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Chapter 4: Problem 56

Solve. What number is \(17 \%\) of \(18 ?\)

Short Answer

Expert verified
3.06

Step by step solution

01

Understand the problem

We need to find out what number represents 17% of 18.
02

Convert percentage to a decimal

To convert 17% to a decimal, divide 17 by 100. 17% = 0.17
03

Multiply the decimal by the number

Multiply the decimal obtained in the previous step by 18. 0.17 脳 18
04

Perform the multiplication

Calculate 0.17 multiplied by 18 to get the result. 0.17 脳 18 = 3.06
05

Write the final answer

The number that is 17% of 18 is 3.06.

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Key Concepts

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

Converting Percentages to Decimals
Understanding how to convert percentages to decimals is an essential mathematical skill. To convert a percentage like 17% to a decimal, you simply divide by 100. In this case, 17 divided by 100 gives us 0.17.
This step can be achieved by:
  • Moving the decimal point two places to the left.
  • For example, 17% becomes 0.17.

Converting percentages to decimals simplifies the process of multiplication in problems such as finding 17% of 18.
The decimal form is easier to work with in further calculations.
Multiplication
After converting the percentage to a decimal, the next step is straightforward multiplication. Here, we need to multiply the decimal 0.17 by the number in question, which is 18.
This is done as follows: \[ 0.17 \times 18 \approx 3.06 \]
  • Step-by-step, multiply the numbers as you would with whole numbers.
  • Then, count the decimal places in the original numbers and place the decimal point in the product accordingly.

Practicing multiplication with decimals reinforces both your arithmetic and problem-solving skills.
Step-by-Step Problem Solving
Let's walk through the entire process to solve the problem 'What number is 17% of 18?' again:
  • **Step 1: Understand the problem** - We need to find 17% of the number 18.
  • **Step 2: Convert percentage to a decimal** - Convert 17% to a decimal by dividing by 100, giving us 0.17.
  • **Step 3: Multiply the decimal by the number** - Calculate \[ 0.17 \times 18 \]
  • **Step 4: Perform the multiplication** - Multiply to get 3.06.
  • **Step 5: Write the final answer** - The number that is 17% of 18 is 3.06.
Following a step-by-step approach ensures that each stage of the problem is executed correctly, leading to the right solution. This method can be applied to various percentage-based problems for consistent results.

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