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Chapter 6: Problem 7

Find decimal notation. $$ 45.6 \% $$

Short Answer

Expert verified
0.456

Step by step solution

01

- Understand Percent to Decimal Conversion

To convert a percentage to a decimal, move the decimal point two places to the left. This is because 'percent' means per hundred.
02

- Move the Decimal Point

Take the percentage 45.6%. Moving the decimal two places to the left, we get 0.456.
03

- Remove the Percent Sign

Once the decimal is moved, remove the percent sign. Therefore, 45.6% becomes 0.456.

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Key Concepts

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

percentage
The term 'percentage' refers to a fraction of 100. When we say 45.6%, we mean 45.6 per 100. This value represents a part of a whole in mathematical terms.
Percentages are commonly used to describe proportions and comparisons.
For example, if you scored 45.6% on a test, you answered 45.6 out of every 100 questions correctly.
Learning to convert percentages to decimal notation helps in various arithmetic calculations and is an essential skill in mathematics.
decimal notation
Decimal notation is a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part.
For instance, in the number 0.456, 0 is the whole number, and 456 is the fractional part.
Understanding how to convert percentages to decimal notation is crucial for performing accurate mathematical operations, whether it's in everyday calculations or more complex math problems.
Decimals are beneficial because they allow precise representation of values, making arithmetic operations easier to handle.
mathematics education
Mathematics education empowers students by teaching fundamental arithmetic skills, like converting percentages to decimals.
Grasping these concepts builds a strong foundation for advanced mathematical topics.
Such knowledge is also practical for real-life scenarios, like understanding discounts, calculating interest rates, and analyzing statistical data.
In a classroom setting, teachers often encourage practicing these conversions through diverse exercises and real-world problems to solidify students' understanding.
basic arithmetic
Basic arithmetic includes the rudimentary operations of addition, subtraction, multiplication, and division.
Converting percentages to decimals is intertwined with these operations.
For example, understanding that 45.6% equals 0.456 allows you to multiply it by another number to find a portion of that number.
Basic arithmetic skills are the building blocks for higher-level math and are essential for everyday problem-solving.
Mastering these skills ensures that students have the confidence to tackle more complex mathematical challenges in the future.

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On a test of 80 items, Pedro got \(93 \%\) correct. (There was partial credit on some items.) How many items did he get correct? incorrect?

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