Question

Find:
i) \[2.7 \div 100\]
ii) \[0.3 \div 100\]
iii) \[0.78 \div 100\]
iv) \[432.6 \div 100\]
v) \[23.6 \div 100\]
vi) \[98.53 \div 100\]

Answer 1

Hint: Here in this question we have to divide the number by the number 100. The number is in the form of decimal. Since we divide the number by 100. While dividing the number by 100, the decimal point will shift towards the left of the number. Hence we obtain the required solution for the given questions.

Complete step by step solution:
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Now we will solve the questions
i) \[2.7 \div 100\]
This can be written in the form of fraction
\[ \Rightarrow \dfrac{{2.7}}{{100}}\]
By dividing the decimal number by 100, the decimal point will get shifted left wards and the decimal point is placed
On dividing we have
\[ \Rightarrow 0.027\]

ii) \[0.3 \div 100\]
This can be written in the form of fraction
\[ \Rightarrow \dfrac{{0.3}}{{100}}\]
By dividing the decimal number by 100, the decimal point will get shifted left wards and the decimal point is placed
On dividing we have
\[ \Rightarrow 0.003\]

iii) \[0.78 \div 100\]
This can be written in the form of fraction
\[ \Rightarrow \dfrac{{0.78}}{{100}}\]
By dividing the decimal number by 100, the decimal point will get shifted left wards and the decimal point is placed
On dividing we have
\[ \Rightarrow 0.0078\]

iv) \[432.6 \div 100\]
This can be written in the form of fraction
\[ \Rightarrow \dfrac{{432.6}}{{100}}\]
By dividing the decimal number by 100, the decimal point will get shifted left wards and the decimal point is placed
On dividing we have
\[ \Rightarrow 4.326\]

v) \[23.6 \div 100\]
This can be written in the form of fraction
\[ \Rightarrow \dfrac{{23.6}}{{100}}\]
By dividing the decimal number by 100, the decimal point will get shifted left wards and the decimal point is placed
On dividing we have
\[ \Rightarrow 0.236\]

vi) \[98.53 \div 100\]
This can be written in the form of fraction
\[ \Rightarrow \dfrac{{98.53}}{{100}}\]
By dividing the decimal number by 100, the decimal point will get shifted left wards and the decimal point is placed
On dividing we have
\[ \Rightarrow 0.9853\]
Hence we have determined all the values

Note: Since we are dividing the decimal number by the number 100 we shift the decimal point. The decimal point is shifted based on the number of zeros the denominator has. This method or procedure is followed when the denominator is multiples of 10. Suppose if we are dividing the decimal number by any other kind of number then we should know about the tables of multiplication.