Mathematics
Grade-8
Easy
Question
Which number is rational?
- -80000
- Square root of 8
- Pi
- 0.01022033304444….
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: -80000
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. √8 = 2.828.................
Using Long division method, we find the square root of 8. (Refer image attached below).
The given number is a non-terminating, non-recurring decimal.
Hence, option a is an irrational number.
b. Pi = 22/7 = 3.142857143.....................
The given number is a Non-terminating, non-recurring decimal.
Hence, option b is an irrational number.
c. -80000..........
The given number is a whole number.
Hence, option c is a rational number.
d. 0.01022033304444….
The given number is a non-terminating, non-recurring decimal.
Hence, option d is an irrational number.
FINAL ANSWER-
Option 'c' i.e. '-80000' is the correct answer to the given question.
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