College

Calculate, respecting the order of operations:

a) [tex]240 - 120 + 80[/tex]

b) [tex]200 + \frac{80}{40}[/tex]

c) [tex]5 \cdot 38 - \frac{70}{8} - 6[/tex]

Answer :

Sure, let's solve each part of the question step-by-step!

a) [tex]\( 240 - 120 + 80 \)[/tex]

1. First, subtract 120 from 240:
[tex]\[
240 - 120 = 120
\][/tex]

2. Next, add 80 to the result:
[tex]\[
120 + 80 = 200
\][/tex]

So, the answer for part a) is [tex]\( 200 \)[/tex].

---

b) [tex]\( 200 + \frac{80}{40} \)[/tex]

1. Begin by dividing 80 by 40:
[tex]\[
\frac{80}{40} = 2
\][/tex]

2. Add the result to 200:
[tex]\[
200 + 2 = 202
\][/tex]

So, the answer for part b) is [tex]\( 202 \)[/tex].

---

c) [tex]\( 5 \times 38 - \frac{70}{8} - 6 \)[/tex]

1. Start by calculating [tex]\( 5 \times 38 \)[/tex]:
[tex]\[
5 \times 38 = 190
\][/tex]

2. Next, divide 70 by 8:
[tex]\[
\frac{70}{8} = 8.75
\][/tex]

3. Subtract 8.75 from 190:
[tex]\[
190 - 8.75 = 181.25
\][/tex]

4. Finally, subtract 6 from the result:
[tex]\[
181.25 - 6 = 175.25
\][/tex]

So, the answer for part c) is [tex]\( 175.25 \)[/tex].

Therefore, the answers are:
- a) 200
- b) 202
- c) 175.25