Choose all true statements:

1 - All real numbers are rational numbers.
2 - Some rational numbers are natural numbers.
3 - No real numbers are irrational numbers.
4 - All whole numbers are integers.
5 - Some integers are natural numbers.
6 - No rational numbers are integers.

Question

23-08-2017
Mathematics

contestada

Choose all true statements:

1 - All real numbers are rational numbers.
2 - Some rational numbers are natural numbers.
3 - No real numbers are irrational numbers.
4 - All whole numbers are integers.
5 - Some integers are natural numbers.
6 - No rational numbers are integers.

Respuesta :

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2017-08-31T07:41:10+02:00

1 - All real numbers are rational numbers. FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.

2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.

3 - No real numbers are irrational numbers. FALSE
The real numbers are made up of rational numbers and irrational numbers. Thus, some real numbers are natural numbers.

4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.

5 - Some integers are natural numbers. TRUE
The integers comprises of the whole numbers plus the negative of the whole numbers. The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.

6 - No rational numbers are integers. FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.
Thus, all integers are rational numbers and some rational numbers are integers.

adioabiola adioabiola · Answer 2 · 2022-02-21T14:08:02+01:00

The statements which are true are;

Some rational numbers are natural numbers.
All whole numbers are integers.
Some integers are natural numbers.

Class of Numbers

Statement 1 - All real numbers are rational numbers. FALSE

All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.

Statement 2 - Some rational numbers are natural numbers. TRUE

All natural number are rational numbers, but not all rational numbers are natural numbers.

Statement 3 - No real numbers are irrational numbers. FALSE

The real numbers are made up of rational numbers and irrational numbers.

Statement 4 - All whole numbers are integers. TRUE

The whole numbers are the natural numbers including 0. The integers is made up of the whole numbers plus the negative of the whole numbers.

Statement 5 - Some integers are natural numbers. TRUE

The integers comprises of the whole numbers plus the negative of the whole numbers. The whole numbers are the natural numbers plus 0.

Statement 6 - No rational numbers are integers. FALSE

The rational numbers are made up of the integers and any number that can be expressed as a fraction.

Choose all true statements: 1 - All real numbers are rational numbers. 2 - Some rational numbers are natural numbers. 3 - No real numbers are irrational numbers. 4 - All whole numbers are integers. 5 - Some integers are natural numbers. 6 - No rational numbers are integers.

Respuesta :

Class of Numbers

Otras preguntas

Choose all true statements:

1 - All real numbers are rational numbers.
2 - Some rational numbers are natural numbers.
3 - No real numbers are irrational numbers.
4 - All whole numbers are integers.
5 - Some integers are natural numbers.
6 - No rational numbers are integers.