Question

How do you simplify $ 6 \div 0.5 $ ?

Answer 1

Hint: In order to determine the simplest form of the above question ,write the decimal in the form of rational number ( the number which can be expressed as in the form of $ \dfrac{p}{q} $ , where p is numerator and q is denominator also q $ \ne $ 0 . ) , numerator and denominator forming their factors . And the multiplication of a decimal by tens , hundreds and thousands or etc. itself means that the decimal will be moved to the right side by as many as the number of zeroes are there in the multiplier . . If the decimal is being moved to the right, the exponent will be negative which automatically means that the number will be divided and placed in the denominator. Try to cancel out factors from numerator and denominator , you will get your required result .

Complete step-by-step answer:
In order to make the decimal into fraction and to get rid of the decimal, we need to move the decimal point to the right side until 5 comes to the left of the decimal point . We will multiply the decimal by 10 because we want the decimal to be removed and shifted right and so we can write in scientific notation we have the $ {10^{ - 1}} $ , as we know the fact that states If the decimal is being moved to the right , the exponent will be negative .
So , 0.5 will become $ 5 \times {10^{ - 1}} $ in the scientific notation which in fraction will be expressed as $ \dfrac{5}{{10}} $ as -1 as the power does reciprocation .
Now , our given question was $ 6 \div 0.5 $
Can also be written as $ \dfrac{6}{{0.5}} $
0.5 can also be rewritten as - $ \dfrac{{\dfrac{6}{1}}}{{\dfrac{5}{{10}}}} $ which To Divide this and getting the answer into its simplest form , take first fraction as it is and flip or reciprocal the second fraction that is numerator will become denominator and denominator will become numerator .
Thereafter , we get
 $ \dfrac{6}{1} \times \dfrac{{10}}{5} $
= $ \dfrac{{60}}{5} $ = 12 .
Therefore the simplified answer is 12 .
So, the correct answer is “12”.

Note: 1.If we divide two rational numbers suppose $ \dfrac{A}{B}and\dfrac{C}{D} $ it is actually divided in the form $ \dfrac{{\dfrac{A}{B}}}{{\dfrac{C}{D}}} $ then A is multiplied with D and B is multiplied by C in the form as $ \dfrac{{A \times D}}{{B \times C}} $ .
2. Do not Forget to verify the end of the result with the zeroes .
3. If you multiply a decimal with 10 , then the decimal point will be moved to the right side by 1 place .
4.If you multiply a decimal with 100 , then the decimal point will be moved to the right side by 2 places .