0 and 1 in multiplication/division

In  grade III of ICSE board, while learning about the whole numbers and its properties, we cannot omit the role of 0 and 1 in multiplication division, we are going to learn how 0 and 1 in multiplication and addition work.
0 and 1 in multiplication: When 0 and 1 are multiplied with  any natural number, then they produce the following output:
If 0 is multiplied with any number say n, then the result is always zero . i.e. 0 * n = 0.
 On another hand, If 1 is multiplied with any number say n, then the result is always the number itself i.e. n * n = n.
 Thus we get the following results: 23* 1 = 23  and  23 * 0 = 0
                                                                145 * 1 = 145 and 136 * 0 = 0

 Now let us see the effect of these numbers on division:
We say that if there exist a natural number n, then following division properties work:
If 0 is divided by  any number say n, then the result is always zero . i.e. 0 / n = 0 and if  any number is divided by zero, then we get the result as “ no answer “.
If any number n is divided by 1, the result is the number itself and if 1 is divided by any number , then the result we get is the multiplicative inverse of that number, so we say n / 1 = n and 1 / n is the multiplicative inverse of the number n
We have the following examples to illustrate it : ( 0 / 5 ) = 0, ( 0 / 57 ) = 0
This property of 1 makes the number 1 as the “multiplicative Identity” and the property of zero is said as “power of zero”.

In upcoming posts we will discuss about Division problems and Multiplication and division situations. Visit our website for information on Perimeter of a Rectangle Formula

Unit cost

In Grade III, Today as online tutors we are going to  learn about Unit cost of any article. Let us first define unit cost: Unit Cost of any article is the cost of the object in one  unit, this unit varies from object to object. If we are going to buy vegetables, it represents 1 Kg, if we are buying milk, then unit represents 1 liter, on another hand if we talk about buying clothes one unit represents 1 meter.  In this math homework help unit we will learn that if the cost of more than 1 unit ( say n units ) is given and we need to find the cost of 1 unit then what procedure is to be followed.  We will simply divide the total cost by the  number of units i.e. n
It will be more clear with the following examples:
If the cost of 2 kg apples is  250 $, then what is the cost of  a unit Apples?
 Here we are given the cost of  2 kg apples = 250 $
 We observe that the value of n = 2
 So to find the cost of 1 kg apples we will simply divide the total cost of the apples=
   = 250 $ / 2
Or = 125 $
 The same rule works for  larger numbers. Let us try another example: (for more details refer this)
If 15 kg of sugar cost 300 $, find the cost of  a unit of sugar?
 Here we observe that cost of 15 kg sugar is given as = 300 $
 So we have n = 15, thus in order to find the cost of 1 kg ( unit )  of sugar, we need to divide the total cost of the  sugar by 15
 So  unit cost of sugar = 300 / 15
= 20 $ Ans.

In upcoming posts we will discuss about Multiplication facts/tables and Multiplication facts and tables. Visit our website for information on 12th Biology Maharashtra board syllabus