Question

Find \[0.2 \times 6\]

Answer 1

Hint:
Here, we will multiply the given number. We are given the number as decimal multiplied by a whole number. Decimal is a number which can be expressed as a fraction. Multiplication is the process of repeated addition of equal parts.

Complete step by step solution:
We are given the number of \[0.2\] and \[6\].
Now, we will represent the decimal \[0.2\]as a fraction . Therefore, we get
 \[0.2 = \dfrac{2}{{10}}\]
Now the equation becomes:
 \[0.2 \times 6 = \dfrac{2}{{10}} \times 6\]
Now multiplying the numerator, we get
 \[ \Rightarrow 0.2 \times 6 = \dfrac{{12}}{{10}}\]
Now we know that \[\dfrac{1}{{10}} = 0.1\], so we get
 \[ \Rightarrow 0.2 \times 6 = 1.2\]

Therefore, the value of \[0.2 \times 6\] is \[1.2\].

Additional Information:
We should know the step for multiplying the decimal number whatever may be the number of decimal digits. First, we will multiply the numbers, considering as if we have no decimal point. Next, we will count the number of digits after the decimal point in each factor that has to be multiplied. At last, we will place the same number of digits after the decimal point. We have to place the decimal point in the answer by starting at the right of the number. We will move the number of places equal to the sum of the decimal in the numbers which are getting multiplied.

Note:
We will get to know that the answer obtained by multiplying the decimal number would be the same as the answer obtained by multiplying the whole number. We have to be very conscious in placing the decimal point after the multiplication of a decimal number with a whole number.
So we can multiply 2 and 6 first, therefore we will get
 \[2 \times 6 = 12\].
But we have \[0.2\] which has a decimal point after 1 digit from the right. So we will put the decimal in 12 after 1 digit from the right. Therefore, we get
 \[ \Rightarrow 0.2 \times 6 = 1.2\]
Hence, the value of \[0.2 \times 6\] is \[1.2\].