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
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
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