OPERATIONS ON NUMBERS NOTE

NOTE: place value of 0 in a given numeral is 0, at whatever place it may be.

Ex.3 in the numeral 8734925, write down:

(I)                 Face value of 7

(II)               Face value of 9

(III)             Place value of 4

(IV)             Place value of 3

(V)               Place value of 8

(VI)             Place value of 5

 Sol. Writing the given numeral in place-value chart, we get

Ten-lacs	Lacs	Ten-thousands	thousands	hundreds	tens	ones
8	7	3	4	9	2	5

(I)                 Face value of 7 is 7

(II)               Face value of 9 is 9

(III)             Place value of 4= (4 x1000) = 4000

(IV)             Place value of 3=(4 x 10000) = 30000

(V)               Place value of 8 =(8x 1000000) = 8000000

(VI)             Place value of 5 = ( 5x1) = 5

3.         3.Various types of numbers:

(I)                 Natural numbers: counting numbers are called natural numbers.

 Thus 1, 2, 3, 4, 5, 6, are all natural numbers.

(II)               Whole numbers: all counting numbers and 0 form the set of whole numbers.

 Thus 0, 1, 2, 3, 4, 5,.etc. are whose numbers.

Clearly, every natural numbers is whole number and 0 is a whole number which is not a natural number.

(III)             Integers: all counting numbers, servo and negatives of counting numbers form the set of integers.

(IV)              

 Thus, -3, -2, -1, , 1, 2, 3,.. Are all integers.    

Set of positive integers = {1, 2, 3, 4, 5, 6,}

Set of negative integers = {-1, -2, -3,-4,}

So of all not – negative integers = {0, 1, 2, 3, 4, 5 ….1}

4.