The integer closest to the rational number 31/7 is 4 and it can be evaluated by using arithmetic operations and rounding off rules to the nearest integer.
Given :
[tex]\rm Rational \; Number\;\to\dfrac{31}{7}[/tex]
To determine the integer closest to the rational number ([tex]31\div 7[/tex]) follow the steps given below:
Step 1 - Write 31 as the sum of 28 and 3.
[tex]\dfrac{31}{7}=\dfrac{28+3}{7}[/tex]
Step 2 - Rewrite the above expression.
[tex]\dfrac{31}{7}=\dfrac{28}{7}+\dfrac{3}{7}[/tex]
Step 3 - Divide 28 by 7.
[tex]\dfrac{31}{7}=4+\dfrac{3}{7}[/tex]
Step 4 - Now, divide 3 by 7.
[tex]\dfrac{31}{7}= 4 + 0.4285=4.4285[/tex]
Step 5 - Now, round off the above value to the nearest integer.
[tex]\dfrac{31}{7}=4[/tex]
Therefore, the integer closest to the rational number 31/7 is 4.
For more information, refer the link given below:
https://brainly.com/question/12566790
