What Decimal Is Equivalent To $\frac{80}{100}$?Shade The Model Below To Show The Fraction And The Decimal. Then Write The Decimal.
Introduction
When it comes to fractions and decimals, many students struggle to understand the relationship between these two mathematical concepts. In this article, we will explore the concept of equivalent decimals and how to convert fractions to decimals. We will use the example of $\frac{80}{100}$ to demonstrate this concept.
Understanding Fractions and Decimals
Fractions and decimals are two ways to represent a part of a whole. A fraction is a way to represent a part of a whole as a ratio of two numbers, while a decimal is a way to represent a part of a whole as a number with a decimal point. For example, the fraction $\frac{1}{2}$ can be represented as the decimal 0.5.
Converting Fractions to Decimals
To convert a fraction to a decimal, we need to divide the numerator by the denominator. In the case of $\frac{80}{100}$, we can divide 80 by 100 to get the decimal equivalent.
Shade the Model
To shade the model, we can use a number line or a hundreds chart. Let's use a hundreds chart to represent the fraction $\frac{80}{100}$.
0 1 2 3 4 5 6 7 8 9
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0 | 1 2 3 4 5 6 7 8 9 0
10 | 1 2 3 4 5 6 7 8 9 0
20 | 1 2 3 4 5 6 7 8 9 0
30 | 1 2 3 4 5 6 7 8 9 0
40 | 1 2 3 4 5 6 7 8 9 0
50 | 1 2 3 4 5 6 7 8 9 0
60 | 1 2 3 4 5 6 7 8 9 0
70 | 1 2 3 4 5 6 7 8 9 0
80 | 1 2 3 4 5 6 7 8 9 0
90 | 1 2 3 4 5 6 7 8 9 0
100 | 1 2 3 4 5 6 7 8 9 0
To shade the model, we can start at 0 and count up 80 numbers. This will give us the shaded area that represents the fraction $\frac{80}{100}$.
Writing the Decimal
Now that we have shaded the model, we can write the decimal equivalent of $\frac{80}{100}$. To do this, we can look at the shaded area and see how many numbers are shaded. In this case, we can see that 80 numbers are shaded, which means that the decimal equivalent is 0.8.
Conclusion
In this article, we have explored the concept of equivalent decimals and how to convert fractions to decimals. We used the example of $\frac{80}{100}$ to demonstrate this concept and showed how to shade the model to represent the fraction. We then wrote the decimal equivalent of the fraction, which is 0.8. This article has provided a clear and concise explanation of how to convert fractions to decimals and has given readers a better understanding of this important mathematical concept.
Frequently Asked Questions
- Q: What is the decimal equivalent of $\frac80}{100}$? A{100}$ is 0.8.
- Q: How do I convert a fraction to a decimal? A: To convert a fraction to a decimal, you need to divide the numerator by the denominator.
- Q: What is the relationship between fractions and decimals? A: Fractions and decimals are two ways to represent a part of a whole. A fraction is a way to represent a part of a whole as a ratio of two numbers, while a decimal is a way to represent a part of a whole as a number with a decimal point.
Further Reading
Introduction
Converting fractions to decimals can be a challenging task for many students. However, with the right tools and techniques, it can be a breeze. In this article, we will answer some of the most frequently asked questions about converting fractions to decimals.
Q: What is the decimal equivalent of $\frac{1}{2}$?
A: The decimal equivalent of $\frac{1}{2}$ is 0.5.
Q: How do I convert a fraction to a decimal?
A: To convert a fraction to a decimal, you need to divide the numerator by the denominator. For example, to convert $\frac{3}{4}$ to a decimal, you would divide 3 by 4, which gives you 0.75.
Q: What is the relationship between fractions and decimals?
A: Fractions and decimals are two ways to represent a part of a whole. A fraction is a way to represent a part of a whole as a ratio of two numbers, while a decimal is a way to represent a part of a whole as a number with a decimal point.
Q: Can I convert a fraction to a decimal by simply dividing the numerator by the denominator?
A: Yes, you can convert a fraction to a decimal by simply dividing the numerator by the denominator. However, you need to make sure that you are dividing the numerator by the denominator, not the other way around.
Q: What if the denominator is not a whole number?
A: If the denominator is not a whole number, you will need to use a calculator or a computer to convert the fraction to a decimal. Alternatively, you can use a technique called "long division" to convert the fraction to a decimal.
Q: Can I convert a decimal to a fraction?
A: Yes, you can convert a decimal to a fraction by using a technique called "repeating decimals" or "terminating decimals". For example, the decimal 0.5 can be converted to the fraction $\frac{1}{2}$.
Q: What is the difference between a terminating decimal and a repeating decimal?
A: A terminating decimal is a decimal that has a finite number of digits after the decimal point. For example, the decimal 0.5 is a terminating decimal. A repeating decimal is a decimal that has an infinite number of digits after the decimal point that repeat in a pattern. For example, the decimal 0.333... is a repeating decimal.
Q: Can I convert a repeating decimal to a fraction?
A: Yes, you can convert a repeating decimal to a fraction by using a technique called "repeating decimals". For example, the repeating decimal 0.333... can be converted to the fraction $\frac{1}{3}$.
Q: What is the relationship between equivalent fractions and equivalent decimals?
A: Equivalent fractions and equivalent decimals are two ways to represent the same value. For example, the fractions $\frac{1}{2}$ and $\frac{2}{4}$ are equivalent fractions, and the decimals 0.5 and 0.75 are equivalent decimals.
Q: Can I convert a fraction to a decimal using a calculator?
A: Yes, you can convert a fraction to a decimal using a calculator. Simply enter the fraction into the calculator and press the "=" button to get the decimal equivalent.
Q: What is the difference between a fraction and a decimal?
A: A fraction is a way to represent a part of a whole as a ratio of two numbers, while a decimal is a way to represent a part of a whole as a number with a decimal point.
Q: Can I convert a decimal to a fraction using a calculator?
A: Yes, you can convert a decimal to a fraction using a calculator. Simply enter the decimal into the calculator and press the "Frac" button to get the fraction equivalent.
Conclusion
Converting fractions to decimals can be a challenging task, but with the right tools and techniques, it can be a breeze. In this article, we have answered some of the most frequently asked questions about converting fractions to decimals. We hope that this article has provided you with a better understanding of this important mathematical concept.