A length of cloth measures 3/40 of a metre. Write this length as a terminating decimal by converting the denominator to a power of 10. (Hint: 40 = 2^3 × 5.)

Question

Accepted Answer

0.075. 40 = 2^3 × 5; multiply numerator and denominator by 5^2 = 25 to get 2^3 × 5^3 = 1000. 3/40 = 75/1000 = 0.075 m.

A length of cloth measures $\frac{3}{40}$ of a metre.
Write this length as a terminating decimal by converting the denominator to a power of 10.
(Hint: $40 = 2^{3} \times 5.$ )

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More Class 10 Decimal Expansions practice

A length of cloth measures 403​ of a metre.Write this length as a terminating decimal by converting the denominator to a power of 10.(Hint: 40=23×5.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Decimal Expansions practice

A length of cloth measures $\frac{3}{40}$ of a metre.
Write this length as a terminating decimal by converting the denominator to a power of 10.
(Hint: $40 = 2^{3} \times 5.$ )