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Chapter 6: Problem 99

Translate and solve. What number is 65% of 100?

Short Answer

Expert verified
65

Step by step solution

01

- Understand the Problem

The question asks to find 65% of 100. This means you need to find a number that represents 65 percent of the number 100.
02

- Convert Percentage to Decimal

Percentages can be converted to decimals by dividing by 100. So, 65% can be written as 0.65.
03

- Multiply

Multiply the decimal form of the percentage by the number: \(0.65 \times 100 = 65\)
04

- Write the Final Answer

The final answer is the result from the multiplication in Step 3.

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Key Concepts

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

percentage to decimal conversion
Converting a percentage to a decimal is an essential step in many math problems.
To perform this conversion, you divide the percentage by 100.
Moving the decimal point two places to the left accomplishes this. For example, to convert 65% to a decimal, you compute:

65 梅 100 = 0.65

This simple technique works for any percentage.
If you have a larger or smaller percentage, the process is the same.
For example:
  • 20% becomes 0.20
  • 125% becomes 1.25
  • 5.5% becomes 0.055
Using this conversion makes it straightforward to perform calculations with percentages.
multiplication
Knowing how to multiply decimals is critical when working with percentages.
Let's take the example, 65% of 100. After converting 65% to 0.65, the next step is to multiply by the given number.
In this case:

0.65 脳 100
When multiplying a decimal by 100, you're essentially shifting the decimal point two places to the right.
So, 0.65 multiplied by 100 becomes 65.
Here are some other examples:
  • 0.25 脳 200 = 50
  • 1.5 脳 50 = 75
  • 0.1 脳 10 = 1

Practicing these calculations can help strengthen your understanding.
problem-solving steps
When solving math problems, following systematic steps can simplify the process.
Let's unpack the steps taken to solve 'What number is 65% of 100?':
  • Step 1: Understand the Problem
    Clearly identify what is being asked. In this case, finding 65% of 100.
  • Step 2: Convert Percentage to Decimal
    Change 65% to 0.65 by dividing by 100.
  • Step 3: Multiply
    Multiply the decimal (0.65) by the given number (100).
  • Step 4: Write the Final Answer
    After the multiplication, write down the result (65 in this case).

Applying these problem-solving steps to various questions can streamline the process.
Practice regularly to improve accuracy and speed.

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Most popular questions from this chapter

In the following exercises, convert each percent to (a) a decimal (b) a simplified fraction. $$ 24 \% $$

In the following exercises, solve the percent problem. Kyle bought a bicycle in Denver where the sales tax was 7.72\(\%\) of the purchase price. The purchase price of the bicycle was \(\$ 600\) . What was the total cost?

In the following exercises, write each sentence as a proportion. $$ \frac{11.6}{9.2}=\frac{37.12}{29.44} $$

In the following exercises, solve the percent problem. 150\(\%\) of what number is 60\(?\)

In the following exercises, translate and solve using proportions. \(\$ 3.51\) is 4.5\(\%\) of what number?
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