41, 42, 43, 44, 45, 46, 47, 48, 49, 50 Some other Important terms to remember
SUCCESSOR
The successor of a whole number is the number obtained by adding 1 to it.
Clearly, the successor of 1 is 2; successor of 2 is 3; successor of 3 is 4 and so on.
PREDECESSOR
The predecessor of a whole number is one less than the given number.
Clearly, the predecessor of 1 is 0; predecessor of 2 is 1; predecessor of 3 is 2 and so on.
The whole number 0 does not have any predecessor.
Example
1) Write the successor of
(a) $10701$ (b) $100499$ (c) $5099999$ (d) $5670$
2) Write the predecessor of
(a) $14$ (b) $100000$ (c) $8090$ (d) $4321$ Solution
1)
a) $10702$
b) $100500$
c) $5100000$
d) $5671$
2)
a) $12$
b) $99999$
c) $8089$
d)$4320$
Properties of Whole Numbers
Closure Property
Closure property on Addition for Whole Number
$0+2 =2$
$1+3=4$
$5+6=11$
So Whole number are closed on Addition Closure property on Multiplication for Whole Number
$0 \times 2 =0$
$1 \times 4=4$
$5 \times 1 =5$
So Whole number are closed on Multiplication Closure property on subtraction of Whole number
$5-0 = 5$
$0-5 =? $
$1-3 =? $
$3-1 =2$
So Whole number are not closed on Subtraction Closure property on Division of Whole number
$ \frac {2}{1}= 2$
$ \frac {1}{2} =?$
$ \frac {0}{2}= 0$
$ \frac {2}{0} =? $ ( Division by Zero is undefined)
So Whole Number are not closed on Division
In short
Closure Property
If a and b are any two whole numbers, then a+b, axb are also whole numbers.
Commutative property
Commutativity property on Addition for Whole Number
$0+2 = 2+0=2$
So Whole number are Commutative on Addition Commutativity property on Multiplication for Whole Number
$0 \times 2 =0 \; or \; 2 \times 0=0$
So Whole number are Commutative on Multiplication Commutativity property on subtraction of Whole number
$5-0 = 5$ but $0-5 =?$
So Whole number are not Commutative on Subtraction Commutativity property on Division of Whole number
$\frac {2}{1}= 2$ but $\frac {1}{2} =?$
So Whole Number are not Commutative on Division
In short
You can add two whole numbers in any order. You can multiply two whole numbers in
any order.
Commutative property
If a and b are any two whole numbers, then $a+b = b+a$ and $a \times b = b \times a$
Associative property
Associativity property on Addition for Whole Number
$0+(2+3) = (0+2) +3=5$
$1+(2+3) =6= (1+2) +3$
So Whole number are Associative on Addition Associativity property on Multiplication for Whole Number
If a is any whole number, then a ÷ 0 is not defined
Quiz Time
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Reference Books for class 6
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