Question 15 Marks
Using number line, how do you compare:
$a.\ $Two negative integers?
$b.\ $Two positive integers?
$c.\ $One positive and one negative integer?
$a.\ $Two negative integers?
$b.\ $Two positive integers?
$c.\ $One positive and one negative integer?
Answer
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We know that, on the number line, points to the right of zero are positive integers and points to the left of zero are negative integers. Also, if move from left to the right on the number line, then number increases and if we move from right to the left on the number line, then number decreases.
$a.\ $If we compare two negative integers on the number line, then the number which is on the right of the other number, will be greater.
e.g.
Here, we see that $-2$ is on the right of $-3,$ so $-2$ is greater and $-3$ is smaller.
$b.\ $If we compare two positive integers on the number line, then the number which is on the right of the other number, will be greater.
e.g.
Here, we see that $3$ is on the right of $1,$ so $3$ is greater and $1$ is smaller.
$c.\ $If we compare one positive and one negative integers on the number line, then a positive integer is always greater than the negative integer.
e.g
Here, we see that $2$ is on the right of $-1,$ so $2$ is greater and $-1$ is smaller.
$a.\ $If we compare two negative integers on the number line, then the number which is on the right of the other number, will be greater.
e.g.
Here, we see that $-2$ is on the right of $-3,$ so $-2$ is greater and $-3$ is smaller.
$b.\ $If we compare two positive integers on the number line, then the number which is on the right of the other number, will be greater.
e.g.
Here, we see that $3$ is on the right of $1,$ so $3$ is greater and $1$ is smaller.
$c.\ $If we compare one positive and one negative integers on the number line, then a positive integer is always greater than the negative integer.
e.g
Here, we see that $2$ is on the right of $-1,$ so $2$ is greater and $-1$ is smaller.
