Write down the decimal expansions of : 15/1600

hEorpaigh3tR

hEorpaigh3tR

Answered

2022-11-26

Write down the decimal expansions of : 15/1600

Answer & Explanation

Theresa Sims

Theresa Sims

Expert

2022-11-27Added 7 answers

We have: 15 1600 = 15 64 × 25 = 15 2 6 × 5 2
2 64 2 32 2 16 2 8 2 4 2 2 1
To get the denominator as multiple of 10's, multiply numerator and denominator by 5 4
= 15 × 5 4 2 6 × 5 2 × 5 4
= 15 × 5 4 2 6 5 6
= 15 × 5 4 10 6 [Since, a m × b m = ( a b ) m ]
= 9375 10 6
= 0009375 1000000
Since we have six zeroes in the denominator, we need to put the decimal point after six digits from the unit place.
Hence, the decimal expansion of the given number is 0.009375

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