In mathematics, fractions are a way to represent numbers that are not whole numbers. They are used to express parts of a whole or a ratio between two quantities. One common fraction is 1/3, which represents one part out of three equal parts.
When we want to express 1/3 as a decimal, we are looking for the decimal equivalent of this fraction.
The answer to 1/3 as a decimal is approximately 0.33333.
Now, let's explore some methods to solve 1/3 as a decimal.
One way to solve 1/3 as a decimal is by using long division. Here are the steps:
Using long division, we can see that 1/3 as a decimal is approximately 0.33333.
Another method to solve 1/3 as a decimal is by changing the denominator to 1000. Here are the steps:
By changing the denominator to 1000, we can see that 1/3 as a decimal is approximately 0.333333.
Now, let's explore more examples to solidify our understanding.
Example 1: Solve 1/3 as a decimal using long division.
0.3
---------
3 | 1.0
9
---
10
9
---
10
9
---
10
9
---
0
Therefore, 1/3 as a decimal is approximately 0.33333.
Example 2: Solve 1/3 as a decimal using the denominator of 1000.
333
---------
999 | 333
0
---
3330
2997
----
333
Therefore, 1/3 as a decimal is approximately 0.333333.
Example 3: Solve 1/3 as a decimal using long division.
0.33
---------
3 | 1.00
9
---
10
9
---
10
9
---
10
9
---
1
Therefore, 1/3 as a decimal is approximately 0.333.
In mathematics, fractions represent parts of a whole or a ratio between two quantities. They consist of a numerator and a denominator, separated by a slash (/). The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up the whole.
The symbols used to represent fractions are the slash (/) and the horizontal line (-) in a fraction bar.
There are several types of fractions, including proper fractions, improper fractions, mixed numbers, and equivalent fractions.
A fraction consists of two components: the numerator and the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts that make up the whole.
Decimals are another way to represent numbers in mathematics. They are based on the powers of 10 and are used to express numbers that are not whole numbers. Decimals consist of a whole number part and a decimal part, separated by a decimal point.
The symbol used to represent decimals is the decimal point (.) placed between the whole number part and the decimal part.
Decimals consist of two components: the whole number part and the decimal part. The whole number part represents the whole units, while the decimal part represents the fractional part of the number.
There are several types of decimals, including terminating decimals, repeating decimals, and non-repeating decimals.
In conclusion, 1/3 as a decimal is approximately 0.33333. We can solve this problem using methods like long division or changing the denominator to 1000. Fractions represent parts of a whole or a ratio between two quantities, and decimals are another way to represent numbers that are not whole numbers.