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Chapter 5: Problem 540

In the following exercises, write as a decimal. three tenths

Short Answer

Expert verified
0.3

Step by step solution

01

Understand the Fraction

Three tenths is written as a fraction: \[\frac{3}{10}\]
02

Convert the Fraction to a Decimal

To convert the fraction \(\frac{3}{10}\) to a decimal, divide 3 by 10. This will result in: 0.3

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Key Concepts

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

Fractions
Fractions are a way to represent parts of a whole. They consist of two parts: the numerator and the denominator. The numerator is the top number and represents how many parts you have. The denominator is the bottom number and shows how many parts the whole is divided into. For example, in the fraction \(\frac{3}{10}\), the numerator is 3, and the denominator is 10. This means you have 3 parts out of 10 total parts. Fractions can be used in many areas, such as measurements, cooking, and dividing groups evenly. Understanding how fractions work is essential for converting them into other forms, such as decimals.
Decimal Representation
Decimal representation is another way to express fractions or parts of a whole. Instead of using a numerator and denominator, decimals use a point to separate whole numbers from parts of a whole. For example, the decimal 0.3 means three-tenths or 3 parts out of 10. To convert a fraction to a decimal, you simply divide the numerator by the denominator. So for the fraction \(\frac{3}{10}\), you divide 3 by 10. This results in 0.3. Decimals are very useful in many fields such as finance, science, and everyday life. They make it easier to perform operations like addition, subtraction, multiplication, and division.
Basic Arithmetic
Basic arithmetic consists of the fundamental operations of mathematics: addition, subtraction, multiplication, and division. In the context of converting fractions to decimals, division is particularly important. To convert \(\frac{3}{10}\) to a decimal, you need to divide 3 by 10. This is a simple division problem because 10 can easily fit into 3 a certain number of times without going into complex calculations. When you perform the division, you find that 3 divided by 10 equals 0.3. Knowing how to perform basic arithmetic operations is crucial for many daily tasks and more complex mathematical problems.

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