Certainly! Let's solve each of the given expressions step-by-step, using the rules for the order of operations (PEMDAS/BODMAS).
### 1. [tex]\(1.4 \times (15 - 13) + 16\)[/tex]
1. Start by solving the expression inside the parentheses:
[tex]\[
15 - 13 = 2
\][/tex]
2. Next, multiply the result by 1.4:
[tex]\[
1.4 \times 2 = 2.8
\][/tex]
3. Finally, add 16 to the result:
[tex]\[
2.8 + 16 = 18.8
\][/tex]
So, the final result is:
[tex]\[
18.8
\][/tex]
### 2. [tex]\((93 + 7) \times 6 + 10\)[/tex]
1. Start by solving the expression inside the parentheses:
[tex]\[
93 + 7 = 100
\][/tex]
2. Next, multiply the result by 6:
[tex]\[
100 \times 6 = 600
\][/tex]
3. Finally, add 10 to the result:
[tex]\[
600 + 10 = 610
\][/tex]
So, the final result is:
[tex]\[
610
\][/tex]
### 3. [tex]\(12 \times 3 + (100 \div 10)\)[/tex]
1. Start by solving the division inside the parentheses:
[tex]\[
100 \div 10 = 10
\][/tex]
2. Next, multiply 12 by 3:
[tex]\[
12 \times 3 = 36
\][/tex]
3. Finally, add the results:
[tex]\[
36 + 10 = 46
\][/tex]
So, the final result is:
[tex]\[
46
\][/tex]
To summarize, the solutions to the given problems are:
1. [tex]\(1.4 \times (15 - 13) + 16 = 18.8\)[/tex]
2. [tex]\((93 + 7) \times 6 + 10 = 610\)[/tex]
3. [tex]\(12 \times 3 + (100 \div 10) = 46\)[/tex]
