Odd and even numbers

 Hi Friends! In this online tutor free session we will discuss about Odd and Even Numbers
 Odd and even numbers- Therse are the properties of the numbers.
Even Numbers: Even numbers are those numbers which are divided by 2 or numbers whose ones place value digit is 2 , 4 , 6 , 8 , 0
Examples are 2 , 4 , 6 , 8 , 10, 12, 14, 16 , 18 (Know History of even numbers here)
Odd Numbers: These numbers are those which end with 1 , 3 , 5 , 7 , 9
Properties of Odd and Even Numbers:
Addition:
Odd+Even =Odd
Even+Even=Even
Odd+Odd=Even
Subtraction:
Odd-Even=odd
Multiplication:
Even *odd=even
Even*even=Even
Odd*odd=Odd
Examples to Learn about Odd and Even Numbers:
Example: Check 12 is odd/Even Number?
 Answer: Even- because it ends with two
Example: Check 23 is odd/Even Number?
 Answer: Odd-Because it ends with 3
Example: Check 52 is odd/Even Number?
 Answer: Even- because it ends with two
Example: Check 91 is odd/Even Number?
 Answer: Odd
Example: Check 33 is odd/Even Number?
 Answer: Odd
Example: Check 82 is odd/Even Number?
 Answer: Even- because it ends with two
Example: Check 11 is odd/Even Number?
 Answer: Odd
Example: Check 4435 is odd/Even Number?
 Answer: Odd
Example: Check 6768 is odd/Even Number?
 Answer: Even
Example: Check 8998 is odd/Even Number?
 Answer: Even
Example: Check 21313 is odd/Even Number?
 Answer: Odd
Example: Check 344 is odd/Even Number?
 Answer: Even
Properties of Odd Even Numbers Examples
Example 1: Check the result of 22 + 42=? Whether it is Eve/Odd?
Solu: 64 -Even
Example 2: Check the result of 43 + 19=? Whether it is Eve/Odd?
Solu:  62 -Even

 For more on even and odd numbers visit here

Example 3: Check the result of  67 - 13=? Whether it is Eve/Odd?
Solu: 54 -Even
Example 4: Check the result of  72 - 12=? Whether it is Eve/Odd?
Solu: 60 -Even
Example 5: Check the result of 3 * 6=? Whether it is Eve/Odd?
Solu:  18 -Even
Example 6: Check the result of  7 * 11=? Whether it is Eve/Odd?
Solu:  77 -Odd
Example 7: Check the result of 16 * 7=? Whether it is Eve/Odd?
Solu:  112 -Even
Example 8: Check the result of 5 * 9=? Whether it is Eve/Odd?
Solu: 45-Odd


In upcoming posts we will discuss about Unit cost and Associative property of multiplication. Visit our website for information on 12th physics syllabus Maharashtra board

Addition and subtraction

Addition and Subtraction (also repeated in 4th grade math)
Addition:Adding two numbers by arranging them in equal place values is called as Addition
Studens till Grade III learn about this concept Clearly
Addition of Single digit numbers :Add the same place value digits with each other and if sum is greater than 9 then carry forward it to next place value digit
Examples: 2+3=?
Answer: 5
Examples: 6+9=?
Answer: 15
Examples: 1+4=?
Answer: 5
Examples: 5 + 3=?
Answer: 8
Examples: 2+8=?
Answer: 10
Examples: 9+4=?
Answer: 13
Addition of two digit numbers :
Examples: 73+11=?
Answer: 84
Examples: 12+53=?
Answer: 65
Examples: 18+49=?
Answer: 67
Examples: 16+82=?
Answer: 98
Examples: 55+34=?
Answer: 89
Examples: 66+33=?
Answer: 99
Examples: 89+71=?
Answer: 160
Examples: 31+51=?
Answer: 82
Examples: 06+10=?
Answer: 16
Examples: 25+26=?
Answer: 51
Examples: 60+83=?
Answer: 143
Examples: 83+57=?
Answer: 140
Examples: 97+60=?
Answer: 157
Examples: 23+34=?
Answer: 57
Examples: 63+42=?
Answer: 105
Examples: 98+29=?
Answer: 127
Examples: 78+77=?
Answer: 155
Examples: 29+77=?
Answer: 106
Examples: 30+99=?
Answer: 129
Examples: 10+20=?
Answer: 30
Examples: 37+21=?
Answer: 58
Examples: 29+39=?
Answer: 68
Examples: 43+21=?
Answer: 64
Examples: 22+70=?
Answer: 92
Examples: 72+31=?
Answer: 103
Examples: 42+61=?
Answer: 103
Examples: 90+20=?
Answer: 110
Subtraction: The number which is subtracted is called as subtrend
Subtraction of single digit number: (also read how to subtract integers)
Examples: 9-2=?
Answer: 7

