State whether the following statement are true or false. Give rea… - Vidyadip

Question

State whether the following statement are true or false. Give reason for your answer.
Every rational number is an integer.

✓

Answer

False.
Explanation:
As rational numbers are of the form $\frac{\text{p}}{\text{q}}$ where $\text{q}\neq0.$ Integers are negative and positive numbers which are not in $\frac{\text{p}}{\text{q}}$ form.
For example, $\frac{1}{2}$ is a rational number but not an integer.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "True False With Reason" from Number System→Number System — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

Every square is a rhombus.

Write the truth value (T/F) of the following statements:
The ray AB is same as ray BA.

Write the truth value (T/F) of the following with suitable reasons:
A circle has only finite number of equal chords.

The following statements are true (T) and which are false (F):Two right triangles are congruent if hypoenuse and a side of the other trianlge.

Write the truth value (T/F) of the following statements:
Two lines may intersect in two points.

The following statements are true (T) and which are false (F)? Give reasons.
If two lines are intersected by a transversal, then corresponding angles are equal.

State whether the given statement is true of false.
Every real number is rational.

The following statement are true (T) and which are false (F):
Side opposite to equal angles of a triangle may be unequal.

Which of the following statements are true (T) and which are false (F):
A triangle can have at most one obtuse angles.

State whether the following statement are true or false. Give reason for your answer.
Every integer is a rational number.