Question

Write the following decimal numbers in the expanded form: 20.03.

Answer 1

Hint: For expanding the decimal number, we shift the decimal point to the right and divide the number by 10 simultaneously.

Complete step-by-step answer:
In the number system, there are two ways for representing a number i.e., in the expanded form or in the decimal form. Both of these forms are interconvertible by using some mathematical operations. As per our question we are given a number 20.03 and we are required to expand it. To expand the number, we will multiply the individual digit by 10 while moving left from the decimal point and divide 10 while moving right from the decimal point.

So, the expanded form of the number 20.03 will be:
$20.03=2\times 10+0\times 1+0\times \dfrac{1}{10}+3\times \dfrac{1}{100}$.

Note: The key step for solving this problem is the knowledge expansion of a number. Expanded form is very useful for understanding the number to a greater extent. It helps the student in understanding difficult problems easily.