Examples: 3-2=?
Answer: 1
Examples: 8-1=?
Answer: 7
Examples: 9-4=?
Answer: 5
Examples: 4-2=?
Answer: 2
Examples: 6- 1=?
Answer: 5
Examples:  5- 3=?
Answer: 2
Examples: 8- 3=?
Answer: 5
Subtraction of two digit numbers :Arrange the place value digits and if one digit is smaller than subtrend then we have to carry from the nect place value digit
Examples: 72-21=?
Answer: 51
Examples: 33-10=?
Answer: 23
Examples: 89-13=?
Answer: 76
Examples: 56-32=?
Answer: 24
Examples: 61- 11=?
Answer: 50


Examples: 38- 18=?
Answer: 20

Examples: 42- 38=?
Answer: 4
Examples: 79-35=?
Answer: 54
Examples: 75-60=?
Answer: 15
Examples: 39-17=?
Answer: 22
 Examples: 88-48=?
Answer: 40
Examples: 59-52=?
Answer: 7
Examples: 70-35=?
Answer: 35
Examples: 44-39=?
Answer: 5
Examples: 78-67=?
Answer: 11
Examples: 61-15=?
Answer: 46
 Examples: 56-42=?
Answer: 14
Examples: 43-16=?
Answer: 27
Examples: 88- 55=?
Answer: 33

Examples: 67-21=?
Answer: 46

Examples: 47-32=?
Answer: 15

Examples: 99- 42=?
Answer: 57

Examples: 55-36=?
Answer: 19

In upcoming posts we will discuss about Odd and even numbers and Rounding numbers. Visit our website for information on Tamilnadu Board Statistics Sample Papers

Fractions and decimals

Fractions and decimals for grade III

What is a decimal number? Decimal numbers are basically the type of the fraction numbers. Decimals numbers always have the fraction form. It’s not needed to write always them in the form of fraction. This is the point of understanding that 0.2 can be written as 2/10 or 1/5. 0.7 can be written as 7/10. The numbers after the decimal point decides that what power of 10 would be followed by the fraction in the denominator.

There are a few examples to understand the relation between Fractions and decimals (also use decimal to fraction calculator).

Example 1: write down 0.009 in the fraction form.
Solution: 0.009 = 9/1000
In the problem there are three numbers after the decimal point so in denominator 10 follows the power of three.

Example 2: write the fraction to decimal form of the given number 783/10000.
Solution: 783/10000 = 0.0783
This is the decimal representation of the fraction 783/10000. Here four zeroes in the denominator denote four digits after the decimal point. In the given problem only three digits are present so to make them four one additional zero is added at the left side.

Addition of decimal numbers (more on decimal number) can be easily performed as column addition. Following example would help better to understand the addition of the decimal numbers.

Example 3: Add the following decimal numbers.
           4 . 6
        + 8 . 9
Solution: Addition of the decimal numbers is the same as the column addition. It can be performed as follows
            4 . 6
        + 8 . 9 = 13  .  5
Step 1: on adding he digits of the first column from the right side the total is 9 + 6 = 15. Write down 5 and 1 would become carry for the next column.
Step 2: now add the digits of the second column with carry 4 + 8 + 1 = 13. The decimal will be at the same place as in the problem. 13.5 is the answer.


In upcoming posts we will discuss about Addition and subtraction and mode. Visit our website for information on Tamilnadu Board Sociology Sample Papers

Add subtract simple fractions

Adding and Subtracting Fractions having same denominator is much easier than the different denominator. We just need to add or subtract the numerator and write down the answer with the same denominator.

Here are some examples to add simple fractions, subtract simple fractions and how to multiply fractions for grade III.

Example 1: Calculate the addition of the fraction given below
                  (1/7) + (2/7) + (6/7) = ?
Solution: in the above problem denominator of all the three fractions are same so addition of these fractions can be done easily as
                 (1/7) + (2/7) + (6/7) = 9/7
We need to just add the numerators i.e 1 + 2 + 6 = 9
Example 2: Calculate the subtraction of the fractions given below
  (7/5) – (3/5) =?
Solution: This is the simple subtraction of fractions and can be solved as
  (7/5) – (3/5) = 4/5
Here we just need to subtract the numerator values i.e. 7 – 3 = 4 and denominator would become the same as in the problem.
To add/ subtract the fractions (read more fractions here) having different denominators can be difficult from the examples above shown. In this type of problems we have to make denominators the same so that they will look like the above problems. This is only the additional step for the fractions having different denominators.
To find the same denominator for all the fractions it is needed to calculate their LCM i.e. least common denominator. There are two methods to find out least common denominator.
• First method is that write some multiples of the denominators until we get the least common denominator.
• By second method LCD can be calculated via writing each denominator as a product of it’s prime factors.

