A calculator shows the value 0.00263. Express this as a percentage, rounded to two decimal places.

Introduction / Context:Converting decimal numbers to percentages is a basic numerical skill used throughout electronics, statistics, and tolerance calculations. Many specifications and datasheets present errors and tolerances in percent format for easy comparison.

Given Data / Assumptions:

• Decimal value: 0.00263.
• Requested output: percent form, rounded to two decimal places.

Concept / Approach:The conversion rule is simple: percent = decimal * 100. Rounding to two decimals means we present the percentage with two digits after the decimal point, consistent with common reporting conventions.

Step-by-Step Solution:Multiply by 100: 0.00263 * 100 = 0.263 %.Round to two decimals: 0.263 % rounds to 0.26 % (since the third decimal digit is 3).Therefore, the reported percentage is 0.26 %.

Verification / Alternative check:Reverse the operation: 0.26 % / 100 = 0.0026, which is close to the original 0.00263 with a rounding difference of 0.00003, consistent with two-decimal rounding requirements.

Why Other Options Are Wrong:

• 0.026%: Off by a factor of 10 (equivalent to 0.00026 as a decimal).
• 2.63% and 26.3%: Off by factors of 10^1 and 10^2; these misplace the decimal point in conversion.

Common Pitfalls:

• Forgetting to multiply by 100, or moving the decimal two places in the wrong direction.
• Rounding to the wrong number of decimal places or prematurely rounding intermediate steps.

Final Answer:0.26%