REAL NUMBERS /NUMBER SYSTEM/Numbers

Fill in the blanks : (i) Every real number is either . . . . . . . . . . . . . . . Number or . . . . . . . . . . . . . . . . number. (ii) The decimal representaion of rational number is either . . . . . . . . . . . . .or . . . . . . . . .. . . . . . (iii) The decimal representation of an irrational number is . . . . . . . . . . . . . . (iv) The sum of two rational numbers is always . . . . . . . . . . . . .

State whether the following statements are true or false. Justify your answers, (i) Every irrational number is a real number.(ii) Every point on the number line is of the form sqrt(m) , where m is a natural number.(iii) Every real number is an irrational number.

For every pair of natural number n and m, to which of the following sets must n + m belong? I. The natural numbers II. The intergers III. The rational numbers IV. The real numbers V. The complex numbers

If R is the set of real numbers and Q is the set of rational numbers, then what is R- Q ?

State in each case whether true or false: Some real numbers are rational numbers.

If R is the set of real numbers and Q is the set of rational numbers, then what is R - Q ?

Complete the following sentences: (i) Every point on the number line corresponds to a ... number which many be either...... or ...... (ii) The decimal form of an irrational number is neither .... nor ....... (iii) The decimal representation of a rational number is either ..... or ..... (iv) Every real number is either .... number or...... number.

Find whether the following statements are true or false. (i) Every real number is either rational or irrational. (ii) pi is an irrational number. (iii) Irrational numbers cannot be represented by points on the number line.

Which of the following functions have their range equal to R(the set of real numbers)?

chapter 1| ex: 1.1 |number system