Respuesta :
Answer:
D) Leave the conversion factor in fraction form
Step-by-step explanation:
Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal. The correct option is option D.
What is conversion Factor?
A conversion factor is a ratio expressed as a fraction that equals 1. When we use conversion factors to convert units, we multiply our original measurement by the conversion factor to get the same measurements expressed in new units.
If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal. Leave the conversion factor in fraction form.
Because there are two type of decimals:
Terminating decimal expansion means the decimal expansion of a number which stops after a certain number of decimal places. For example, if we divide 100 by 16, the answer comes out as 6.25.Since the number of decimal place in 6.25 is 2,i.e., it stops after a certain number of decimal places, it is called a terminating decimal expansion.
On the other hand, if the decimal expansion of a number does not stop at all, then it is called a non-terminating decimal expansion. For example, if we divide 100 by 7, then the answer comes out to be 14.28571428571…….. . The decimal expansion does not stop. This is known as a non-terminating decimal expansion.
In general, if a fraction has a denominator of the form 2^n*5^m, where m and n are non-negative integers, then it will have a terminating decimal expansion. For example, 100/16 has denominator 16 which is of the form 2^4*5^0, so it has a terminating decimal expansion.
If a fraction has a denominator which is not of the form 2^n*5^m, where m and n are non-negative integers, then it will have a non-terminating decimal expansion. For example, 100/7 has a denominator 7 which is not of the form 2^n*5^m so it has a non-terminating decimal expansion.
Hence, Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal.
Learn more about Fractions:
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