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Chapter 2: Problem 2

Find each number described. See Examples I and 2. What number is \(88 \%\) of \(1000 ?\)

Short Answer

Expert verified
880

Step by step solution

01

Convert Percentage to Decimal

First, we need to convert the percentage given in the problem into a decimal. This is done by dividing the percentage by 100. So, for 88%, we have: \( \frac{88}{100} = 0.88 \).
02

Multiply Decimal by the Whole Number

Now, use the decimal form of the percentage to calculate 88% of 1000 by multiplying it by the given whole number. So, \( 0.88 \times 1000 = 880 \).
03

Result Interpretation

The result from the multiplication provides the number that represents 88% of 1000. Thus, 88% of 1000 is 880.

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Key Concepts

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

Decimal Conversion
When working with percentages, a common task is to convert them to their decimal form. This process is quite straightforward. A percentage represents a part of 100, so to convert a percentage to a decimal, divide the percentage number by 100.
For instance, if you have 88%, you perform the division as follows:
  • Take the percentage (88%)
  • Divide it by 100: \( \frac{88}{100} = 0.88 \)
This calculation converts the percentage to its decimal form, 0.88.
Decimal conversion is essential when you鈥檙e preparing to perform arithmetic operations, such as multiplication or addition, with percentages.
Multiplication
Once you have converted your percentage into a decimal, the next step is multiplication. To find a percentage of a number, you multiply the decimal version of your percentage by the number involved.
In our example, we need to find 88% of 1000, which means using the decimal 0.88:
  • The calculation to perform is \( 0.88 \times 1000 \)
  • This yields a product of 880
Multiplication provides the means to scale numbers and understand the portion of a whole that your percentage represents.
This step is crucial in various applications, from financial calculations to statistical data analysis.
Problem Solving
Problem solving using percentage calculations requires the ability to clearly understand the process from start to finish. Begin by carefully evaluating what the problem is asking you to find.
In our exercise, the goal was to determine what number is 88% of 1000. Here's the smooth pathway to reach the solution:
  • First, interpret the problem statement and identify the numbers involved
  • Convert the percentage to a decimal
  • Multiply the decimal and the whole number
  • Interpret the multiplication result to finalize the solution
Applying this structured approach helps manage each component step by step, ensuring clarity and accuracy.
Mastering these steps boosts your confidence in tackling similar problems you may encounter in different scenarios.

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