Question

sum of rational number whose absolute value is 7 by 3​

Answer 1

SOLUTION

TO DETERMINE

The sum of rational number whose absolute value is $\displaystyle \sf{ \: \: \frac{7}{3} }$

CONCEPT TO BE IMPLEMENTED

Absolute Value

The absolute value of a number x is defined as the distance of the point x from the origin O on the number line

It is denoted by | x |. It is a non negative real number

EVALUATION

Here it is given that the absolute value of the rational numbers are $\displaystyle \sf{ \: \: \frac{7}{3} }$

Then there there two such rational numbers whose absolute value is $\displaystyle \sf{ \: \: \frac{7}{3} }$

The two rational numbers are

$\displaystyle \sf{ \: \: - \frac{7}{3} \: \: and \: \: \frac{7}{3} }$

Hence their sum

$\displaystyle \sf{ = - \frac{7}{3} \: \: + \: \: \frac{7}{3} }$

$= 0$

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Answer 2

The sum of the rational numbers is equal to zero.

Step-by-step explanation:

We are given that:

• The rational numbers whose absolute value is 7/3
• To Find: The sum of the rational number

Solution:

The two same rational numbers can have either positive or negative values on the number line.

Thereofre we can write it as;

7/3 - 7/3  

As plus and minus sign cancel each other.

The sum is equal to zero.