Comparing integers
Negative numbers on the number line Zero Negative integers Positive integers The numbers –1, –2, –3, … (to the left of zero) are called negative integers The numbers 1, 2, 3,… (to the right of zero) as positive integers. The new set of numbers …, -3, -2, -1, 0, 1, 2, 3,… are called Integers. ‘–’ symbol in front of a number is read as 'negative' or 'minus'. For example, –5 is read as negative 5 or minus 5. A number without a sign is considered as a positive number. For example, 5 is considered as +5.
When we move towards the right on the number line, Left - Numbers smaller Right - Numbers larger When we move towards the right on the number line, the numbers become larger. When we move towards the left on the number line, the numbers become smaller.
Example1:- Compare -4 and 2 Solution From the number line we can see -4 is to the left of 2. ∴-4 < 2 (ans) Example 2:- Compare -2 and -9 From the number line we can see -2 is to the right of −9. ∴ -2 > -9 (ans)
Example 3:- Compare -8 and -18 Solution From the number line we can see -8 is to the right of −18. ∴ -8 > -18 (ans) Example4:- Compare -14 and 10 From the number line we can see -14 is to the left of 10. ∴-14 < 10 (ans)
Try these Compare -4 and -10 Compare -5 and 2