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Convert each decimal to a percent. $$ 0.983 $$

Short Answer

Expert verified
98.3%

Step by step solution

01

- Understand the Decimal

The given number is a decimal, which is 0.983. Remember that converting a decimal to a percent involves moving the decimal point two places to the right.
02

- Move the Decimal Point

To convert 0.983 to a percent, move the decimal point two places to the right. Doing this gives you 98.3.
03

- Add the Percent Symbol

After moving the decimal point, the result is 98.3. Now, add the percent symbol (%) to indicate that the number is a percentage.
04

- Final Answer

Therefore, 0.983 as a percent is 98.3%.

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Key Concepts

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

Decimal Points
Decimals are numbers that include a decimal point to represent a fraction of a whole number. The value of digits after the decimal point corresponds to powers of ten. For example, in the number 0.983:

- The digit 9 is in the tenths place, representing 9/10 or 0.9.
- The digit 8 is in the hundredths place, representing 8/100 or 0.08.
- The digit 3 is in the thousandths place, representing 3/1000 or 0.003.

Understanding decimal places is crucial for conversions. Simply put, your task often involves shifting these places.
Percentages
A percentage is a way to express a number as a part of 100. It is derived from the word 'percent,' meaning 'per hundred.' For instance, 50% equates to 50 out of 100. Mathematically, a percentage can be written as:

\[ \text{{Number}} \times 100\text{{%}} \] This is useful in many areas like statistics, finance, and daily life to standardize figures and make comparisons simple.
Conversion Steps
Converting from a decimal to a percentage involves simple steps that are easy to follow. Here's a detailed breakdown based on the example: 0.983 to 98.3%.

Step 1: Understand the Decimal

Identify your decimal number (e.g., 0.983).
Step 2: Move the Decimal Point

To change the decimal to a percent, move the decimal point two places to the right. This action is equivalent to multiplying the number by 100:

\[ 0.983 \times 100 = 98.3 \]
Step 3: Add the Percent Symbol

After moving the decimal point, append the percent symbol (%) to denote the conversion. The result would be 98.3%.

This method can be used for any decimal number you wish to convert into a percentage. Practice these steps to become comfortable with the conversions.

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