-3.6\right)\right)\right)$$
- step2: Subtract the numbers:
  $$1.4-\left(\left(-6.5\right)-\left(2.45+\left(-3.6\right)\right)\right)$$
- step3: Remove the parentheses:
  $$1.4-\left(-6.5-\left(2.45-3.6\right)\right)$$
- step4: Subtract the numbers:
  $$1.4-\left(-6.5-\left(-1.15\right)\right)$$
- step5: Remove the parentheses:
  $$1.4-\left(-6.5+1.15\right)$$
- step6: Add the numbers:
  $$1.4-\left(-5.35\right)$$
- step7: Remove the parentheses:
  $$1.4+5.35$$
- step8: Add the numbers:
  $$6.75$$
Calculate or simplify the expression $$ -23.25-(-82.16) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$-23.25-\left(-82.16\right)$$
- step1: Remove the parentheses:
  $$-23.25+82.16$$
- step2: Add the numbers:
  $$58.91$$
Calculate or simplify the expression $$ 0.23+(-4.023) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$0.23+\left(-4.023\right)$$
- step1: Remove the parentheses:
  $$0.23-4.023$$
- step2: Subtract the numbers:
  $$-3.793$$
Aquí están las soluciones a las operaciones con números decimales:

a. $$ 0,23 + (-4,023) $$

$$
0,23 - 4,023 = -3,793
$$

b. $$ -23,25 - (-82,16) $$

$$
-23,25 + 82,16 = 58,91
$$

c. $$ 1,4 - [(-2,3 + (-4,2)) - (2,45 + (-3,6)] $$

Primero, resolvemos las operaciones dentro de los corchetes:

$$
-2,3 + (-4,2) = -6,5
$$
$$
2,45 + (-3,6) = 2,45 - 3,6 = -1,15
$$

Ahora sustituimos en la expresión:

$$
1,4 - [(-6,5) - (-1,15)] = 1,4 - [-6,5 + 1,15] = 1,4 - (-5,35) = 1,4 + 5,35 = 6,75
$$

d. $$ 1,1 + [2,1 - [(-0,5) + (-0,6)] - (3,8 - 28)] $$

Primero, resolvemos las operaciones dentro de los corchetes:

$$
-0,5 + (-0,6) = -1,1
$$
$$
3,8 - 28 = -24,2
$$

Ahora sustituimos en la expresión:

$$
1,1 + [2,1 - (-1,1) - (-24,2)] = 1,1 + [2,1 + 1,1 + 24,2] = 1,1 + [2,1 + 1,1 + 24,2] = 1,1 + 27,4 = -19,9
$$

### Resumen de resultados:
- a. $$ -3,793 $$
- b. $$ 58,91 $$
- c. $$ 6,75 $$
- d. $$ -19,9 $$
a. -3,793 b. 58,91 c. 6,75 d. -19,9

11 Realiza las operaciones con numeros deci- males. a. \( 0,23+(-4,023) \) b. \( -23,25-(-82.16) \) c. \( 1.4-[(-2.3+(-4.2))-(2.45+(-3.6)] \) d. \( 1.1+[2.1-[(-0.5)+(-0.6))-(3.8-28)] \)

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