Problem 48 Convert the decimal to a percent... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 7: Problem 48

Convert the decimal to a percent. $$2.8$$

Short Answer

Expert verified

2.8 = 280%

Step by step solution

Understand the Relationship

To convert a decimal to a percent, multiply the decimal by 100. This is because 'percent' means per hundred.

Perform the Multiplication

Multiply the decimal number 2.8 by 100 to find the percentage.

Simplify and Express as a Percentage

Calculate the result of the multiplication: ing

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Key Concepts

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

Mathematical Conversion

Understanding mathematical conversions is crucial for solving various types of problems. In this case, we are converting a decimal to a percentage. A conversion is like a bridge that connects two different forms of expressing numbers. In other words, it helps us understand the same value in another way. By converting from decimal to percent, we are changing how we represent a part of something in terms of per hundred. This is helpful because percentages are often easier to understand and compare. Constants and known relationships, such as 1 whole being equivalent to 100%, are key in these conversions.

Multiplication by 100

The main operation for converting a decimal to a percent is multiplication by 100. This is because the concept of percent is based on 'per cent,' meaning per hundred. For example, to convert the decimal number 2.8 to a percent, you multiply it by 100.
So:
\[ 2.8 \times 100 = 280 \]
When you multiply by 100, you essentially shift the decimal point two places to the right. This change scales the number to make it clear how many parts out of a hundred it represents. This is much easier to grasp visually and practically.

Understanding Percentages

Percentages are all about understanding parts of a whole in terms of 100. When we say 50%, we mean 50 out of every 100 parts. Converting decimals to percentages helps in various real-life scenarios, like calculating discounts, interest rates, and statistics. It is important to note that not all decimals are straightforward whole numbers when multiplied by 100. However, the process remains the same no matter the decimal. For instance, converting 0.45 to a percentage:
\[ 0.45 \times 100 = 45\text{ percent} \]
Understanding percentages is all about recognizing how much of something we have out of a whole represented by 100.

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91影视

Convert the decimal to a percent. $$2.8$$

Short Answer

Step by step solution

Understand the Relationship

Perform the Multiplication

Simplify and Express as a Percentage

Key Concepts

Mathematical Conversion

Multiplication by 100

Understanding Percentages

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