Question

Solve the following equation $0.2\times 1000=$………..

Answer 1

Hint: For doing multiplication of decimals with the power of 10 we will follow the rule that if a decimal is multiplied by ${{10}^{n}}$ then the decimal point is transferred right position by n places.

Complete step-by-step solution -
In the question, we are given an expression of $0.2\times 1000$ and we have to find the value of it.
Now, before proceeding let’s learn about multiplication.
Multiplication (often denoted by the cross symbol $\otimes $ or a midline dot operator $\odot $, by just a position, or on computers by an asterisk $\odot $ ) is one of the four elementary operators of arithmetic, while the others being addition, subtraction, and division. The result of a multiplication is called the product.
The multiplication of whole numbers is often referred to as a repented addition, which is multiplication of two numbers equivalent to adding as many as copies.
Now, in the question, we are given $0.2\times 1000$.
So, while doing multiplication of decimals with the power of 10 we follow the rule:
If a number is multiplication by ${{10}^{n}}$ then the decimal point will go towards the right by n places or steps.
So, $0.2\times 1000$ can be written as 200.
Hence, the value of $0.2\times 1000$ is 200.

Note: We can also do the same question by another method. We can write decimals in fraction like 0.39 as $\dfrac{39}{\text{100}}$ . So , we can write 0.2 as $\dfrac{2}{\text{10}}$ . Hence we can write $0.2\times 1000$ as $\dfrac{\text{2}}{\text{10}}\times 1000$ now on cancelling we can get the answer.