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2+2\times 0.1+2\times 0.01
Multiply 2 and 1 to get 2.
2+0.2+2\times 0.01
Multiply 2 and 0.1 to get 0.2.
2.2+2\times 0.01
Add 2 and 0.2 to get 2.2.
2.2+0.02
Multiply 2 and 0.01 to get 0.02.
2.22
Add 2.2 and 0.02 to get 2.22.