How can the number \(-0.3125\), represented on the number line, be written in its simplest fractional form?
Answer and explanation
Correct answer: \(-\frac{5}{16}\)
\(-0.3125=-\frac{3125}{10000}\). Dividing the numerator and denominator by 625 gives \(-\frac{3125}{10000}=-\frac{5}{16}\), so option A is correct. The closest distractor, \(-\frac{3}{16}\), equals \(-0.1875\), not \(-0.3125\). Exam tip: for a terminating decimal, place it over the corresponding power of 10 and then reduce the fraction completely.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{5}{16}\)
Why is this the correct answer?
\(-0.3125=-\frac{3125}{10000}\). Dividing the numerator and denominator by 625 gives \(-\frac{3125}{10000}=-\frac{5}{16}\), so option A is correct. The closest distractor, \(-\frac{3}{16}\), equals \(-0.1875\), not \(-0.3125\). Exam tip: for a terminating decimal, place it over the corresponding power of 10 and then reduce the fraction completely.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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