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Is -8 a rational number?

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  • Last Updated : 23 Feb, 2022

Rational numbers are of the form p/q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers. 

It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.

Examples: -8 , -5 ,-69 etc …..

Is -8 a rational number?

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.

Here, the given number, -8 can be expressed  in the form of p/q, -8/1 and we can write -8  as -8/1 and -8 is also a negative integer .

Hence, -8 is a rational number.

Similar Questions

Question 1: Determine whether -5 is a rational number.

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. 

 Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.

Hence, -5 is an integer and it is a rational number.

Question 2: Is 4.82 a rational number or an irrational number?

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.

Irrational numbers are numbers that cannot be expressed in fractions or ratios of integers. It can be written in decimals and have endless non-repeating digits after the decimal point. It is denoted by ‘P’.

Here, the given number,4.82 can be expressed in the form of p/q.as 4.82 = 482/100 = 241/50 and has terminating digits 

Hence,4.82 is a irrational number.

Question 3: Determine whether 5/11 is a rational number or an irrational number.

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.

Irrational numbers are numbers that cannot be expressed in fractions or ratios of integers. It can be written in decimals and have endless non-repeating digits after the decimal point. It is denoted by ‘P’.

Here, the given number 5/11 can be written as after simplify 0.454545 …. is an rational number as it has recurring digits after decimal 

therefore 5/11 is a rational number .

Question 4: Is 7.65 is a rational number?

Answer:

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 7.65  has terminating digits.

Hence,7.65…. is a rational number.

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