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3\times 10^{2}+80+2
Multiply 8 and 10 to get 80. Multiply 2 and 1 to get 2.
3\times 100+80+2
Calculate 10 to the power of 2 and get 100.
300+80+2
Multiply 3 and 100 to get 300.
380+2
Add 300 and 80 to get 380.
382
Add 380 and 2 to get 382.