Define Integers. write the addition and subtraction. Rules of Integers
subject mathematics
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Definition:-
The word integer originated from the Latin word “Integer” which means whole. It is a special set of whole numbers comprised of zero, positive numbers and negative numbers and denoted by the letter Z.
Addition And Subtraction Of Integers:
Whenever a positive number and a negative number are added, the sign of the greater number will decide the operation and sign of the result. In the above example 10 + (-15) = -5 and (-10) + 15 =5; here, without sign 15 is greater than 10 hence, numbers will be subtracted and the answer will give the sign of the greater number.
Also, since we know the multiplication of negative sign and a positive sign will result in negative sign, therefore if we write 10 + (-5), it means the ‘+’ sign here is multiplied by ‘-’ inside the bracket. Therefore, the result becomes 10 – 5 = 5.
Rules:
Rules defined for integers are:
Sum of two positive integers is an integer
Sum of two negative integers is an integer
Product of two positive integers is an integer
Product of two negative integers is an integer
Sum of an integer and its inverse is equal to zero
Product of an integer and its reciprocal is equal to 1
The word integer originated from the Latin word “Integer” which means whole. It is a special set of whole numbers comprised of zero, positive numbers and negative numbers and denoted by the letter Z.
Addition And Subtraction Of Integers:
Whenever a positive number and a negative number are added, the sign of the greater number will decide the operation and sign of the result. In the above example 10 + (-15) = -5 and (-10) + 15 =5; here, without sign 15 is greater than 10 hence, numbers will be subtracted and the answer will give the sign of the greater number.
Also, since we know the multiplication of negative sign and a positive sign will result in negative sign, therefore if we write 10 + (-5), it means the ‘+’ sign here is multiplied by ‘-’ inside the bracket. Therefore, the result becomes 10 – 5 = 5.
Rules:
Rules defined for integers are:
Sum of two positive integers is an integer
Sum of two negative integers is an integer
Product of two positive integers is an integer
Product of two negative integers is an integer
Sum of an integer and its inverse is equal to zero
Product of an integer and its reciprocal is equal to 1
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above one nishas answer was correct
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