ordering of integers
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Ordering integers refers to a particular sequence in which numbers are arranged. ... The center of the number line is 0, on the right hand side we have the positive numbers and on the left hand side we have the negative number.
What are the 2 types of ordering integers?
Positive Integers − Integers greater than zero are positive integers. On the number line, the positive integers are to the right of 0. Negative Integers − Integers less than zero are negative integers.
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COMPARISON OF INTEGERS - EXAMPLE
concept
Compare the following pair of integers:
a) -5 and 5
b) 0 and 7
c) -3 and -5
Solution: a) We can see that −5 is on the left side of the number line while 5 lies on the right side of the number line hence −5<5
b) We can see that 7 lies on the extreme right of the number line as compared to 0 hence 7>0
c) We can see that −5 is comparatively more left on the number line as compared to −3 hence −5<−3
COMPARISON OF INTEGERS - DEFINITION
When we compare two integers, then we use a number line. The further the number is to the left of the number line, the smaller the integer is of its value while the further the number is on the right to the number line the greater the integer is of its value.
COMPARISON OF INTEGERS - EXAMPLE
concept
The integers increases towards right on the number line.
So, all negative numbers are smaller than any of the positive number because negative integers are on the left of positive integers.
For eg:-
1) Find the greatest integer from 2 and 3.
2 comes before 3 from left and the numbers increases from left to right.
So, 2 is smaller and 3 is greater.
2) From −10 and 3
3 is greater because −10 is negative.
concept
Compare the following pair of integers:
a) -5 and 5
b) 0 and 7
c) -3 and -5
Solution: a) We can see that −5 is on the left side of the number line while 5 lies on the right side of the number line hence −5<5
b) We can see that 7 lies on the extreme right of the number line as compared to 0 hence 7>0
c) We can see that −5 is comparatively more left on the number line as compared to −3 hence −5<−3
COMPARISON OF INTEGERS - DEFINITION
When we compare two integers, then we use a number line. The further the number is to the left of the number line, the smaller the integer is of its value while the further the number is on the right to the number line the greater the integer is of its value.
COMPARISON OF INTEGERS - EXAMPLE
concept
The integers increases towards right on the number line.
So, all negative numbers are smaller than any of the positive number because negative integers are on the left of positive integers.
For eg:-
1) Find the greatest integer from 2 and 3.
2 comes before 3 from left and the numbers increases from left to right.
So, 2 is smaller and 3 is greater.
2) From −10 and 3
3 is greater because −10 is negative.
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