Everything Maths Grade 10

b)In the following list, there are two false statements and one true statement. Which of the statements

istrue?

i.Every integer is a natural number.

ii.Every natural number is a whole number.

iii.There are no decimals in the whole numbers.

2.The figure here shows the Venn diagram for the special setsN;N 0 andZ.

Z

N 0

N

X

a)Where does the number^12 belong in the diagram?

b)In the following list, there are two false statements and one true statement. Which of the statements

istrue?

i.Every integer is a natural number.

ii.Every whole number is an integer.

iii.There are no decimals in the whole numbers.

3.State whether the following numbers are real, non-real or undefined.

a) 

p

3 b)

0

p

2

c)

p

 9 d)

p

7

0

e) 

p

 16 f)

p

2

4.State whether the following numbers are rational or irrational. If the number is rational, state whether it
is a natural number, whole number or an integer.

a) ^13 b)0,651268962154862... c)

p

9

3

d)^2 e)^4 f)^3

p

19

g)

(p 3

1

) 7

h) + 3 i)+0,858408346

5.Ifais an integer,bis an integer andcis irrational, which of the following are rational numbers?

a)

5

6

b)

a

3

c)

2

b

d)

1

c

6.For each of the following values ofastate whether
a
14

is rational or irrational.

a) 1 b)  10 c)

p

2 d)2,1

7.Consider the following list of numbers:

3 ; 0 ;

p

1 ; 8

4

5

;

p

8 ;

22

7

;

14

0

; 7 ;1,34 ;3,3231089...; 3 +

p

2 ; 9

7

10

;; 11

Which of the numbers are:

a) natural numbers b)irrational numbers

c) non-real numbers d)rational numbers

e) integers f)undefined

Chapter 1. Algebraic expressions 11