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Chapter 1: Problem 640

Convert each decimal to a percent. $$ 0.03 $$

Short Answer

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Step by step solution

01

Understand the relationship between decimals and percentages

A percentage is a way of expressing a number as a fraction of 100. To convert a decimal to a percent, recognize that moving the decimal point two places to the right effectively multiplies the decimal by 100.
02

Shift the decimal point

Shift the decimal point in the number 0.03 two places to the right. This means moving the decimal point from its original position to between the 3 and an assumed zero that follows it.
03

Write the new number and add the percent symbol

After moving the decimal point two places to the right, 0.03 becomes 3. Now just add the percent symbol to get 3%.

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Key Concepts

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

percentages
To understand percentages, it's essential to know that they represent parts per hundred. When you see a figure like 50%, it means 50 out of 100. Percentages are incredibly useful in various real-life applications such as discounts, interest rates, and statistics.
  • Comparison: Percentages allow us to compare different quantities easily since they are all out of 100.
  • Universal understanding: Percentages are a universal way to express fractions of a whole, making them easy for people to understand globally.
By converting decimals to percentages, you turn a fraction of one into a fraction of 100, making it simpler to grasp and use. For example, a decimal like 0.75 can be turned into 75%, plainly showing that it is 75 out of 100.
decimals
Decimals are numbers that appear with a decimal point separating the whole number part from the fractional part. The position of a digit after the decimal point signifies its value.
  • A digit immediately after a decimal point is in the tenths place.
  • Two places after the decimal point represents the hundredths place.
For instance, in the decimal 0.03, the '3' is in the hundredths place, indicating it is 3 hundredths of a whole or 0.03 parts per 100. Converting such decimals to percentages can help make calculations simpler and more intuitive.
multiplication by 100
Multiplying a decimal by 100 is a straightforward way to convert it to a percentage. To understand why this works, recall that percent means 'per hundred.'
Here鈥檚 how you do it:
  • Take the decimal number you want to convert. For example, 0.03.
  • Move the decimal point two places to the right. This will multiply the number by 100.
  • Once you move the decimal: 0.03 becomes 3.00 or simply 3.
  • Finally, add the percent symbol (%) to signify that it鈥檚 now a percentage.
So, 0.03 becomes 3%. The process of shifting the decimal point two places is essentially a quick multiplication by 100, making it simpler to convert from a decimal to a percentage.

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