Number Systems (Leaving Cert Mathematics): Quizzes

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Number Systems
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12 questions from this quiz

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Which set best describes natural numbers?

Positive counting numbers only

Is zero a natural number?

No, natural numbers start from 1

What does the set of integers (ZZ) include that natural numbers don't?

Zero and negative numbers

Which form defines a rational number?

ab\frac{a}{b} where a,b∈Za, b \in Z, b≠0b \neq 0

Why are all integers also rational numbers?

Any integer nn can be written as n1\frac{n}{1}

Which type of decimal is always rational?

Both terminating and recurring decimals

What is 0.333...0.333... as a fraction?

13\frac{1}{3}

To convert 0.777...0.777... to a fraction, what should you do after letting x=0.777...x = 0.777...?

Multiply by 10 to get 10x=7.777...10x = 7.777...

Which of these is an irrational number?

5\sqrt{5}

Is 169\sqrt{\frac{16}{9}} rational or irrational?

Rational, equals 43\frac{4}{3}

What do real numbers (RR) consist of?

All rational and irrational numbers

Which relationship correctly shows the subset notation?

N⊂Z⊂Q⊂RN \subset Z \subset Q \subset R

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