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Chapter 8: Problem 16

Translate to an equation and solve. What number is \(5 \%\) of \(44 ?\)

Short Answer

Expert verified
Answer: 2.2

Step by step solution

01

Understanding the percentage of a number

When we say "5% of 44," we mean "5 percent or 5 parts of 100 parts of 44." To convert the percentage into a decimal, we divide it by 100, so 5% = 5/100 = 0.05.
02

Setting up the equation

To find 5% of 44, we need to multiply the decimal form of 5% (0.05) by 44. So, the equation will be: x = 0.05 * 44
03

Solving the equation

Now, we will multiply 0.05 by 44: x = 2.2 The number that is 5% of 44 is 2.2.

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Key Concepts

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

Equation Translation
Translating verbal statements into mathematical equations is a key skill in problem-solving. In our case, the question asks, "What number is \(5\%\) of \(44\)?"
This phrase needs to be translated into an equation to solve it. The keyword "of" usually means multiplication in mathematical terms. So, "5\% of 44" translates to \(0.05 \times 44\). This equation helps us find the unknown number or percentage.
  • "What number" suggests we are looking for a variable, often represented as \(x\).
  • "5\%" needs to be converted to a more usable form, which is where decimal conversion comes in.
  • "Is" implies equality, suggesting an equation like \(x = 0.05 \times 44\).

By knowing these keywords and conversions, you can easily translate word problems into equations.
Decimal Conversion
Decimal conversion is the process of changing a percentage into a decimal. Percentages are based on the number 100, meaning "per one hundred."
To convert a percentage to a decimal, divide by 100. This is crucial for performing calculations. For example, converting \(5\%\) into a decimal involves:
  • Taking the percentage value, here \(5\).
  • Dividing it by \(100\).
  • This gives us \(0.05\).

The decimal 0.05 can now be used in equations for easy calculations. Remember, every percentage can be directly converted by simply moving the decimal point two places to the left. This makes it much easier to multiply or divide in further steps.
Percentage Calculation
Calculating a percentage of a number involves a straightforward multiplication once you have translated and converted. In our case, you need to find \(5\%\) of \(44\). After translating and converting:\[x = 0.05 \times 44\] Follow these steps:
  • Multiply the decimal form of the percentage, \(0.05\), by the number \(44\).
  • This calculation results in \(x = 2.2\).

Therefore, the number that represents \(5\%\) of \(44\) is \(2.2\). Using these simple steps, you can find percentages for any number, making it a valuable problem-solving tool.

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