EASY
8th Telangana Board
IMPORTANT
Earn 100

If a property holds good with respect to addition for rational numbers, whether it holds good for integers? And for whole number? Which one hold good and which doesn't hold good?

Important Questions on Rational Numbers

EASY
8th Telangana Board
IMPORTANT

Write the numbers whose multiplicative inverses are the numbers themselves.

MEDIUM
8th Telangana Board
IMPORTANT

Can you find the reciprocal of '0'(zero)? Is there any rational number such that when it is multiplied by '0' gives '1'?

_____×0=1 and 0×_____=1

HARD
8th Telangana Board
IMPORTANT

Complete the following table.

Numbers Additive properties
Closed Commutative Associative Existence of identity Existence of Inverse
Rational numbers Yes              
Integers Yes        
Whole numbers       Yes No
Natural numbers Yes        

 

 

HARD
8th Telangana Board
IMPORTANT

Complete the following table.

Numbers Multiplicative properties
Closed Cumulative Associative Existence of identity Existence of Inverse
Rational numbers Yes              
Integers   Yes      
Whole numbers     Yes    
Natural numbers       Yes  
EASY
8th Telangana Board
IMPORTANT

Name the property involved in the following example:

85+0=85=0+85

EASY
8th Telangana Board
IMPORTANT

Name the property involved in the following example: [Closure property/ Commutative property/ Associative property/ Distributive property]

235+12=235+212

HARD
8th Telangana Board
IMPORTANT

Name the property involved in the following examples

37×1=37=1×37

EASY
8th Telangana Board
IMPORTANT

Name the property involved in the following examples

-25×1=-25=1×-25

(Distributive Property/ Multiplicative Inverse/Additive Inverse/Multiplicative Identity).