# CLASSIFY RATONAL AND IRRATIONAL NUMBERS WORKSHEET

Classify each number as RATIONAL (Q) or IRRATIONAL (I)

Problem 1 :

√47

Solution

Problem 2 :

11/9

Problem 3 :

19/4

Problem 4 :

√96

Problem 5 :

19/14

Problem 6 :

15/4

Problem 7 :

√84

Problem 8 :

-9

Problem 9 :

√72

Problem 10 :

0

Problem 11 :

8/9

Problem 12 :

3

## Answer Key

 1)  irrational number2)  rational number3) rational number4)  irrational5)  rational number6) rational number 7)  irrational number8)  rational number9)  irrational number10)  rational number11)  rational number12)  rational number

Problem 1 :

Which irrational numbers is between 4 and 5.

a. √12    b.√20    c. √34     d. √80

Problem 2 :

Which number is an integer ?

a. -11/5    b.-7    c. √15     d. 1/2

Problem 3 :

Which number is irrational ?

a. 9.2727....    b.√2    c. 5√9     d. -37/71

Problem 4 :

Which of the following is a rational number but is NOT an integer?

a. 8     b. 24      c. 40/4     d. 6.2

Problem 5 :

Barbara was asked to create a set of numbers that contained only integers. Which of the sets does NOT contain only integers?

a. {11, 6, -3, -4, 600, 24/12}

b. {9, 100, -4, 12, -6, 20/5}

c. {5, 3, -8, -14, 3.5, 24/12}

d. {22, -12.0, 9, -14, 28, 4}

Problem 6 :

Rational numbers are a dense set. This means that between any two rational numbers on a number line there is another rational number. Which rational number is between 2.46 and 2.47 on a number line?

a. 2.48   b. G 2.4   c. 2.53    d. 2.468

Problem 7 :

Which statement is NOT true about rational numbers?

a. The sum of two rational numbers is also a rational number.

b. 0 is not a rational number.

c. The product of two rational numbers is also a rational number.

d. The opposite of a rational number is also a rational number.

Problem 8 :

i) √40 has an infinite non repeating decimal expansion.

ii)  The number 0.5656...... is a rational number.

iii)  -200 and 500 are integers

iv)  All numbers with infinite decimal expansions are irrational.

v)  The numbers -8, -3, 5, 17 are all whole numbers.

Problem 9 :

Which number is irrational

a. 9.2727.....      b.√2         c. 5√9       d.-37/71

Problem 10 :

Any number with a finite decimal expansion must be

a. rational    b. irrational

Problem 11 :

All integers are

a.  Whole      b. rational    c. irrational

Solution

## Answer Key

 1)  b.√202)  -73)  x = 102/114)  6.25)  c6)  2.468 7)  irrational number. 8)  i) Trueii) Trueiii) True iv) Falsev) True9)  Irrational10) Rational11) Rational

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