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Chapter 6: Problem 104

Translate and solve. 800% of 2,250 is what number?

Short Answer

Expert verified
The number is 18,000.

Step by step solution

01

Convert Percentage to a Decimal

To find 800% of 2,250, first convert 800% to a decimal. To do this, divide 800 by 100: \[ 800 \, \text{ \text{ 梅 } } \, 100 \, = \, 8 \, \text {(\text{ decimal form of 800%)}} \]
02

Multiply the Decimal by the Number

Next, multiply the decimal form by 2,250: \[ 8 \, \text{ 脳 } \, 2,250 \, = \, 18,000 \]
03

State the Result

The result of 800% of 2,250 is 18,000.

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Key Concepts

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

Converting percentages to decimals
One of the first steps in solving percentage-related problems is converting percentages to decimals. It's quite simple! You just need to remember that a percentage is essentially a fraction out of 100.
For example, to convert 800%, you divide by 100:
  • 800 梅 100 = 8
So, 800% as a decimal is 8. This method works for any percentage: to convert it to a decimal, simply divide by 100. This will make calculations easier and more manageable.
Multiplying decimals
Once you've converted the percentage to its decimal form, the next step is often to multiply it by another number. Multiplying decimals is almost the same as multiplying whole numbers, but you have to place the decimal point correctly in the product.
Let's use our example to demonstrate this:
  • We want to find 800% of 2,250. We've converted 800% to 8.
  • Now, multiply 8 by 2,250: 8 脳 2,250 = 18,000
This gives us 18,000. Remember, the key to multiplying decimals is aligning the decimal points properly if you're not dealing with whole numbers.
Percentage problems
Percentage problems can often appear tricky but breaking them down into smaller steps makes them manageable. Usually, they involve converting a percentage to a decimal and then performing additional operations like multiplication or division.
Here's the problem we solved: '800% of 2,250 is what number?'
  • First, we converted 800% to a decimal (which was 8).
  • Next, we multiplied this decimal by 2,250 to get our final answer: 8 脳 2,250 = 18,000.
By systematically converting and then multiplying, percentage problems become quite straightforward. Always remember to break down the problem into smaller parts for easier solving.

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