Mathematics
Grade-8
Easy
Question
Identify the rational number among the following
- Pi
- Square root of 7
- Square root of 25 minus the square root of 3
Hint:
Terminate decimal refers to a decimal with a finite number of digits after the decimal point.
A recurring decimal refers to a decimal with a repeated digit or digits at the end after the decimal point.
Rational numbers refer to those numbers that can be represented as a simple fraction and can be either a whole number, a terminating decimal or a non terminating recurring decimal.
Irrational numbers refer to those numbers that cannot be represented as a simple fraction and are non-terminating non-recurring decimal.
The correct answer is:
TO FIND-
Rational number from the given options.
SOLUTION-
From the given options, to find the irrational number, we find the option that is a non-terminating, non-recurring decimal.
a. Pi = 22/7 = 3.142857143.....................
The given number is a Non-terminating, non-recurring decimal.
Hence, option b is an irrational number.
b. √7 = 2.645.................
Using Long division method, we find the square root of 7. (Refer image attached below).
The given number is a non-terminating, non-recurring decimal.
Hence, option a is an irrational number.
c. 1/3 + 1/3 = (1 + 1) / 3 = 2/3 = 0.66666........................
The given number is a Non-terminating, recurring decimal.
Hence, option c is a rational number.
d. √25 - √3 = 5 - √3 = 5 - 1.732....... ≈ 3.268
Using Long division method, we find the square root of 3. (Refer image attached below).
The given number is a non-terminating, non-recurring decimal.
Hence, option d is an irrational number.
FINAL ANSWER-
Option 'c' i.e. '1/3 + 1/3' is the correct answer to the given question.
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