Both will be clear after solving the following example.

Example 3: Calculate the addition of the following fractions
                  (8/5) – (3/15) = ?
Solution:  Here both denominators are different. Thus to make them same on writing the multiple of both denominators; 5 (5, 10, 15, 20, 25…) and 15 (15, 30, 45, 60…). Here the number we are looking for is 15 because it’s the least common denominator.
Thus the solution of the problem
(8/5) – (3/15) = (8*3/5*3) – (3*1/15*1)
            = (24/15) – (3/15)
            = 21/15
It can further be simplified because it’s divisible by 3 i.e. 7/5.

In upcoming posts we will discuss about Fractions and decimals and Estimation in multiplication/division. Visit our website for information on Tamilnadu Board Political Science Sample Papers

Time in terms of unit fractions

Hello children.  Today in our free math help session we are going to learn about how to do fractions and mainly Time in terms of unit fractions.
When we talk about time, it is expressed in form of hours and minutes. We can also write Time in unit fractions. Here are certain examples:
We know an hour contains 60 minutes,
So, Half of an Hour is expressed as (1/2) = 30 minutes
So if we write 1 hour thirty minutes it can also be written as one and a half hour. It is also called Half Past 1
Similarly Half past two is written as 2: 30 or we also call it two and a half hours. If we talk about 15 minutes, it is one fourth of an hour, so it is expressed as 1/4. When we write quarter past 3, it is 3: 15 or we can call it 3 and 1/4 hours.
Now we talk about 45 minutes. 45 minutes of 1 hour is 3/4 of an hour. So when the time is quarter to 5, it can be written as 4: 45, or we can even call it 4 and 3/4 of an hour.
Various fractional calculations can be done on time.
Now let us see that how the two fraction times are added up:
We have just learned that 15 minutes can be written as 1/4
Now we see that 15 min + 15 min makes  30 minutes , on other hand we can write it in form of fraction addition as
 = (1/4 ) + ( 1/4)
 = ( 2 / 4)
Now converting it to lower terms we get
= 1/2.
Again we come to a conclusion that 1/2 = 30 minutes which is also true another way.
                                            

In upcoming posts we will discuss about Add subtract simple fractions and Probability and Statistics. Visit our website for information on Logic Tamilnadu Board Sample Paper

comparing whole numbers

Dear students, in this solve math problems for me session we are going to understand how to compare whole numbers .Whole numbers are defined as the numbers that are positive including zero. Comparing the whole numbers means comparing two or more than two numbers and determining which one is less than or greater than or equal to the other number. There are several methods of finding or comparing whole numbers as place value or compare two whole numbers by number line etc.
Method 1 : By using Place Value
. Digits are lined up at the ones place
. Start the comparison from the left side with each digit in every place – value position .
. In the first position from where the digits having the different value , is the greater whole number with greater digit .
It can be understood by an example as if we have two numbers that are 24678 and 24567 then we start comparison from the first digit of left side and as first and second digit of both numbers are same and third digit is different and third digit of first number is greater than the third digit of the second number, so first number is greater than the second number.
The conclusion is 24678 > ( is greater than ) 24567 .                     

Method 2 :By using a number line :
. Right side numbers are greater than the numbers to left side
. Left side numbers are less than the numbers to right side.
Example: compare the numbers 25,489 and 25,589
Using the number line method it can be solved as 25,589 is less than the number 25,600 coming to its right and 25,489 is less than the number 25,500 comes to its right side and it is also proved that 25,500 is left to the 25,600 and 25,589 so 24,489 is also lies on the left side of the number 25,500 so the number that comes to the left side is less than the number that comes to the right side , so 24489 is less than the number 25589 that is denoted as 25489 < 25589 .


