Aarav is filling a digital weighing scale that shows weight as a decimal. He puts a packet of exactly 7/16 kg of rice on it. The denominator 16 = 2^4 has only the prime 2. Will the scale show a value that terminates, and after how many decimal places?

Question

Accepted Answer

Terminates after 4 places (0.4375 kg). 16 = 2^4, max(4,0) = 4, so 7/16 terminates after 4 places: 7/16 = 4375/10000 = 0.4375 kg.

Aarav is filling a digital weighing scale that shows weight as a decimal. He puts a packet of exactly $\frac{7}{16}$ kg of rice on it.
The denominator $16 = 2^{4}$ has only the prime 2.
Will the scale show a value that terminates, and after how many decimal places?

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More Class 10 Decimal Expansions practice

Aarav is filling a digital weighing scale that shows weight as a decimal. He puts a packet of exactly 167​ kg of rice on it.The denominator 16=24 has only the prime 2.Will the scale show a value that terminates, and after how many decimal places?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Decimal Expansions practice

Aarav is filling a digital weighing scale that shows weight as a decimal. He puts a packet of exactly $\frac{7}{16}$ kg of rice on it.
The denominator $16 = 2^{4}$ has only the prime 2.
Will the scale show a value that terminates, and after how many decimal places?