Sure! Let's solve the expression [tex]$12 \div 3 \times 12 + 10$[/tex] by following the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
1. Division and Multiplication (from left to right):
- First, perform the division:
[tex]\[
12 \div 3 = 4
\][/tex]
- Next, use the result from the division to perform the multiplication:
[tex]\[
4 \times 12 = 48
\][/tex]
2. Addition:
- Finally, take the result from the multiplication and add 10:
[tex]\[
48 + 10 = 58
\][/tex]
So, the detailed step-by-step solution of the expression [tex]$12 \div 3 \times 12 + 10$[/tex] is:
[tex]\[ \boxed{58} \][/tex]
