What percent of 4 km is 8 meters? Choose the option and also show the method. Option – 0.4, 0.2, 0.8, none of these.
The Correct Answer and Explanation is:
Correct Option: 0.2
Step-by-Step Method:
Step 1: Convert 4 kilometers to meters
We know:
1 kilometer = 1000 meters
So:
4 kilometers = 4 × 1000 = 4000 meters
Step 2: Find what percent 8 meters is of 4000 meters
Use the percent formula:
(Part ÷ Whole) × 100
In this case:
(8 ÷ 4000) × 100 = 0.002 × 100 = 0.2
Explanation in 300 Words:
To find what percent 8 meters is of 4 kilometers, we first need to convert both quantities to the same unit. Since kilometers and meters measure distance, and 1 kilometer equals 1000 meters, we multiply 4 kilometers by 1000 to get 4000 meters.
Once both values are in meters, we can easily compare them using the percentage formula, which is:
(Part ÷ Whole) × 100
Here, the “part” is the smaller value (8 meters) and the “whole” is the larger value (4000 meters). Dividing 8 by 4000 gives us 0.002. To convert this decimal into a percentage, we multiply by 100. So:
0.002 × 100 = 0.2
This means that 8 meters is 0.2 percent of 4 kilometers.
It is very important to make sure both units are the same before performing any percentage calculations. If we tried to divide 8 by 4 directly, without converting kilometers to meters, we would get the wrong answer because 8 meters and 4 kilometers are not the same type of measure numerically. This mistake often leads to incorrect results.
From the given options — 0.4, 0.2, 0.8, none of these — the correct one is 0.2.
Therefore, the final answer is:
0.2 percent of 4 kilometers is 8 meters.
