Gujarat BoardEnglish MediumSTD 9MathsNumber System1 Mark
MCQ
Every point on a number line represents:
✓
a unique real number.
B
a natural number.
C
a rational number.
D
an irrational number.
✓
Answer
Correct option: A.
a unique real number.
On number line, we have $-\infty$ to $\infty$ numbers, consisting $-\infty...-4,-3,-2,-1,0,1,2,3,4...\infty,$ $1.12,1.14$ and $1.41406532, 3.146201286295...$ etc. That means on number line, there are natural nmbers $(1, 2, 3, 4 ...)$, integers, rational numbers $\frac{1}{2},\frac{1}{3},1.3333,$ irrational numbers $1.4148625385...$
But if we see every number as a complete family, it becomes
Real numbers (any number which can be represent on Real axes)
So, every point on the number line reoresent a unique real number which contains every type.
Hence, option $(a)$ is correct.
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