Choose the correct option about the decimal expansion of (\frac{72}{540}).
Answer and explanation
Correct answer: Non-terminating recurring
Step 1: (\frac{72}{540}) simplifies by (36) to (\frac{2}{15}). Step 2: Since (15=3\times5), factor (3) remains in the denominator, so the decimal will not terminate. Step 3: Exam tip: If a factor other than (2) and (5) remains in the reduced denominator, the decimal is recurring.
Frequently asked questions
What is the correct answer to this question?
Non-terminating recurring
Why is this the correct answer?
Step 1: (\frac{72}{540}) simplifies by (36) to (\frac{2}{15}). Step 2: Since (15=3\times5), factor (3) remains in the denominator, so the decimal will not terminate. Step 3: Exam tip: If a factor other than (2) and (5) remains in the reduced denominator, the decimal is recurring.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
