How does $ 1 $ divided by $ 0.05 = 20 $ ?
Answer
624.3k+ views
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.
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.
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