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An inch is approximately equal to 0.02543 meters, then the distance in standard form will be;

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2.543 × 10 − 3

2.543 × 10 − 2

2.543 × 102

2.543 × 103

answer is B.

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Detailed Solution

It is given an inch is approximately equal to 0.02543 meters.
In exponents the standard form of a number is written as a decimal number between

and

, multiplied by power of 10.
Representing 0.02543 as follows

⇒ 0.02543 = 002543100000

⇒ 0.02543 = 2543100000

………….. (1)
Use in equation (1) in exponent form

⇒ 0.02543 = 2543 1000 × 102 ⇒ 0.02543 = 2.543 102 … … … … … 2

Using exponents law

1 a m = a − m

in equation (2)

⇒ 0.02543 = 2.543 × 10 − 2

Therefore, the standard form for 0.02543 meters is

2.543 × 10 − 2

.
Hence option (2) is correct.

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