Question

How does $ 1 $ divided by $ 0.05 = 20 $ ?

Answer 1

Hint: In order to determine quotient of the above division ,consider the number $ 1 $ as the dividend and the number $ 0.05 $ as the divisor .Put the values of dividend and divisor in the form $ \dfrac{{divident}}{{divisor}} $ .Multiply both the numerator and denominator with the number $ 100 $ to decimal point in the denominator. Write numerator as $ 20 \times 5 $ Now cancelling number $ 5 $ from both numerator and denominator as it was common in both .

Complete step-by-step answer:
According to our question, If we look into our question carefully, we will find that the number $ 1 $ is our dividend and the number $ 0.05 $ is our divisor.
 Since we have to find the quotient of the division of these numbers, lets write these into fraction form.
 $ = \dfrac{{divident}}{{divisor}} $
Putting the values of dividend and divisor, we get
 $ = \dfrac{1}{{0.05}} $
Multiplying and dividing the above equation with the number $ 100 $ ,we get
 $ = \dfrac{{1 \times 100}}{{0.05 \times 100}} $
As we know when a decimal number is multiplied by $ 10 $ raised to power some $ n $ ,then the decimal point gets shifted towards right up to n places.
 $ = \dfrac{{20 \times 5}}{5} $
Since, we can see 5 is common in both numerator and denominator. So cancelling 5 from numerator as well as denominator
 $ = 20 $
Hence, proved
Therefore, when $ 1 $ is divided by $ 0.05 $ ,we get $ 20 $ .
So, the correct answer is “20”.

Note: A Rational number is a number which can be expressed in the form of $ \dfrac{p}{q} $ ,where p and q are any integer value and q is not equal to 0. Such a number is known as a rational number.
1. Don’t forget to cross check your result.
2.The value which we divide is known as dividend.
3. The value by which we divide is known as divisor.