Option 1 : 0.8

Given:

Number = 79.412

Concept used:

Face value = Value of the digit itself

Place value = Face value × numerical value of the place.

Calculation:

Number = 79.412

The face value of 4 = 4

The place value of 4 = 4 × 0.1

⇒ .0.4

According to the question,

m = 0.4

⇒ 2m = 2 × 0.4

⇒ 2m = 0.8

∴ The the value of 2m is 0.8.

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