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Chapter 7: Problem 47

Convert the decimal to a percent. $$1.75$$

Short Answer

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Step by step solution

01

Understand the Conversion

To convert a decimal to a percent, multiply the decimal number by 100. This is because percent means per hundred.
02

Perform the Multiplication

Multiply 1.75 by 100. Formula: \[ 1.75 \times 100 = 175 \]
03

Add the Percent Symbol

After multiplying, add the percent symbol (%) to the result. So, 1.75 becomes 175%.

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Key Concepts

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

Multiplication
Multiplication is one of the basic arithmetic operations where you combine equal groups. For instance, if you multiply 2 by 3, you have three groups of 2, which gives you 6. The multiplication operation is symbolized by the times sign (\texttimes). In our exercise, we needed to multiply the decimal number 1.75 by 100 to convert it to a percent.
This multiplication works in the same way: \(1.75 \times 100 = 175\).
By multiplying, you shift the decimal point two places to the right. Hence, 1.75 becomes 175. Remember, multiplication can simplify your understanding of scaling numbers, especially in conversions like this one.
Percent
Percent comes from the Latin phrase 'per centum', meaning per hundred. It is a way of expressing a number as a fraction of 100. The symbol for percent is %. For example, 50% means 50 out of 100.
In the context of our exercise, converting 1.75 to a percent involved recognizing that 1.75 represents 175 out of 100.
Steps to Convert:
  • Multiply the decimal by 100
  • Add the percent symbol (%)

By these steps, the decimal 1.75 converts to 175%. This means you are expressing 1.75 as 175 parts out of 100.
Decimal
Decimals are numbers that have a whole number part and a fractional part separated by a decimal point. For instance, in the number 1.75, 1 is the whole number part, and 75 is the fractional part.
Decimals are used to express values that fall between whole numbers. They are essential in various fields, from science to finance.
To convert a decimal to a percent, recognize that you are scaling up the fractional value to a whole number basis, specifically out of 100.
In our example: \(1.75 \rightarrow 175\text{%}\)
This shows how percentages and decimals are interconnected and how simple arithmetic operations like multiplication can facilitate conversions between these representations.

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