Solution:
To solve this problem, we will need to use the "BODMAS".
Solving the expression:
[tex]\bullet \ \ 6 \div 2(1 + 2)[/tex]
First, simplify the expression inside the brackets.
[tex]\bullet \rightarrow 6 \div 2(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Bracket addition}][/tex]
Now, 2(3) can also be written as 2 × 3, as 2(3) and 2 × 3 are equivalent.
[tex]\bullet \rightarrow 6 \div 2 \times 3[/tex]
According to the BODMAS, division first.
[tex]\bullet \rightarrow 3 \times 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Division}][/tex]
According to the BODMAS, multiplication next.
[tex]\bullet \rightarrow \boxed{\bold{9}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Multiplication}][/tex]
Thus, the solution to 6 ÷ 2(1 + 2) is 9.
