CLASS-7
COMPARISON OF INTEGERS

COMPARISON OF INTEGERS -

Comparing integers means determining which number is greater, smaller, or if they are equal. Here’s how to compare integers:

1. Number Line Method:-

• Numbers to the right on the number line are greater.
• Numbers to the left on the number line are smaller.

For example:-

• -5 is less than -2 because -5 is to the left of -2 on the number line.
• 3 is greater than -1 because 3 is to the right of -1.

2. Rules for Comparing Integers:-

• Positive numbers are always greater than negative numbers. Example: 4 > −3
• Among positive numbers, the larger number is greater. Example: 7 > 3
• Among negative numbers, the number with the smaller absolute value is greater. Example: −2 > −5 (since -2 is closer to zero)
• If two numbers are the same, they are equal. Example: −4 = −4

3. Comparison Symbols:-

• " > " (greater than): Example: 6 > 2
• " < " (less than): Example: −3 < 1
• " = " (equal to): Example: −8 = −8

Comparing integers involves determining their relative sizes (which is greater, smaller, or if they are equal). Here's how we can compare integers:

  a) Greater Than (>):-

     An integer a is greater than b if a > b.
     Example: 5 > 3 (because 5 is greater than 3).

  b) Less Than (<):-
     An integer a is less than b if a < b.
     Example: −2 < 3 (because -2 is less than 3).

  c) Equal To (=):-
     An integer a is equal to b if a = b.
     Example: 7 = 7 (because both integers are the same).