explain the procedure to represent the rational number -6/7 on the number line
Answers
Step-by-step explanation:
A number that is expressed in the form a/b is called as rational number.
Here both "a" and "b" are integers and also b ≠ 0.
We all know, how to represent integers on the number line.
In the picture given below, the two integers 3 and 4 are represented on a number line.
In the picture given below, the integers -1, 0, 1, 2 and 3 are represented on a number line.
On a number line, can you find any integer between 1 and 2 ?
No.
But, between any two integers, we can represent rational rational numbers.
For example, between 0 and 1, we can represent rational numbers 1/10, 2/10, 3/10, .....which can be written as 0.1, 0.2, 0.3,.....
Similarly, we know that the numbers 1/4, 1/2, 3/4 can be represented between 0 and 1. These are rational numbers which can be written as 0.25, 0.5, 0.75 respectively.
Now, consider 2/5 and 4/5.
Can you find any rational number between 2/5 and 4/5 ?
Yes. There is a rational number 3/5
In the same manner, we know that the numbers 1/5, 2/5, 3/5 and 4/5 are lying between 0 and 1.
Can you find more rational numbers between 2/5 and 3/5 ?
Yes. We write 2/5 as 20/50 and 3/5 as 30/50, then we can find many rational numbers between them.
We can find nine rational numbers 21/50, 22/50, 23/50, 24/50, 25/50, 26/50, 27/50, 28/50 and 29/50.
If we want to find some more rational numbers between 22/50 and 23/50, we write 22/50 as 220/500 and 23/50 as 230/500.
Then we get nine rational numbers 221/500, 222/500, 223/500, 224/500, 225/500, 226/500, 227/500, 228/500 and 229/500.
Step-by-step explanation:
answer already given
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