Question

Read these numbers. Write them using placement boxes and write their expanded forms?
\[
  (i)\,475320 \\
  (ii)\,9847215 \\
  (iii)\,97645310 \\
  (iv)\,30458094 \\
 \]
Arrange these numbers in ascending and descending order.

Answer 1

Hint: Here in this question they have mentioned using the placement we have to write the number. We express the number in the Indian number system and using the number place system we write the number in the expanded form. The ascending order will be from least to the highest and the descending order will be from the highest to the least.

Complete step by step solution:
 This question comes under the topic number system. The number can be expressed in many different ways but it has the same value. The number can be written in the words form or in the numeral form or in the expanded form etc.
Here in this question, they have mentioned
(i) 475320, This is in the numeral form.
Let we draw the place value table for the given number \[4,75,320\]

Lakh(1,00,000)	Ten thousand(10,000)	Thousand(1000)	Hundred(100)	Ten(10)	Unit(1)
4	7	5	3	2	0

The number \[4,75,320\] written using the place value which is a expanded form
\[ \Rightarrow 4,75,320 = 4 \times 1,00,000 + 7 \times 10,000 + 5 \times 1,000 + 3 \times 100 + 2 \times 10 + 0 \times 1\]

(ii) 9847215, This is in the numeral form.
Let we draw the place value table for the given number \[98,47,215\]

Ten Lakh(10,00,000)	Lakh(1,00,000)	Ten thousand(10,000)	Thousand(1000)	Hundred(100)	Ten(10)	Unit(1)
9	8	4	7	2	1	5

The number \[98,47,215\] written using the place value which is a expanded form
\[ \Rightarrow 98,47,215 = 9 \times 10,00,000 + 8 \times 1,00,000 + 4 \times 10,000 + 7 \times 1,000 + 2 \times 100 + 1 \times 10 + 5 \times 1\]

(iii) 97645310, This is in the numeral form.
Let we draw the place value table for the given number \[9,76,45,310\]

Million(1,00,00,000)	Ten Lakh(10,00,000)	Lakh(1,00,000)	Ten thousand(10,000)	Thousand(1000)	Hundred(100)	Ten(10)	Unit(1)
9	7	6	4	5	3	1	0

The number \[9,76,45,310\] written using the place value which is a expanded form
\[
   \Rightarrow 9,76,45,310 = 9 \times 1,00,00,000 + 7 \times 10,00,000 + 6 \times 1,00,000 + 4 \times 10,000 + 5 \times 1,000 + 3 \times 100 + \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,1 \times 10 + 0 \times 1 \;
 \]

iV) 30458094, This is in the numeral form.
Let we draw the place value table for the given number \[3,04,58,094\]

Million(1,00,00,000)	Ten Lakh(10,00,000)	Lakh(1,00,000)	Ten thousand(10,000)	Thousand(1000)	Hundred(100)	Ten(10)	Unit(1)
3	0	4	5	8	0	9	4

The number \[3,04,58,094\] written using the place value which is a expanded form
\[
   \Rightarrow 3,04,58,094 = 3 \times 1,00,00,000 + 0 \times 10,00,000 + 4 \times 1,00,000 + 5 \times 10,000 + 8 \times 1,000 + 0 \times 100 + \\
  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,9 \times 10 + 4 \times 1 \\
 \]
The ascending order is \[\,4,75,320 < \,98,47,215 < 3,04,58,094 < 9,76,45,310\,\]
The descending order is \[\,9,76,45,310 > \,3,04,58,094 > 98,47,215 > \,4,75,320\]

Note: There are many different ways to express or to write the number or to express the number. The place value table of numbers should be known to place the number in particular that position. In the number system we have two forms, one is Indian number system and the other one is the International number system.