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Chapter 4: Problem 56

Convert from cents to dollars. $$933垄 $$

Short Answer

Expert verified
933垄 equals 9.33 dollars.

Step by step solution

01

Understand the Relationship Between Cents and Dollars

1 dollar is equivalent to 100 cents. This means to convert cents to dollars, you divide the number of cents by 100.
02

Set Up the Conversion

Write down the given amount in cents and set it up for conversion. Given: 933垄. To convert to dollars, divide 933 by 100.
03

Perform the Division

Divide 933 by 100: \[ 933 \text{垄} \times \frac{1 \text{ dollar}}{100 \text{垄}} = \frac{933}{100} \text{ dollars} = 9.33 \text{ dollars} \]
04

Write the Final Answer

The conversion of 933垄 to dollars is 9.33 dollars.

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Key Concepts

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

Basic Arithmetic for Converting Cents to Dollars
At its heart, converting cents to dollars is a simple arithmetic problem. We use basic mathematical operations like division to make this conversion.
In our example of converting 933 cents to dollars, we鈥檙e essentially breaking a larger unit (cents) into smaller units (dollars).
Understanding basic arithmetic provides the foundation for solving not only currency conversions but many real-life problems too.
Remember:
  • Basic arithmetic functions: addition, subtraction, multiplication, and division
  • Division plays a key role in currency conversion because it helps break one larger value into smaller, more manageable units.
Understanding Currency Conversion
Currency conversion means changing money from one unit to another. For example, from cents to dollars.
When dealing with currency, 1 dollar almost always equals 100 cents. This provides a simple ratio that helps in the conversion process.
To better understand:
  • 1 dollar = 100 cents
  • To convert cents to dollars, you divide by 100
By setting up this ratio, you make it easy to see how many dollars a certain number of cents represents. For instance, converting 933 cents to dollars means dividing 933 by 100. This equals 9.33 dollars.
Conversions often follow similar principles no matter the units of currency.
Division in Currency Conversion
Division is a central mathematical operation in many types of conversions, especially in currency conversion.
To convert cents to dollars, we divide the number of cents by 100.
Here鈥檚 a breakdown of the steps:
  • Start with the number of cents (933 in this case).
  • Set up the division problem: \ \[ \frac{933}{100} \]
  • Perform the division: 933 divided by 100 equals 9.33.
  • The result gives you the equivalent amount in dollars.
Therefore, 933 cents converted to dollars is 9.33 dollars.
Practicing dividing by 100 consistently will help you make quick and accurate currency conversions in the future.

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