1/4 of 1% expressed as a decimal
The Correct Answer and Explanation is:
To express 1/4 of 1% as a decimal, let’s break down the process step by step.
Step 1: Convert 1% to a decimal
1% is equivalent to 1 out of 100, which can be written as a fraction:
[
1\% = \frac{1}{100} = 0.01
]
So, 1% as a decimal is 0.01.
Step 2: Find 1/4 of 1%
Now, we need to find 1/4 of 1%. To do this, we multiply the decimal equivalent of 1% by 1/4:
[
\frac{1}{4} \times 0.01 = 0.0025
]
Thus, 1/4 of 1% expressed as a decimal is 0.0025.
Explanation of the Steps
- Converting Percentage to Decimal:
To convert a percentage to a decimal, divide the percentage by 100. The number 1% means 1 out of 100, so when you divide 1 by 100, you get 0.01. This is the decimal form of 1%. - Finding a Fraction of a Decimal:
Once 1% is converted to 0.01, finding 1/4 of 1% involves multiplying this decimal by 1/4. The fraction 1/4 is the same as dividing by 4. So, multiplying 0.01 by 1/4 gives 0.0025. This shows that 1/4 of 1% is a smaller portion of the original percentage.
Step 3: Check the Result
To verify, you can think of it in terms of basic fractions. 1% of a value is a small amount, and 1/4 of 1% further reduces that amount. Hence, 1/4 of 1% is 0.0025, which makes sense when compared to the original 0.01 (the decimal form of 1%).
Thus, 1/4 of 1% expressed as a decimal is 0.0025.