Question

Solve the following: \[0.45 \div 5 = 0.09\].

Answer 1

Hint: According to the question, we have to solve it by taking the help of the division method. Division is a means of splitting into equal parts a set of items. The symbol of division is given in the question as \[ \div \].

Complete step-by-step solution:
According to the question, we have to take help of the division method. We have to divide the two numbers.
First, we will convert them into a fraction. The upper one will be the numerator and the lower one will be the denominator, and we get:
\[ = \dfrac{{0.45}}{5}\]
Here, \[0.45\] is the numerator, and \[5\] is the denominator.
As we can see that \[0.45\] is a decimal number. So, first we will convert this decimal number into a fraction again. So, \[45\] will be the numerator here, and as there are two numbers after the decimal point, so \[100\] will be the denominator, and we get:
\[ = \dfrac{{45}}{{100}}\]
Now, we have to write \[\dfrac{{45}}{{100}}\] in place of \[0.45\], and we get:
\[ = \dfrac{{45}}{{100}} \times \dfrac{1}{5}\]
Now, we have to take the factorials of \[45\] and \[100\], and we get:
\[ = \dfrac{{3 \times 3 \times 5}}{{2 \times 2 \times 5 \times 5}} \times \dfrac{1}{5}\]
Now, we will cancel all the common factors from the numerator and the denominator. We can see that \[5\] is getting cancelled from both the numerator and the denominator, and we get:
\[ = \dfrac{{3 \times 3}}{{2 \times 2 \times 5 \times 5}}\]
When we multiply all the factors, we get:
\[ = \dfrac{9}{{100}}\]
Now, we will convert it into a decimal point. As we know that there are two zeros in a hundred, so there will be two digits after the decimal point. So, the final result is \[0.09\].

Note: Division is one of the four core arithmetic operations, which produces a fair sharing result. The division's main objective is to find out how many equal groups or how many groups share equally in each group. The division method is a reverse operation of multiplication.