The question "What is the decimal expansion of 1 17 Class 9?" is somewhat unclear. It seems to be asking for the decimal expansion of the fraction 1/17, possibly in the context of a 9th-grade math class. Therefore, we will interpret the question as finding the decimal expansion of 1/17.
Based on the provided reference, the decimal expansion of 1/17 is:
0.0588235294117647...
This is a repeating decimal. The repeating block is "0588235294117647".
Understanding Decimal Expansions
A decimal expansion is a way to represent a number using a base-10 system. Fractions can be expressed as decimals, which can either terminate (e.g., 1/4 = 0.25) or repeat (e.g., 1/3 = 0.333...).
Example: Converting a Fraction to a Decimal
To convert a fraction to a decimal, you perform long division. Divide the numerator by the denominator.
- Numerator: The top number of a fraction (e.g., 1 in 1/17).
- Denominator: The bottom number of a fraction (e.g., 17 in 1/17).
Dividing 1 by 17 results in the repeating decimal 0.0588235294117647...
Significance of Repeating Decimals
Repeating decimals represent rational numbers (numbers that can be expressed as a fraction p/q, where p and q are integers, and q is not zero). The decimal expansion of 1/17 is an example of a repeating decimal that represents a rational number.