Question

1. find the answers.

a.
\

$$\begin{array}{r}72,536\\\\49,875\\\\63,299\\\\+\\,7,847\\\\\\hline\\end{array}$$

b.
\

$$\begin{array}{r}\\$381.25\\\\-295.29\\\\\\hline\\end{array}$$

c.
\

$$\begin{array}{r}632\\\\\\times508\\\\\\hline\\end{array}$$

d. \overline{3999\vert170,772}
e.
\

$$\begin{array}{r}6\\frac{1}{3}\\\\9\\frac{1}{4}\\\\9\\frac{4}{5}\\\\ +\\,4\\frac{5}{6}\\\\\\hline\\end{array}$$

f.
\

$$\begin{array}{r}3\\frac{2}{5}\\\\ -\\,1\\frac{5}{6}\\\\\\hline\\end{array}$$

g. 3\frac{1}{5}\times18\frac{7}{17}=\underline{\quad\quad}
h. 1\frac{5}{7}\div\frac{9}{14}=\underline{\quad\quad}
i.
\

$$\begin{array}{r}9.02\\\\17.859\\\\ +\\,6.423\\\\\\hline\\end{array}$$

j.
\

$$\begin{array}{r}8.1\\\\ -\\,7.2954\\\\\\hline\\end{array}$$

k.
\

$$\begin{array}{r}.17\\\\\\times2.3\\\\\\hline\\end{array}$$

l. \overline{5.49\vert19.764}
m. 2^6=\underline{\quad\quad}

Explanation:

Step1: Sumar los números enteros

$72,536 + 49,875 + 63,299 + 7,847 = 193,557$

Step2: Restar los números decimales

$\$381.25 - 295.29 = \$85.96$

Step3: Multiplicar los enteros

$632 \times 508 = 321,056$

Step4: Dividir los enteros

$170,772 \div 399 = 428$

Step5: Sumar las fracciones mixtas

Convertir a fracciones impropias: $6\frac{1}{3}=\frac{19}{3}$, $9\frac{1}{4}=\frac{37}{4}$, $4\frac{5}{6}=\frac{29}{6}$
Hallar mínimo común múltiplo de 3,4,6: 12
$\frac{19}{3}+\frac{37}{4}+\frac{29}{6} = \frac{76}{12}+\frac{111}{12}+\frac{58}{12} = \frac{245}{12} = 20\frac{5}{12}$

Step6: Restar las fracciones mixtas

Convertir a fracciones impropias: $3\frac{2}{5}=\frac{17}{5}$, $1\frac{5}{6}=\frac{11}{6}$
Hallar mínimo común múltiplo de 5,6: 30
$\frac{17}{5}-\frac{11}{6} = \frac{102}{30}-\frac{55}{30} = \frac{47}{30} = 1\frac{17}{30}$

Step7: Multiplicar las fracciones mixtas

Convertir a fracciones impropias: $3\frac{1}{5}=\frac{16}{5}$, $1\frac{7}{8}=\frac{15}{8}$
$\frac{16}{5} \times \frac{15}{8} = \frac{240}{40} = 6$

Step8: Dividir las fracciones mixtas

Convertir a fracciones impropias: $1\frac{5}{7}=\frac{12}{7}$
$\frac{12}{7} \div \frac{9}{14} = \frac{12}{7} \times \frac{14}{9} = \frac{168}{63} = \frac{8}{3} = 2\frac{2}{3}$

Step9: Sumar los decimales

$9.02 + 17.859 + 6.423 = 33.302$

Step10: Restar los decimales

$8.1 - 7.2954 = 0.8046$

Step11: Multiplicar los decimales

$0.17 \times 2.3 = 0.391$

Step12: Dividir los decimales

$19.764 \div 5.49 = 3.6$

Step13: Calcular la potencia

$2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$

Answer:

a. 193,557
b. $\$85.96$
c. 321,056
d. 428
e. $20\frac{5}{12}$
f. $1\frac{17}{30}$
g. 6
h. $2\frac{2}{3}$
i. 33.302
j. 0.8046
k. 0.391
l. 3.6
m. 64