The square of 0.01 can be represented in percentage form by which of the…

2019

The square of 0.01 can be represented in percentage form by which of the following statements?

Statement

Expression

I

0.01%

II

1/100

III

1%

IV

1/100%

  1. A.

    I and II

  2. B.

    II and III

  3. C.

    I and III

  4. D.

    I and IV

Attempted by 18 students.

Show answer & explanation

Correct answer: D

Concept

To convert a decimal to a percentage, multiply it by 100 and attach the percent sign. Conversely, p% means p/100 of one whole. Squaring a decimal multiplies the decimal by itself before the percentage conversion.

Application

  1. Square the decimal: 0.01 × 0.01 = 0.0001.

  2. Convert the result to a percentage: 0.0001 × 100 = 0.01%.

  3. Interpret the fractional percentage: 1/100% means one hundredth of one percent, which is 0.01%.

Cross-check

Converting 0.01% back to a decimal gives 0.01 ÷ 100 = 0.0001, the same as the square.

Result

Therefore, 0.01% and 1/100% both represent the required percentage.

Explore the full course: Rssb Senior Computer Instructor

Loading lesson…