A decimal number refers to a defined number whose whole number part and the fractional part are separated by a decimal point. The representation of a fraction is a numerical value defined as a part of a whole. Expressing 1/8 as a decimal requires dividing the numerator by the denominator.
Answer to the question what is 1/8 as a decimal: 1/8 as a decimal is 0.125
- 1-8-as-a-decimal-is-0.125
Method to convert 1/8 as a decimal
If you are wondering How to convert 1/8 to a decimal using the division method, use the following steps to express 1 8 as a decimal.
St 1: To convert any fraction to its decimal form, divide its numerator by denominator.
St 2: given fraction is 1/8, so divide, 1 ÷ 8
St 3: Result is 0.125. So, 1/8 as a decimal is 0.125
Thus, 1/8 as a decimal is 0.125
What Is 1/8 as a Decimal: The Solution with Free Steps
1by8 As A Decimal OR The fraction 1/8 as a decimal is 0.125.
A Fraction describes a division between two numbers when it isn’t possible to get divided across one another using the traditional methods. You will get Decimal Value to solve said division, as the numbers are not multiplicatively related.
A Decimal Value contains two parts, the Whole Number part and the other being the Decimal part. Thus, a Fraction represents a decimal value due to its division. Solve this division using Long Division.
Look at the Long Division solution of 1/8.
Solution
First of all, you need to transform a Fraction into its corresponding Division by converting a fraction’s constituents into a division’s constituents. The numerator of the fractions becomes the Dividend, and the fraction’s denominator becomes the Divisor.
- Dividend = 1
- Divisor = 8
The quantity Quotient is associated with the solution of the division. Note that the Quotient’s relationship with the Dividend and the Divisor is:
Quotient = Dividend
Divisor= 1
8
Let’s solve the fraction to the decimal problem using the Long Division Method:
The Long Division Method ensures solving the division in parts, and in the process, one has to keep changing the Dividend to get the solution to the problem.
For a better understanding of the process, get an idea about the quantity referred to as the Remainder. The Remainder is left behind when a division occurs, and the unique thing is that it becomes the new Dividend.
Solving the problem, i.e., fraction 1/8:
The dividend is smaller than the divisor, the fraction is Proper, and the Quotient will be smaller than 1. Let’s introduce a Zero to the dividend using the decimal, and the dividend becomes 10.
8 x 1 = 8
Here, a Remainder 10 – 8 = 2 is produced. Let’s repeat the process of adding a zero and getting 20 as the new dividend:
8 x 2 = 16
The remainder of 4 is produced, and in this case, there was a need to go through two iterations, so there’s a need to repeat the process once more to get a third decimal place solution. Let’s take a new dividend equal to 40:
8 x 5 = 40
A quotient equal to 0.125 is produced as there was no Remainder produced. This quotient got generated by adding up all the quotients from each division.
Further explanation of the concept
- Question 1
In the fraction 1/8, the number 1 is
- Numerator
- Denominator
- Decimal
- Fraction
- Question 2
In the fraction 1/8, the number 8 is
- Numerator
- Denominator
- Decimal
- Fraction
- Question 3
What is the equivalent fraction to 1/8?
- 2/32
- 2/16
- 32/16
- 16/32
- Question 4
What is the equivalent fraction to 1/8?
- 4/32
- 4/36
- 36/32
- 4/9
The solution to the questions mentioned above
First of all you need to observe the fraction and compare the denominators.
The fraction 1/8 as a decimal needs to be converted to its equivalent fraction before being changed to the decimal form.
Equivalent fractions refer to the fractions made of factors of the numerator and the denominator. The equivalent fractions are fractions with different numerator and denominator values but simplified to the same fraction.
To find the equivalent fraction of a given fraction, there is a need to multiply any non-zero number by the numerator and the denominator to get an equivalent fraction.
The concept of the equivalent fraction changes the fractions to their decimal form.
Denominator 8 is converted to 1000 in its equivalent fraction.
Find the value when multiplied by 8 gives 1000. 125 is multiplied by 8 to get 1000. The general rule is that the same number multiplied by the denominator should be multiplied by the numerator, multiplying 1 by 125.
If a fraction has a denominator converted to values like 10, 100, 1000, and so on, directly convert them to the corresponding decimal.
There are three zeros in the denominator, so one has to move the decimal point 3 digits to the left to write the answer.
Common terms you should be familiar with
In the fraction 1/8 as a decimal, 1 is the dividend (numerator), and 8 is our divisor (denominator).
FAQs
- Is 1 8 a terminating decimal?
Have a look at the fraction 1/8. In decimal form, it is 0.125, a terminating decimal.
- What is 1 8 as a decimal, and why?
To convert 1/8 to a decimal, you need to divide the denominator into the numerator. 1 divided by 8 = . 125.
- What is the meaning of 1 8?
One-eighth refers to one part of eight equal sections. In this regard, it can be said that Two-eighths is one-quarter and four-eighths is a half. Split an object, like a cake, into eighths to make them into quarters and then divide each quarter in half.
Final words
The general rule to be noted at all points is when we write a fraction, like 1/8, there’s a need to divide the numerator (the top number) by the denominator (the bottom number). Dividing 1 by 8 means the result is 0.125, the decimal equivalent of 1/8.
Take a decimal system in the case of 1/8 as a decimal to represent fractions using a base of 10. The first digit after the decimal point represents the tenths, while the second digit represents the hundredths, and so on. In the case of 0.125, you got to understand that 1 represents one whole unit, 2 represents two-tenths, and 5 represents five hundredths.
So, 1/8 as a decimal can be written as the decimal 0.125, representing one whole unit (0), two-tenths (the digit 2 after the decimal point), and five hundredths (the digit 5 after the decimal point).
