Question

Put the appropriate symbol$( < , > )$in the following box
$2507324$ , $2517324$.

Answer 1

Hint: They have asked to compare the given numbers and record the comparison using $ < , > $ symbols which can be achieved with the help of the knowledge of place values. We will compare the place value of each corresponding digit of the given two numbers.

Complete step-by-step answer:
Place value may be defined as the value represented by a digit in a number on the basis of its position in the number.
Every digit in a number has place value. We will study it using the place value chart.

Ten Millions(10000000)

Millions(1000000)

Hundred Thousands(100000)

Ten Thousands(10000)

Thousands(1000)

Hundreds(100)

Tens(10)

Ones(1)

For example consider the number 514.
Last digit $4$ is in the units place and its place value is $4*1 = 4$.
$1$ is in the tens place and its place value is $1 * 10 = 10$.
$5$is in the hundreds place and its place value is $5 * 100 = 500$.
Similarly let us put the digits of the given two numbers in their respective places.

Given Numbers	Millions(1000000)	Hundred Thousands(100000)	Ten Thousands(10000)	Thousands(1000)	Hundreds(100)	Tens(10)	Ones(1)
2507324	2	5	0	7	3	2	4
2517324	2	5	1	7	3	2	4

We will compare these two numbers digit by digit by looking at their places in the above chart and use symbols$ < , > , = $ to store the comparison.
In the Millions place both the numbers have the same digits, that is$2 = 2$.
In the Hundred Thousands place both the numbers have the same digits, that is$5 = 5$.
In the Ten Thousands place the first number has the value 0 whereas the second number has the value 1, that is$0 < 1$.
Therefore the second number is greater than the first one, in symbols we can write
$2507324$$ < $ $2517324$.
So, the correct answer is “$2507324$$ < $ $2517324$”.

Note: When given similar problems with multi digit values first determine their respective places in the place value chart and start comparing from the highest place position up to the least place position. Make sure you are comparing digits of same place positions.