When we express a fraction as a decimal, we are representing the fraction in a different form. In this case, 3/10 as a decimal means finding the decimal equivalent of the fraction 3/10.
The answer to 3/10 as a decimal is 0.3.
There are multiple methods to solve 3/10 as a decimal. Let's explore two common methods:
The steps to solve 3/10 as a decimal using long division are as follows:
0.3
---------
10| 3.0
- 0
---
30
- 30
---
0
Therefore, 3/10 as a decimal is 0.3.
To solve 3/10 as a decimal using this method, we divide the numerator (3) by the denominator (10) and express it as a decimal:
3 ÷ 10 = 0.3
Again, we find that 3/10 as a decimal is 0.3.
Example 1: Convert 3/10 to a decimal using long division.
0.3
---------
10| 3.0
- 0
---
30
- 30
---
0
Therefore, 3/10 as a decimal is 0.3.
Example 2: Convert 3/10 to a decimal by dividing the numerator by the denominator.
3 ÷ 10 = 0.3
Again, we find that 3/10 as a decimal is 0.3.
Example 3: Convert 3/10 to a decimal by multiplying the numerator and denominator by 10.
(3 × 10) ÷ (10 × 10) = 30 ÷ 100 = 0.3
Once again, we obtain 0.3 as the decimal representation of 3/10.
Example 4: Convert 3/10 to a decimal by using a calculator.
Using a calculator, we can directly input 3 ÷ 10, which gives us the decimal value of 0.3.
In mathematics, fractions represent a part of a whole or a division of a quantity into equal parts. They are used to express numbers that are not whole numbers or integers.
The symbols used to represent fractions are the fraction bar (/) and the division symbol (÷). For example, 3/4 and 3 ÷ 4 both represent the fraction three-fourths.
There are several types of fractions, including:
A fraction consists of two components:
For example, in the fraction 3/10, 3 is the numerator and 10 is the denominator.
A decimal is a way of representing numbers that are not whole numbers or integers. It is based on the powers of 10 and uses a decimal point to separate the whole number part from the fractional part.
The symbol used to represent a decimal is a decimal point (.), which is placed between the whole number part and the fractional part.
A decimal consists of two components:
For example, in the decimal 3.14, 3 is the whole number part and 14 is the fractional part.
There are several types of decimals, including:
As mentioned earlier, 3/10 as a decimal is equal to 0.3.