4th Class

*   Division   Distributing a quantity into some equal parts such that each part contains equal amount is called division. In another way, you are given 8 chocolates and told to distribute them among your four friends such that each of them gets equal number of chocolates. Then you will give 2  hocolates to each of your friend. You separate a quantity (Here 8 chocolates) into four parts (Here your friends) such that each of the parts contains equal amount,       You have 60 books and you want to keep them into 5 drawers such that each drawer contains equal number of books. How will you find how many books should you keep in each drawer? Solution: To find solution first see the quantity that is to be distributed (Here 60 books) then find the more...

*   Multiplication   When a quantity is added to itself number of times, use operation of multiplication to find the resulting quantity. Look at the following problems:
  • If one bag contains 50 kg cement, what would be the amount of cement in such 45 bags?
  • If 1500 books can be placed in one almirah, how many books can be placed in 5 almirah?
  • If one row has 20 plants, how many plants are there in 132 rows?
To answer the first question we need to add 50 kg 45 times. 50 kg + 50 kg + 50 kg + 50 kg...........45 times It is a tedious job and chance of error is also very much. Therefore, a short cut method is used to solve such problems called multiplication. 50 kg + 50 kg + 50 kg + 50 kg ........... 45 times = more...

*  Introduction     In this chapter you will study about two important arithmetic operations "multiplication and division". Multiplication is repeated addition of a specific quantity whereas division is a distribution of a quantity into some equal parts. Let us study them.

*  Subtraction     Subtraction is the method by which we know the remaining after taken away some quantity from a certain quantity.       * Operation of Subtraction on the Numbers   Subtract 4564569 from 9875469     Step 1:  Arrange the digits of the numerals as per the place value chart.    
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*     Addition     Addition is one of the very common arithmetic operation used in mathematics. Addition is the operation to know the total quantity when two or more than two quantities are taken together.       * Operation of Addition on the Numbers: Add 6072564 and 2545623   Step 1:   Arrange the digits of the numbers in place value chart:
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*  Introduction   In our daily life, we come across many activities when we need to apply the method of addition and subtraction. We are aware of numbers and number system now we will discuss about two simple Arithmetic operations addition and subtraction.  

*    Rules to Write Roman Numerals     Rule 1: If a symbol is repeated in a Roman Numeral, the value of the numeral is obtained by adding the value of the symbols. For example II = 1 + 1 = 2, III = 1 + 1 + 1 = 3  Rule 2 : In a Roman numeral, if a symbol at the left having greater value than the symbol at the right, add the values of these two symbols. For example VI = 5 + 1 = 6 ,  XI = 10 + 1 = 11   Find the value of the Roman numeral XV. Solution: Rule 3: In a Roman numeral, if a symbol at the right having greater value than the symbol at the left, difference of their more...

*    Introduction   The numerals, we use is commonly known as hindu -Arabic Numerals. 0, 1, 2, 3, 4, 5,6, 7, 8, 9 _ _ _ _ etc. are example of hindu-Arabic numerals. In ancient time Romans developed a system of numerations (numbering) which is known as Roman Numerals. I, II, III, IV, V, VI, VII, VIII, IX, _ _ _  etc. are example of Roman Numerals.   Roman numerals are formed by using the following symbols:  
Roman Numeral Value
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*    Puzzle Related to Numerals     There are different ways to solve a puzzle by finding a proper relation between the given information.     What is missing number in the centre of square?     Solution: 20 + 10 = 30     What is the missing number in the square?     (a) 23                                                     (b) 22 (c) 25                                                     (d) 28                                    (e) None of these     Answer (c) Explanation \[5\times 5=25,\,40-15\,\,=\,25,\,\,25-0=25,\,\,20\,+\,5\,=25\]

*    Number series     Around us, there are different kinds of things. They are in the form of clothes, wrapping papers, carpets and many more. A pattern of the things can be in different shapes or design repeated in a particular way. For example, look at the series of shapes given below:         There are four groups of picture shown above and each group has circles and squares in this way the first group has one square and one circle, second has two squares and one circle, third has two square and two circles, and fourth has three squares and two circles. Therefore, according to the above pattern the fifth group of the following pattern will have three squares and three circles. Numbers can also be in patterns as given below:                 more...


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