Question

Which of the following is the most accurate
(a) 200.0 m (b) 20 × 10¹ m
(c) 2 × 10² m (d) data is inadequate

Answer 1

Answer:200.0

Explanation:because on mesurment take more small unit it more accurate

Answer 2

Answer:

the most accurate is option A, which is (200.0m)

Explanation:

The accuracy equals the no of significant figures.

the high the significant figures the high accuracy.

calculation of the significant figures:

The following significant digit rules are used.

• Addition (+) and subtraction (-) round the number of decimal places to the minimum.
• Multiplies (* or ×) and divisions (/ or ÷) are rounded to the least significant digit.
• Logarithm (log, ln) uses the number of significant digits in the input as the scale of the result.
• Antilogarithm (n ^ x.y) uses the number of digits after the decimal point (mantissa) of the power as the number of significant digits in the result.
• Exponentiation (n ^ x) rounds only significant digits in the base.  To count trailing zeros, add a decimal point at the end (eg 1000) or use scientific notation (eg 1,000 x 10 ^ 3 or 1,000e3).
• If zero, all  digits are counted as important (for example, 0 = 1, 0.00 = 3).
• If necessary, round after the parentheses and in the last step.

let's check the options:

1. option A : it has 4 significant figures.
2. option B : it has 3 significant figures.
3. option C : it has 3 significant figures.

therefore, according to the explanation, the highest or the most accurate is option A (200.0m)

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