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8.2\times 100+4\times 10^{3}
Calculate 10 to the power of 2 and get 100.
820+4\times 10^{3}
Multiply 8.2 and 100 to get 820.
820+4\times 1000
Calculate 10 to the power of 3 and get 1000.
820+4000
Multiply 4 and 1000 to get 4000.
4820
Add 820 and 4000 to get 4820.