Question

31) Which of the following statement is are correct?
1) every integer is a rational number.
ii) every rational number is an integer,
mi) a real number is either a rational or irrational number.
iv) every whole number is a natural number.​

Answer 1

Answer:

Step-by-step explanation:

1) every integer is a rational number. CORRECT statement.

ii) every rational number is an integer, INCORRECT statement.

mi) a real number is either a rational or irrational number. CORRECT statement.

iv) every whole number is a natural number. INCORRECT statement. ​

Answer 2

Answer:

1),3) are the correct statement

Step-by-step explanation:

Question :- Which of the following statement is are correct?

1) every integer is a rational number.

ii) every rational number is an integer,

mi) a real number is either a rational or irrational number.

iv) every whole number is a natural number.​

To Find: The correct statements of all the options .

Explanation:-

1) Every integer can be represented in the form of p/q, where q is 1 for integers, so every integer is a rational number.

Hence the statement is true.

2) Rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as p/q, where q is not equal to zero.

An integer is a number which can be positive or negative or zero. Integers are numbers which cannot be decimals or fractions. They are either whole numbers or negative numbers.

Therefore, every integer is a rational number but every rational number need not be an integer

Therefore the statement is False.

3) The set of Rational numbers and irrational numbers together, gives the set of real numbers. Therefore the statement is correct.

4)  All natural number contains all whole numbers except zero (0). So, natural numbers cannot contain all whole numbers.

Therefore the statement is False .

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