When we express a fraction as a decimal, we are representing the fraction in a different form. In the case of 1/10 as a decimal, it means finding the decimal equivalent of the fraction 1/10.
The answer to 1/10 as a decimal is 0.1.
There are multiple methods to solve 1/10 as a decimal. Let's explore two common methods:
The steps to solve 1/10 as a decimal using long division are as follows:
0.1
---------
10 | 1
0.1
---------
10 | 1
0
0.1
---------
10 | 1
0
0.1
---------
10 | 1
0.
0.1
---------
10 | 1
0.1
To solve 1/10 as a decimal using this method, we divide 1 by 10 and express it as a fraction with a denominator of 1000:
1/10 = 1/10 * 100/100 = 100/1000
Therefore, 1/10 as a decimal is 0.001.
Example 1:
1/10 = 0.1
Example 2:
1/10 = 1/10 * 10/10 = 10/100 = 0.10
Example 3:
1/10 = 1/10 * 100/100 = 100/1000 = 0.100
Example 4:
1/10 = 1/10 * 1000/1000 = 1000/10000 = 0.1000
In each example, we multiply the fraction by a power of 10 to obtain a denominator of 10, 100, 1000, and 10000, respectively. This allows us to express the fraction as a decimal.
In mathematics, fractions represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers or integers. Fractions consist of a numerator (the number above the fraction line) and a denominator (the number below the fraction line).
The symbols used to represent fractions are the fraction bar (/) and the division slash (÷). For example, 1/2 and 1 ÷ 2 both represent the fraction one-half.
There are several types of fractions, including:
A fraction consists of two components:
For example, in the fraction 3/5, 3 is the numerator and 5 is the denominator.
A decimal is a way of representing numbers that are not whole numbers or integers. It is a base-10 positional numeral system where each digit represents a different power of 10. Decimals are used to express numbers that fall between whole numbers.
The symbol used to represent a decimal is a decimal point (.) placed between the whole number part and the fractional part. For example, 3.14 is a decimal representation of the number pi.
A decimal consists of two components:
For example, in the decimal 2.75, 2 is the whole number part and 75 is the fractional part.
There are several types of decimals, including:
As mentioned earlier, 1/10 as a decimal is 0.1.