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Chapter 4: Problem 54

Convert from cents to dollars. $$95垄 $$

Short Answer

Expert verified
0.95 dollars

Step by step solution

01

Understand the Conversion Rate

100 cents is equal to 1 dollar. This is the basic conversion rate between cents and dollars you need to remember.
02

Divide by 100

To convert cents to dollars, divide the number of cents by 100 because there are 100 cents in 1 dollar.
03

Perform the Calculation

Take 95 cents and divide it by 100. So, \[ \frac{95}{100} = 0.95 \].
04

Write the Answer in Dollar Form

The result from the division is 0.95. Therefore, 95 cents is equal to 0.95 dollars.

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Key Concepts

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

Basic Conversion Rate
A conversion rate is a number used to change one unit to another. For converting cents to dollars, the basic conversion rate is crucial. Always remember that 100 cents is equal to 1 dollar. This understanding forms the foundation for all other calculations.
It helps to think of cents and dollars as being part of the same system. Just like 100 pennies make 1 dollar, 100 cents also make up 1 dollar.
Divide by 100
To change cents into dollars, you should divide the number of cents by 100. This is because 1 dollar is made up of 100 cents. Use this step to get the dollar value directly from the given cents.
Dividing by 100 can be simpler than it sounds. Picture it like shifting the decimal point two places to the left. This action effectively changes the cents into their dollar equivalent.
Perform Calculation
Once you know you need to divide by 100, the next step is to actually do the math. If you have 95 cents, you divide 95 by 100. This is often written like this: \[ \frac{95}{100} = 0.95 \]
Breaking this down, \[95 \div\ 100 = 0.95\]. Here, 95 undergoes mathematical division by 100, resulting in 0.95.
Now, you have successfully performed the calculation. This step ensures accuracy in converting cents to dollars.
Dollar Form
After performing the calculation, the last step is to write the answer correctly in dollar form. For example, after dividing 95 cents by 100, you get 0.95.
So, you write the answer as \(0.95\) dollars. This form is crucial as it shows that you have converted cents to a recognizable dollar amount. When finished, 95 cents is the same as \(0.95\) dollars.
Always remember to double-check your work. This confirmation can help avoid simple mistakes.

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