In upcoming posts we will discuss about Time in terms of unit fractions and Multiplication/division as inverse operations. Visit our website for information on Psychology Tamilnadu Board Syllabus

Compare Whole Numbers

In mathematics, number system plays an important role. We perform different functions and operations on the numbers to solve the number system problems. In the arithmetic when we talk about the number system, we first include the natural numbers 1 to 9 and whole numbers 0 to 9 (know history of whole numbers). Through this topic we are going to discuss about how to compare whole numbers. In the general sense, comparing whole numbers means evaluating values and finding out which is larger or smaller.
 Comparing the whole numbers is generally represented by three popular symbols, these are:
1) > This symbol is known as greater than
2) <  This symbol is known as less than
3)  = this symbol used when both values are equal
Let’s show how these symbols are used to solve math problems of whole number systems.
Example1: compare the values between given whole numbers.
(1) 34  _  12
(2) 56  _  65
(3) 34  _  42
(4) 78  _  49
(5) 67  _  67
Solution:  Here we are going to solve the above question by using comparison symbols. To compare the value we just find out which value is greater then we put corresponding symbol between the whole numbers (Read this resource for more details on whole number).
1) 34 > 12, Here 34 has larger value then 12 that’s why we put greater symbol to 34.
2) 56 < 65, Here 65 has larger value then 65hat’s why we put lesser symbol to 56.
3) 34 < 42, Here we can see that 34 is lesser then 42 that’s why put lesser symbol to 34.
4) 78 > 49, here 78has larger value than 49 that’s why we put greater symbol to 49.
5) 67 = 67, here both numbers have an equal value that’s why we put equal symbol between them

In upcoming posts we will discuss about comparing whole numbers and Properties of odd/even numbers. Visit our website for information on Tamilnadu Board Business Studies Syllabus

Equivalent Fractions in Grade III

We are going to study about equivalent fractions in this topic but before you have knowledge of how to do fractions and what is a equivalent fraction?. Recall that fractions are expressed in form of p/q where p and q are positive integers. Numerator is the upper number (i.e. p) and the denominator is the lower number (i.e. q).
 When we write 4/ 5, here 4 is the numerator of the fraction and 5 is the denominator of the fraction.
Let’s see what all are equivalent fractions. Any pair of fractions when converted into lowest terms gives the same result are called two equivalent fractions.
 Let us take 12/24 and 4/8
In 12 and 24, we have 12 as HCF so dividing both numerator and denominator of 12/24 by 12 we get
= (12 ÷ 12 ) / (24 ÷ 12 )
= 1/2
Similarly we observe that in 4/8, HCF of 4 and 8 is 4, so dividing both numerator and the denominator of 4/8 by 4 we get
 = (4÷4)/ (8÷4)
= 1/2
In both the cases we get 1/2 as the lowest term so the fractions 12/24 and 4/8 are equivalent fractions.

There is another way to find the series of equivalent fractions.
Let us learn to find equivalent fractions for 3/5
We continuously multiply the numerator and the denominator by 2, 3, 4, or any other number and get ample of equivalent fractions for any given fraction.
To find the equivalent fractions for 2/5, we first multiply numerator and denominator by 2
We get ,
= (2 *2)/ (5 * 2)
= 4 / 10
Now we again multiply numerator and denominator by 3, we get
 = (2 * 3) / (5 * 3)
= 6 / 15
So we conclude 4/10 and 6/15 are two equivalent fractions of 2/5.

In upcoming posts we will discuss about Compare Whole Numbers and Collect and represent data. Visit our website for information on Andhra Pradesh board textbooks

Unit fractions in Grade III

In this segment we are going to learn about Unit Fractions for Grade III. As the word unit represents 1, we come to the conclusion that:
A fraction is called a unit fraction (also try decimal to fraction calculator) when we have 1 as the numerator (the part above the line) and any of the natural number as the denominator (the part below the line).
We have 1/4, 1/5, 1/45, 1/80 as the fractions. Here we observe that the numerator is 1 and different denominators which are natural numbers.
All these fractions are the examples of natural numbers. If we see carefully 1/4 means that a whole is divided equally into 4 equal parts and we are taking only one part out of 4 parts. Similarly 1/45 means that a whole is divided equally into 45 equal parts and we are taking only one part out of 45 parts.
Unit fraction can also be called the multiplicative inverse of the natural number in denominator. Let us take a number 5. Multiplicative inverse of 5 is 1/5 which is a unit fraction. (read this resource for more information)
Plainly saying, we come to the conclusion that any fraction with 1 as a numerator is a unit fraction.
Let us try some exercise:
Find the unit fractions from the given fractions: 2/5, 3/7, 1/6, 5/9, 1/3.
Here we find that 1/6 and 1/3 are unit fractions as the numerator in these two fractions are 1.
Now we will learn about comparing unit fractions. While comparing the unit fractions, we check that if the denominator is larger, the unit fraction is smaller.
 e.g.: among 1/5 and 1/8 we find the denominator of the fraction 1/8 is bigger than the denominator of 1/5, so 1/8 is smaller than 1/5
   I.e. 1/5 > 1/8

In upcoming posts we will discuss about Equivalent Fractions in Grade III and median. Visit our website for information on CBSE computer science syllabus

Paired numbers

In this section, we will talk about Numbers and paired numbers for grade III. Numbers are fundamentals of mathematics. Numbers can be  integers (play subtracting integers worksheet here), rational, real etc.

