Question

Write the following number in expanded form : \[5032109\].

Answer 1

Hint: We have to write the given number \[5032109\] in expanded form. We solve this question using the concept of the number system. We will write the given expression in expanded form and hence put the value of the expression in terms of ten - lakhs, lakhs, ten - thousands, thousand, hundreds, tens and ones of the number system. We will split the value and write it in the expanded form.

Complete step-by-step solution:
Given :
We have to write the number \[5032109\] as an expanded form.
The expanded form means splitting the digits of the given number as per in terms of the value of the place and adding up all the values of all the places.
So, we can represent the number \[5032109\] in the form of a place value as :
\[\text{Ten - lakhs} = 5\]
\[\text{Lakhs} = 0\]
\[\text{Ten - thousands} = 3\]
\[\text{Thousand} = 2\]
\[\text{Hundreds} = 1\]
\[\text{Tens} = 0\]
\[\text{Ones} = 9\]
So, the digits are as :
\[5\] in ten - lakhs, 0 in Lakhs, \[3\] in ten - thousands, \[2\] in thousand, \[1\] in hundreds, \[0\] in tens and \[9\] in one place.
Also, the number \[5032109\] can also be represented as :
“ Fifty lakhs + zero + thirty thousands + two thousands + one hundred + zero + nine
So, we can also write the number 5032109 as :
\[5032109 = 5 \times 10,00,000 + 3 \times 10,000 + 2 \times 1,000 + 1 \times 100 + 9 \times 1\]
Hence, the number \[5032109\] in expanded form is written as : \[5 \times 10,00,000 + 3 \times 10,000 + 2 \times 1,000 + 1 \times 100 + 9 \times 1\].

Note: We should be careful while writing the number in place value form. We may mistakenly skip a number or a place of value, which can change up the whole result and hence result into a wrong expanded form. We should also take care that the expansion of the number is to be written in terms of which type of system of values i.e. the International system or the Indian system of value. As in the international system of value we don’t use lakhs, ten lakhs instead we use millions.