PROPERTIES OF RATIONAL NUMBERS

The reciprocal of a negative rational number _____

• is a positive rational number

• is a negative rational number

• can be either a positive or a negative rational number

• does not exist

The product of two rational numbers is always a ————-

• RATIONAL NUMBER

• WHOLE NUMBER

• INTEGER

• FRACTION

What property is displayed?

(1⅚+3⅞)+4⅛ ⁼ 1⅚+(3⅞+4⅛)

• ASSOCIATIVE PROPERTY UNDER ADDITION

• DISTRIBUTIVE PROPERTY OF MULTIPLICATION OVER ADDITION

• COMMUTATIVE PROPERTY UNDER MULTIPLICATION

• ASSOCIATIVE PROPERTY UNDER MULTIPLICATION

 $\frac{3}{8}+-\frac{5}{7}=-\frac{19}{56}$  

Th numerical expression given above shows that

• Rational numbers are closed under addition

• Rational numbers satisfy the associative property

• Addition of rational numbers is not commutative

• Rational numbers are not closed under addition

1/9 _* 9 = 1.Which property of rational numbers is used here?

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Multiplicative Identity Property

• Multiplicative Inverse Property

If a + (-a )= 0; then ( -a ) is called

• Additive identity of a

• additive inverse of a

• Multiplicative identity of a

• None of these

The product of a rational number and its reciprocal is-

• 0

• 1

• -1

• None of these

Associative property is true for which operations on rational numbers ?

• Addition and Multiplication

• Subtraction and Division

• Addition and Subtraction

• Addition and Division

 $\frac{5}{7}\times\left(\frac{2}{3}\times\frac{9}{11}\right)\ is\ also\ equal\ to$ 

•  $\frac{5}{7}\times\left(\frac{2}{3}+\frac{9}{11}\right)$  

•  $\left(\frac{5}{7}\times\frac{2}{3}\right)+\frac{9}{11}$  

•  $\left(\frac{5}{7}\times\frac{2}{3}\right)\times\frac{9}{11}$  

•  $\frac{5}{7}\times\frac{2}{3}+\frac{5}{7}\times\frac{9}{11}$  
  

The value of  $\frac{4}{5}\left(\frac{1}{2}+\frac{1}{4}\right)$   is _____________

•  $1\ \frac{2}{5}$  
  

•  $\frac{3}{5}$  
  

•  $\frac{2}{5}$  
  

• 1