Question

Which of the following statements is false? A) all real numbers are rational numbers B) every integer is a rational number C) all natural numbers are integers D) every whole number is a real number. P.s pls help I’ve been crying with tears bc im stuck

Answer 1

Answer:

A) all real numbers are rational numbers

Step-by-step explanation:

A)√7 is a real number but it is not a rational number it is irrational number.

Thus, Option A is false.

B) 3 is integer but it can be written as $\frac{3}{1} \ or \ \frac{6}{2},.. etc.$ which is rational form. Hence every integer can be express as Rational Number.

Thus the option B is correct.

C) Yes, All natural numbers are integers. Thus the option C is correct.

D) Yes, Every whole number is a real number. Thus the option D is correct.

Further,

Natural Number is the whole number except zero. i.e. 1, 2, 3, 4,....

Integers can be defined as the whole numbers including zero and positive whole numbers. i.e. ......,-4,-3, -2, -1, 0, 1, 2, 3, 4.....

Example: -546, 87855889, 0, etc.

Rational Number is the number in the form $\frac{p}{q}$, where q≠0.

Example: $\frac{2}{9}, \frac{-1}{267}, \frac{875}{2}, 3, etc.$

Real Number is the all numbers including natural, whole, integers, rational, irrational number except the imaginary numbers.

Example: $\frac{548}{5}$, 5, √28, etc.

Answer 2

$\star$  Heya! Alexa, Please don't Cry!  $\star$

The Statement which is False is :

A. All Real Numbers are Rational Numbers

Reason :

Because Real numbers include Rational and Irrational Numbers as well.