When we talk about paired numbers it means we are talking about the patterns in them. Patterns are everywhere around us including sitting arrangement in the class. Your teacher always wants you to sit in proper arrangement in class.

By means of pattern we mean a certain rule is applied to some set of numbers and whenever we perform the reverse operation we get the numbers back and also when we apply the same operation on the result, numbers increase or decrease in same format. Improve your skills on converting of fractions to decimals

Let's take the simplest example to understand the pattern first.

Example:

1 + 2 = 3.

3 + 2 = 5

5 + 2 = 7

In the example above we apply the addition of 2. When we add 2 in 1 we gets 3 and applying the same operation (+ 2) in 3 we gets 5 same to get 7. It is clear that each number is two more than the previous. If someone ask us what would be the next number we can reply to this in no time, that the answer would be 9 (i.e. 7 + 2). We can say these numbers, that is 3, 5, 7, 9 are paired numbers.

As a grade III student you must be aware of 2's table. It also follows the pattern.

2 * 1 = 2

2 * 2 = 4

2 * 3 = 6 and so on upto

2 * 10 = 20

Now, let's discuss some real life numbers patterns. How many legs do dogs have? The answer is 4. So,

1 dog has 4 legs.

2 dogs have 8 legs (number of legs * no of dogs. That is 4 * 2)

3 dogs have 12 legs (4 * 3)

Now we have one more real life example:

Weeks and days also follow a pattern.

7 Days make a week. So,

1 week has 7 days

2 weeks have 14 days (number of weeks * 7, number of days in a week)

3 weeks have 21 days.

Now let's make those patterns bit tough.

Suppose your mom has a chart of your favorite cartoon stickers. She asked you 50 questions and for every 5 correct answers she promised you to give 3 stickers. How many stickers you get if you managed to give only 30 correct answers?

Solution: First we make a pattern for this problem.

For every 5 correct answers you get 3 stickers. For 10 correct answers you get 6. Similarly 9 stickers for 15 correct answers, and so on.

For 20 you get 12

For 25 you get 15

And for 30 you get 18.

So answer is 18 cartoon stickers for the 30 correct answers out of 50.

This is all about the paired numbers and their examples.

In upcoming posts we will discuss about Unit fractions in Grade III and Possible combinations. Visit our website for information on CBSE board physics syllabus

Fractional parts of a whole

Children in Grade III of gujarat board,Previously we have discussed about converting whole numbers to fractions and today we are going to study about whole and the fractional parts of a whole.
Let us take an apple to understand the concept of math fractions and a whole. A complete apple is called whole. Now if two friends John and Harry equally divide this apple in two equal halves, then
  John gets 1 out of 2 equal parts and Harry gets 1 out of 2 equal halves
 So we can say
John gets = 1/2 of the Apple
Harry gets = 1/2 of the Apple
Here 1 is the numerator which shows we are taking 1 part out of equal parts of the denominator i.e. 2.
Let us considered another example:
 There were 10 birds sitting on the tree,
If we say half of the birds flew away, it means 5 out of 10 birds flew away
 5/10 represents =one half,
In the same way 2 out of 4 represented by 2/4 also means one half. 2/4 represents fractional parts of the whole.
When we say 2/4, it means there are 4 equal parts and we are talking about 2 parts out of 4 equal parts
This means half.
When we talk about fraction parts of a whole, the numerator represents the fraction and the denominator represents the equal part of the whole.
Here is an exercise to see parts and whole fraction practice:
 What does 2/5 represent?
 It represents a whole is equally divided in 5 parts and we are taking into consideration 2 parts out of 5.
 In how many equal parts is the fraction 3/7 divided?
Fraction 3/7 is divided in 7 equal parts, which is represented by denominator.
 What does ‘3’ in the fraction 3/7 represent?
 3 is the numerator, it represents that we are taking 3 parts from 7 equal parts.
This is all about the Fractional parts of a whole and if anyone want to know about Models for multiplication then they can refer to Internet and text books for understanding it more precisely. You can also refer Grade 4th blog for further reading on  Place value whole numbers .