Without performing division, determine whether the decimal expansion of is terminating or non-terminating. If it terminates, state the number of decimal places.

Question

KnowledgeBoat · Accepted Answer

Given, Prime factorisation of 125 = 53. Since the denominator has only the prime factor 5, the decimal expansion is terminating. To find the number of decimal places, we make the denominator a power of 10 by multiplying numerator and denominator by 23 = 8 : The decimal expansion has 3 decimal places. Hence, has a terminating decimal expansion of 3 decimal places.

Mathematics

Without performing division, determine whether the decimal expansion of is terminating or non-terminating. If it terminates, state the number of decimal places.

Whole Numbers

Related Questions

A rational number in its lowest form has denominator 2³ × 5. How many decimal places will its decimal expansion have? Explain your answer.

Mathematics

Without performing division, determine whether the decimal expansion of is terminating or non-terminating. If it terminates, state the number of decimal places.

Whole Numbers

Related Questions

A rational number in its lowest form has denominator 23 × 5. How many decimal places will its decimal expansion have? Explain your answer.

A rational number in its lowest form has denominator 2³ × 5. How many decimal places will its decimal expansion have? Explain your answer.