Write 1/8 as a decimal number.
Understand the Problem
The question is asking how to express the fraction 1/8 as a decimal number. We know that this can be achieved through division where 1 divided by 8 results in 0.125.
Answer
0.125
Answer for screen readers
The decimal representation of $\frac{1}{8}$ is 0.125.
Steps to Solve
- Set up the Division Problem
To convert the fraction $\frac{1}{8}$ into a decimal, we will perform the division of 1 by 8. This can be written as:
$$ 1 \div 8 $$
- Perform the Division
When we divide 1 by 8, we start with 1. Since 1 is less than 8, we will add a decimal point and a zero to the right of 1, making it 10.
Next, divide 10 by 8:
$$ 10 \div 8 = 1 \quad \text{(with a remainder of 2)} $$
- Continue the Division with the Remainder
Now, take the remainder 2 and bring down another zero (making it 20):
$$ 20 \div 8 = 2 \quad \text{(with a remainder of 4)} $$
- Repeat the Process
Take the remainder 4, bring down another zero (making it 40):
$$ 40 \div 8 = 5 \quad \text{(with a remainder of 0)} $$
Since there is no remainder, the division process stops here.
- Combine the Results
From the division steps, we found that:
$$ 1.25 = 0.125 $$
Therefore, the decimal representation of $\frac{1}{8}$ is 0.125.
The decimal representation of $\frac{1}{8}$ is 0.125.
More Information
The fraction $\frac{1}{8}$ is equal to 0.125, which shows how fractions can be converted to decimals often using division. This value is also significant in various scenarios, including measurements and calculations in both mathematics and real-life applications.
Tips
- Confusing the decimal placement: It's easy to forget to place the decimal when multiplying or when considering remainders. Always double-check the placement after every division step.
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