Properties of Rational Numbers

IMPORTANT

Properties of Rational Numbers: Overview

This topic covers concepts, such as, Algebraic Properties of Number Systems, Closure Property of Number Systems, Distributive Property of Integers & Distributive Property of Rational Numbers etc.

Important Questions on Properties of Rational Numbers

EASY
IMPORTANT

Using Appropriate properties find:

23×-37-114-37×35

HARD
IMPORTANT

Verify :- 154×37+-125 = -154×37+-154×-125.

HARD
IMPORTANT

Solve this by using distributive property 913 multiplied by 315 then subtracted from 213.

EASY
IMPORTANT

Write the additive inverse of the following:

48

EASY
IMPORTANT

Verify that a+b=b+a, by taking a=34, b=-25

EASY
IMPORTANT

The multiplicative inverse of x+1+1x-1 is 

EASY
IMPORTANT

The multiplicative inverse of (x+1 )+ 1(x-1)

MEDIUM
IMPORTANT

Find: 378×712-378×212.

EASY
IMPORTANT

Multiplicative inverse of -8.

MEDIUM
IMPORTANT

Simplify:

-23×35+52-35×16

EASY
IMPORTANT

Using distributive law, simplify and express in form of improper fraction.

534×35+534×215

MEDIUM
IMPORTANT

Simplify and answer in pq form: 313×45-75-45×513

MEDIUM
IMPORTANT

Solve using a suitable property. Also, name the property used.

13×3+1113.

MEDIUM
IMPORTANT

Solve using a suitable property. Also, name the property used.

29+-17+49+-27.

EASY
IMPORTANT

Subtract the additive inverse of 78 from the multiplicative inverse of -57×143.

EASY
IMPORTANT

Name the property used to solve the following:

910×1=910

MEDIUM
IMPORTANT

x and y are two rational numbers. Then which of the following statements are true about x and y.

x+y is a rational number

x-y is a rational number

xy is a rational number

xy is a rational number

EASY
IMPORTANT

Which of the following statement is false?

EASY
IMPORTANT

cd  is called the reciprocal or multiplicative inverse of another non-zero rational number ab, if ab×cd=