NUMBER SYSTEMS

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
A number ‘r’ is called a number, if it can be written in the form p/q ,where p and q are integers and q ≠ 0.

A number ‘s’ is called , if it cannot be written in the form p/q, where p and q are integers and q ≠ 0.

The decimal expansion of a rational number is either or recurring.

The decimal expansion of an irrational number is non-recurring.

Every point on the number line represents one and only one .

All the rational and irrational numbers make up the collection of .

If r is rational and s is irrational, then r + s and r – s are irrational numbers, and rs and r/s are numbers, r ≠ 0.

Decimal expansions of 10/3 is .

Decimal expansions of 639/250 is .

Decimal expansions of 7/8 is .

Decimal expansions of 36/100 is .

Decimal expansions of 1/11 is .

6√5×2√5 = .

6√3×2√3= .

√2×√2 = .

6√3÷3√3= .

6√6÷3√6 = .

(5 + √5) (5 − √5) = .