Question

COLUMN A: 0.01% of 1,000
COLUMN B: 1

• A. The quantity in Column A is greater.
• B. The quantity in Column B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Hint:

Be very careful with decimal percentages. A common mistake is to confuse 0.01% with 0.01. Remember that the "%" sign means "divide by 100," so 0.01% is \(0.01 \div 100 = 0.0001\).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This question requires calculating a percentage of a number and comparing it to another number. The key is to correctly convert the percentage to a decimal or fraction.
Step 2: Key Formula or Approach:
"P percent of a number" means \( \frac{P}{100} \times \text{Number} \). In this case, P = 0.01.
Step 3: Detailed Explanation:
Column A: We need to calculate 0.01% of 1,000. First, convert the percentage to a decimal. \[ 0.01% = \frac{0.01}{100} = 0.0001 \] Now, multiply this decimal by 1,000. \[ 0.0001 \times 1,000 = 0.1 \] Multiplying by 1,000 moves the decimal point 3 places to the right. So, the quantity in Column A is 0.1. Column B: The quantity is 1. Comparison: We are comparing 0.1 (Column A) with 1 (Column B). Since \(0.1<1\), the quantity in Column B is greater.
Step 4: Final Answer:
0.01% of 1,000 is 0.1, which is less than 1.