Let us compare the two negative integers -9 and -7.
Clearly, -7 is greater than -9.
Because, when a number becomes greater and greater with negative sign, the original value of the number becomes smaller and smaller.
So, -7 > -9
If we take above value for both "-7" and "-9", the result will be different.
That is |-7| < |-9|.
More clearly, |-7| is smaller than |-9|.
Because, |-7| = 7 and |-9| = 9.
Let us understand this with number line in the following examples.
Example 1 :
Compare |-7| and |-9|
Solution :
Step 1 :
The absolute value of a number is the number’s distance from 0 on a number line.
To understand this, let us mark -7 and -9 on a number line.
Step 2 :
On the above number line, -7 is 7 units from 0.
Since -7 is 7 units from 0, we say that the absolute value of -7 is 7.
The absolute value of -7 is written |-7|.
And, we have
|-7| = 7 ------> (1)
Step 3 :
On the above number line, - 9 is 9 units from 0.
Since -9 is 9 units from 0, we say that the absolute value of -9 is 9.
The absolute value of -9 is written |-9|.
And we have
|-9| = 9 ------> (2)
Step 4 :
From (1) and (2), it is clear that 9 is greater than 7.
So, |-9| is greater than |-7|.
Example 2 :
Compare |-4| and |-4|
Solution :
Step 1 :
The absolute value of a number is the number’s distance from 0 on a number line.
To understand this, let us mark -4 and 4 on a number line.
Step 2 :
On the above number line, -4 is 4 units from 0 to the left.
Since -4 is 4 units from 0, we say that the absolute value of -4 is 7.
The absolute value of -4 is written |-4|.
And we have
|-4| = 4 ------> (1)
Step 3 :
On the above number line, 4 is 4 units from 0 to the right.
Since 4 is 4 units from 0, we say that the absolute value of 4 is 4.
The absolute value of 4 is written |4|.
And |4| = 4 ------> (2)
Step 4 :
From (1) and (2), it is clear that 4 is equal to 4.
So, |-4| is equal to |4|.
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