Math Problem Statement
Work out the first six digits after the decimal point when 7/11 is written as a decimal. Write a sentence to explain what you notice about your answer.
Solution
To solve as a decimal, let's divide 7 by 11.
Performing the division:
The decimal form of is a repeating decimal: .
So, the first six digits after the decimal point are 0.636363.
Noticing about the answer:
The digits 63 repeat continuously, which makes the decimal representation of a repeating decimal.
Do you want more details or have any questions?
Here are some related questions you can explore:
- Why do some fractions result in repeating decimals?
- What is the difference between terminating and repeating decimals?
- How can you identify a repeating decimal pattern more quickly?
- What happens if you multiply a repeating decimal like by 11?
- How does long division help in determining repeating decimals?
Tip: When dividing two numbers and the division doesn't end after a few decimal places, the result may be a repeating decimal.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Fractions
Decimals
Repeating Decimals
Formulas
Long Division
Theorems
-
Suitable Grade Level
Grades 5-7