To find the irrational number located on the number line, first let us understand,
what is a irrational number ?
The number that cannot be written in the form of fraction is irrational number.
Examples are,
√2, √5, √6,...... etc
For example, consider √4
Even though we have radical sign for 4, It is not a irrational. Because √4 can be broken into 2 x 2 and 2 can be taken out.
The following table will help to give the approximate value of radical.
√1 = 1 √4 = 2 √9 = 3 √16 = 4 √25 = 5 |
√36 = 6 √49 = 7 √64 = 8 √81 = 9 √100 = 10 |
Name the point on the number line associated with each irrational number.
Problem 1 :
Locate √50 on the number line.
Solution :
√50 is lies between √49 and √64.
Approximate value of √50 is 7.07.
So, the number 7.07 is nearly connected to the point E.
7.0 < 7.07 < 8.0
Problem 2 :
Locate √103 on the number line.
Solution :
√103 is lies between √100 and √121.
Approximate value of √103 is 10.1. So, point A will represent √103.
Problem 3 :
Locate √62 on the number line.
Solution :
√62
√62 is lies between √49 and √64.
Approximate value of √62 is 7.8.
So, the number 7.87 is nearly connected the point D.
7.0 < 7.87 < 8.0
Problem 4 :
Locate √90 on the number line.
√90
√90 is lies between √81 and √100.
Approximate value of √90 is 9.48.
So, the number 9.48 is nearly connected the point C.
9.5 < 9.48 < 10.0
Problem 5 :
Locate √37 on the number line.
√37 is lies between √36 and √49.
Approximate value of √37 is 6.0.
So, the number 6.08 is nearly connected the point B.
6.0 < 6.08 < 7.0
Problem 6 :
Locate √7 on the number line.
Solution :
√7
√7 is lies between √4 and √9.
Approximate value of √7 is 2.64.
So, the number 2.64 is middle the point B.
2.8 < 2.64 < 3.8
Problem 7 :
Locate √22 on the number line.
√22 is lies between √16 and √25.
Approximate value of √22 is 4.69.
So, the number 4.69 is nearly connected to the point A.
3.8 < 4.69 < 4.8
Problem 8 :
Locate √34 on the number line.
Solution :
√34
√34 is lies between √25 and √36.
Approximate value of √34 is 5.83.
So, the number 5.83 is nearly connected the point D.
4.8 < 5.83 < 6.0
Problem 9 :
Locate √38 on the number line.
Solution :
√38
√38 is lies between √36 and √49.
Approximate value of √38 is 6.16. Point C will be the representation of 6.1
Problem 10 :
Locate √15 on the number line.
Solution :
√15
√15 is lies between √9 and √16.
Approximate value of √15 is 3.87.
So, the number 3.87 is nearly connected the point E.
2.8 < 3.87 < 3.8
Sep 22, 23 08:41 AM
Sep 22, 23 06:13 AM
Sep 22, 23 06:09 AM