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Chapter 2: Problem 92

Solve each problem. What is \(26 \%\) of \(480 ?\)

Short Answer

Expert verified
124.8

Step by step solution

01

- Convert Percentage to Decimal

To find 26% of 480, first convert the percentage to a decimal. Since 1% is equal to 0.01 in decimal form, 26% is equal to 26 * 0.01.
02

- Calculate the Decimal Form

Multiply 26 by 0.01: \[ 26 \times 0.01 = 0.26 \]
03

- Multiply by 480

Now that the percentage is converted to a decimal, find 26% of 480 by multiplying the decimal form by 480: \[ 0.26 \times 480 \]
04

- Perform the Multiplication

Calculate the multiplication: \[ 0.26 \times 480 = 124.8 \]
05

- Interpret the Result

The result of the multiplication is 124.8. Therefore, 26% of 480 is 124.8.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

percentage calculation
Percentage calculation is a fundamental concept in mathematics. It helps us understand parts of a whole in a simplified manner. For example, if you want to find what 26% of 480 is, you're essentially trying to find 26 parts out of 100 parts of 480.
decimal conversion
Decimal conversion occurs when you change a percentage into a decimal to simplify calculations. Here's how you do it:

Convert a percentage (like 26%) by dividing by 100: \[ 26 \div 100 = 0.26 \]. Understanding how to convert percentages to decimals is crucial for solving percentage problems.
basic arithmetic
Basic arithmetic is essential for solving percentage problems. In this case, we multiply the decimal (0.26) by the whole number (480).

Performing arithmetic operations accurately ensures accurate results, for instance:
- Calculate 0.26 \(\times\) 480: \[ 0.26 \times 480 = 124.8 \]
Thus, 26% of 480 is easily found using basic multiplication.

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