Rules to Compare Numbers

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

  • Numbers with more digits
  • Numbers starting with a larger digit

Rule 1: Number with more digits

When we compare numbers, then check if both the numbers are having the same number of digits or not. If a number has more digits, then it is greater than the other number.

Examples:

  • 33 > 3
  • 400 > 39
  • 5555 > 555
  • 10000 > 9999

Thus, from the above examples, we can reach the conclusion that:

  • Two-digit numbers are greater than single-digit numbers
  • Three-digit numbers are greater than two-digit numbers
  • Four-digit numbers are greater than three-digit numbers
  • Five-digit numbers are greater than four-digit numbers

And so on.

Rule 2: Numbers Starting with Greater Digit

This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

Examples:

  • 323>232 [323 is greater than 232]
  • 343<434 [343 is less than 434]

Thus, in the above examples, we can see that, when we compare the two numbers, though the number of digits is the same, one number is greater than/less than the other number.

Condition: As we have discussed, if the left-most digit is greater, then the number is the greater one. But if the left-most digit of both the numbers is the same, then we need to check with the second left-most digit. Thus, in this way, we can find the greater or smaller number.

Learn with an example

  • 6,055
  • 2,048
  • 5,056
  • First, count the number of digits in each number. Remember that a number with more digits is always larger.
  • Then, compare the digits with the same place value, starting from the left. Find the largest number. 6,055 is the largest number.
  • 2,732
  • 2,632
  • 3,622
  • First, count the number of digits in each number. Remember that a number with more digits is always larger.
  • Then, compare the digits with the same place value, starting from the left. Find the largest number. 3,622 is the largest number.

🗼 The aquarium’s records showed.

Tickets sold
DayNumber of tickets
Sunday4,196
Monday4,469
Tuesday4,619
Wednesday4,169

🗼 On which day did the aquarium sell the fewest tickets?

  • Sunday
  • Monday
  • Tuesday
  • Wednesday
  • Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 4,169.
  • Now find the corresponding day. Wednesday corresponds to 4,169.

Let’s practice!