Question

The decimal form of 15/1600 is

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Answer 1

Answer:

$\frac{15}{1600} \\ \\ = 0.009375$

hope it helps you!

Answer 2

Step-by-step explanation:

Given :-

15/1600

To find :-

Find the decimal form ?

Solution :-

Given number = 15/1600

It can be written as

= 15/(16×100)

=>15/(2×2×2×2×2×2×5×5)

=> 15/(2^6×5^2)

On multiplying both numerator and denominator with 5^4

=> (15×5^4)/(2^6×5^2×5^4)

=> (15×5^4)/(2^6×5^6)

=> (15×625)/(2×5)^6

=> (15×625)/(10^6)

=> 9375/1000000

=> 0.009375

or

=15/1600

=> 15/(16×100)

=> (15/16)×(1/100)

=> (0.9375)×(1/100)

=> 0.009375

Answer:-

The decimal form of the number 15/1600 is 0.009375

Used formulae:-

• A rational number X = p/q , the denominator q is in the form of 2^m×5^n then it is the terminating decimal or non terminating recurring decimal.

• The decimal form of a rational number is either terminating decimal or non terminating and recurring decimal.