Question

Find each result using any method you like. \(0.55 \%\) of 100

Short answer

0.55

Step-by-step solution

Understand the Problem

To find what 0.55% of 100 is, understand that percent means 'per hundred.' So, 0.55% is equivalent to 0.55 out of every 100 units.

Convert the Percentage to a Decimal

Convert 0.55% to a decimal by dividing it by 100. Thus, \[ 0.55\text{\text%} = \frac{0.55}{100} = 0.0055 \]

Multiply by the Total

Now, multiply 0.0055 by 100 to find 0.55% of 100. \[ 0.0055 \times 100 = 0.55 \]

Key concepts

converting percentage to decimal

When you encounter percentages, it's helpful to convert them into decimals for easier calculations. Converting a percentage to a decimal involves a simple process: divide the percentage by 100.

For example, to convert 0.55% to a decimal: divide 0.55 by 100: \(\frac{0.55}{100} = 0.0055\).

This conversion technique is essential because it allows you to work with smaller and more manageable numbers, especially when you perform multiplication or other arithmetic operations. Converting between percentages and decimals is foundational for many real-world applications, such as calculating discounts or interest rates.

multiplication

In this exercise, multiplication is used to find the part of the total represented by the percentage. Once you've converted a percentage to a decimal, you multiply this decimal by the total quantity in question.

For instance, to find 0.55% of 100, you first convert 0.55% to a decimal, which is 0.0055. Then, you multiply this decimal by the total: \(\text{0.0055} \times 100 = 0.55\).

This step ensures that you correctly calculate the portion of the total represented by the percentage. Multiplication in this context scales the decimal value to the appropriate size according to the total quantity.

basic arithmetic

Basic arithmetic involves addition, subtraction, multiplication, and division. Understanding these operations is essential for solving many mathematical problems, including the one in this exercise.

In the given problem, multiplication and division are the key arithmetic operations. You first convert the percentage to a decimal by dividing by 100. Then, you multiply the decimal by the total to find your answer.

Breaking down problems into these fundamental steps can make more complex calculations manageable. It's important to practice these operations regularly to develop confidence and proficiency.