a)The decimal expansion of 18
3750
will terminate after how many decimal places?
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a)The decimal expansion of 18
3750
will terminate after how many decimal places?
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Step-by-step explanation:
We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example
4
1
=0.25, it has only two decimal digits.
Now consider the fraction
32
5
whose decimal form will be:
32
5
=0.15625
The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.
Hence,
32
5
has a terminating decimal expansion.
While,
9
7
=0.7777..., non-terminating,
15
8
=0.5333..., non-terminating
and
9
7
=0.08333..., non-terminating
Therefore, option A is correct
Answer:
therefore, the numbers with the finite decimal expansions are fractions of this form . the first few regular numbers are 1,2,4,5,8,10,16,20,25,32,40,50 .