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Question

Question: Write the absolute value of the following integers. \(\left( A \right)\) -5473 \(\left( B \right...

Write the absolute value of the following integers.
(A)\left( A \right) -5473
(B)\left( B \right) 856

Explanation

Solution

In this particular type of question use the concept that absolute value of the integers is the modulus of the integers and use that there are two types of integers present in the physical world either positive or negative, 0 cannot be considered as positive or negative but it is an integer so use these concepts to reach the solution of the question.

Complete step-by-step answer :
As we all know that the integers are those numbers which are written in the form of a number which does not contain any point and does not contain any fraction.
So we can say that the integers are the natural numbers.
As we all know that there are two types of integers present in the physical world either positive or negative, 0 cannot be considered as positive or negative but it is an integer to, so in other words we can say that integer is a part of whole number, as whole numbers are starting from 0, so we can say that all positive integers are the whole number.
Now absolute value of the integers is the modulus of the integers, i.e. considered an example x and –y, so the absolute value of, x = |x| and absolute value of, -y = |-y|.
Now whenever the modulus is applied i.e. absolute value is taken, positive numbers or integers remain same and negative integers or numbers become positive.
Therefore, x = |x| = x, and –y = |-y| = y.
Now we have to find out the absolute value of the given integers.
(A)\left( A \right) -5473
Therefore, absolute value is = 5473=5473\left| { - 5473} \right| = 5473
(B)\left( B \right) 856
Therefore, absolute value is = 856=856\left| {856} \right| = 856
So this is the required answer.

Note :Whenever we face such types of questions the key concept we have to remember is that whenever the modulus is applied i.e. absolute value is taken, positive numbers or integers remain same and negative integers or numbers become positive, so first apply the modulus as above applied in the solution part and then simplify according to above description we will get the required answer.