Test: Rational Numbers

7/8 x -4/21 = -1/6

Option B is the correct answer.

 5 / (3 + √8)  x  ( (3 - √8) /  (3 - √8)

=  5 ( 3 - √8)/(3^{2 -} 8 ⁾

= 5 ( 3 - √8 ) / 9 - 8  = 15 - 5√8 

So option C is correct. 

Remember the general formula to find rational number between two

given number 1/2(a+b)[where a, b are given numbers]

A rational number between 1 and 2 is 1/2(1+2)=3/2

Let the three digit number be 439
The sum of digits =16
Difference =439−16=423 which is divisible by 9.

7 / 8 x -4 / 21 = -1/6

So answer is option A . 

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where aand b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6. All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.

Let x = 0.234234234.........
(1) Then , multiply both side with 1000 1000x = 234.234234......(2) Now Eq.(2)-(1) 1000x-x = 234.234234- 0.234234 999x = 234 x = 234/999

There is no single number between 3 and 4, there is an infinite amount of numbers. If you are asking for INTEGERS, there are none. If not, you can have unlimited numbers between 3 and 4. For example, a number could be 3.0000000000000000005 or 3.9999999999999997.

X=0.230769
(1) 1000000=230769.230769 

(2) subtracting 

(1) from (2) 230769 =9999999x then, x =230769/9999999 =3/13

Real numbers are the numbers that can be placed on number line
And rational number can be placed on number line so all rational numbers are real number.

- 5 / 4 + x = -1

x = -1 + 5 / 4

x = (-4 + 5) / 4

x = 1 / 4