Question

Write each decimal number as a percent. $$0.01$$

Short answer

Question: Convert the decimal number 0.01 into a percentage. Answer: 1%

Step-by-step solution

Understand the relation between decimal numbers and percentages

To convert a decimal number to a percentage, remember that one whole (100%) can be represented as 1 in decimal form. Therefore, to to find the percentage of a decimal number, we need to multiply it by 100.

Multiply the decimal number by 100

Multiply the given decimal number, 0.01, by 100: $$ 0.01 \cdot 100 $$ Doing the multiplication, we get: $$ 1 $$

Write the answer as a percentage

Add the percentage (%) symbol to the result obtained in step 2: 1% The decimal number 0.01 can be written as 1% in percentage form.

Key concepts

Decimal to Percent Conversion

When it comes to converting decimal numbers to percentages, the process is straightforward. Imagine a whole, which is equivalent to 1 in decimal form, or 100% in percentage form. To transform a decimal to a percent, you simply multiply the decimal by 100.

As an example, let's take the decimal number 0.01. When you multiply 0.01 by 100, you perform the basic arithmetic operation of multiplication: \(0.01 \times 100 = 1\). After obtaining the result, you attach the percentage sign, %, making it 1%. This indicates that 0.01 as a decimal is equal to 1%.

Percentage Representation

Percentage representation is a way to express a number as a part of a whole, and is very common in comparing quantities or describing portions out of a hundred. Percentages are denoted using the percent symbol (%). In practical terms, if you have 100 items, and you take 1 of them, that represents 1% of the total.

Understanding how to represent numbers as percentages is critical for interpreting data, especially in fields like statistics, economics, and social sciences. This also underpins various real-world scenarios such as calculating discounts, interest rates, and proportions in recipes.

Basic Arithmetic Operations

The fundamental building blocks of mathematics include four basic arithmetic operations: addition, subtraction, multiplication, and division. These operations are not only crucial for daily mathematical tasks but also form the foundation for more complex mathematical theory and practice.

Multiplication, which is one of these operations, plays a vital role in converting decimals to percentages. As seen in the exercise, multiplying a decimal number by 100 scales it up to its equivalent percentage. Mastery of these operations aids in understanding more complex concepts.