[tex]1 + 2 \times ( {3}^{2} \div 9 - 1) \div 3 + {100}^{0} [/tex]
[tex] = 1 + 2 \times (9 \div 9 - 1) \div 3 + 1[/tex]
[tex] = 1 + 2 \times (1 - 1) \div 3 + 1[/tex]
[tex] = 1 + 2 \times 0 \div 3 + 1[/tex]
[tex] = 1 + 0 \div 3 + 1[/tex]
[tex] = 1 + 0 + 1[/tex]
[tex] = 2[/tex]