Rational Number Blog 1

REMINDER FOR ALL.....

*We at St Columba's School, are ready to take the next step - and move towards using Google Classroom as a tool to enhance the teaching learning environment.

*This shift involves the school giving each student a unique email address, which he will need to setup ( the teachers will assist him in doing the same). This email will facilitate each student to interact with his teachers.

* The student should use this email ID only for:
-interacting with  teachers on school /subject related matters
-keep the words and expressions as he would- if he  were interacting with us as a Columban student
-use the facilities connected to this email ID only for google meets organised with the permission of a teacher 
-he should have a copy of the permission given ( when and by which teacher and for what purpose)
-do not access any of the other facilities connected with this email address unless he first seeks the permission of a teacher
(He should have a copy of the permission given - when and by which teacher and for what purpose).

*Please note that Google and St Columba's have legal obligations by giving you access to this email address and hence,
you will need to sign an agreement when creating this email ID. 

*Be informed that the history of use of this ID shall have a digital footprint.

Good morning boys,
Today we are starting rational numbers.
Let us learn some important terms.

1. Natural numbers: Counting numbers are called natural numbers. Eg. 1, 2, 3, 4......

2. Whole numbers: All natural numbers and 0 are called Whole numbers. Eg. 0, 1, 2, 3, 4, 5........

3. Integers: Natural numbers, 0, and negative of counting numbers are called Integers. Eg. 1, 3, 8, 0, -1, -5, -6........ are all integers.

4. Fractions: The number of the form a , when a and b are natural
                                                            b
numbers and are called fractions. Eg. 2, 3, 11 are fractions.
                                                            3   8  5

5. Rational numbers: The number of the form p , q and p are 
                                                                          q
integers and q is not equal to 0  are called rational numbers. 

Example of rational numbers:

1. 3, -6, -8 is a Rational numbers. 
   -4 17  -3

2. 0 is a rational number since we can write 0     =     0
                                                                                             1

3. All natural numbers are rational number.

4. Every integers is a Rational number. Eg. -2 = -2
                                                                                    1
5. Every fraction is a rational number Eg.  2 ,  4 
                                                                         3    5

Positive natural numbers:

A rational number is said to be positive if it's numerator and denominator are either positive or both negative.
eg.  5 ,  -13  
       7     -8

Negative Rational numbers:

A rational number is said to be negative if its numerator and denominator is such that one of them is positive integers and the other is a negative integer.
Eg.   -3  ,  3 
         5    -5

Do the following exercises:

Q1. Which of the following are rational numbers?

1.  5 
    -8


2.  -6 
     11

3.  7 
    15

4.  1 
     0

5.  0 
     0

6. 0

7. -3

Q2. Write each of the following integers as a rational number.

1. 5       2. -3      3. 0       4. -1      5. -23

Q3. Which of the following are negative rational numbers?
1. -15     2. 0     3. -5      4. 4     5. 1
     -4                      7         -9

Q4. Express  -5  as a rational number with positive numerator.
                     13
       Eg.  -5  =  -5   x  -1  =  5 
              13      13      -1      -13
Do the following:
1.  12      2. 1    3.  11 
    -17         -2        -6

Q5. State weather true or False: 
1. Zero is the smallest rational number .
2. Every integer is a Rational number.
3. The quotient of 2 integers is always a rational number.
4. Every fraction is a rational number.
5. Every rational number is a fraction.



Check your answer below:
1. False 
2. True 
3. False
4. True 
5.  False