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Chapter 6: Problem 105

Translate and solve. 600% of 1,740 is what number?

Short Answer

Expert verified
10,440

Step by step solution

01

Understand the Problem

The objective is to find what number is 600% of 1,740.
02

Convert Percentage to Decimal

To work with the percentage, convert 600% into a decimal. Divide by 100. \[ 600\text{\textpercent} = \frac{600}{100} = 6 \]
03

Multiply by the Given Number

Multiply the decimal form of 600% by 1,740 to find the number. \[ 6 \times 1740 \]
04

Perform the Calculation

Carry out the multiplication.\[ 6 \times 1740 = 10,440 \]
05

Write the Answer

Therefore, 600% of 1,740 is 10,440.

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Key Concepts

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

Percentage to Decimal Conversion
When you need to work with percentages in calculations, it's important to convert them to decimal form first. This is done by dividing the percentage by 100.
For example, to convert 600% to a decimal, you would calculate: ewline \[ 600\text{\textpercent} = \frac{600}{100} = 6 \] ewline This conversion is essential because it simplifies the multiplication process, making your calculations straightforward.
Multiplication
Once the percentage is converted to a decimal, the next step involves multiplication.
Multiplication is the operation you use to combine the decimal form of the percentage with the given number.
For instance, if we need to find 600% of 1,740, we multiply the decimal value (which is 6) by 1,740:
\[ 6 \times 1740 \] ewline This step gives us the product that represents 600% of the number 1,740.
Problem-Solving Steps
Let's combine the above concepts into clear, actionable steps for solving percentage problems: ewline
  • Understand the problem: Identify what is being asked. In our example, we need to find what number 600% of 1,740 is.

  • Convert the percentage to a decimal: Use division to make the percentage easier to work with in calculations.\[ \frac{600}{100} = 6 \]

  • Multiply by the given number: Take the decimal and multiply it by the number in the problem.\[ 6 \times 1740 \]

  • Perform the calculation: Complete the multiplication to find the answer.\[ 6 \times 1740 = 10,440 \]

  • Write the answer: Clearly state the result. In this case, 600% of 1,740 is 10,440.
These steps will help you systematically solve percentage problems with ease, ensuring accuracy every time.

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Most popular questions from this chapter

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