use the periodic table to identify the noble gas that would be included in the noble - gas notation for each…

Explanation:

Step1: Recall noble - gas notation principle

Noble - gas notation uses the symbol of the nearest noble gas with a lower atomic number to represent the inner - shell electrons.

Step2: Identify noble gas for Si

Silicon (Si) has an atomic number of 14. The nearest noble gas with a lower atomic number is neon (Ne) which has an atomic number of 10. So for Si, we use Ne in noble - gas notation.

Step3: Identify noble gas for Fr

Francium (Fr) has an atomic number of 87. The nearest noble gas with a lower atomic number is radon (Rn) which has an atomic number of 86. So for Fr, we use Rn in noble - gas notation.

Step4: Identify noble gas for Hg

Mercury (Hg) has an atomic number of 80. The nearest noble gas with a lower atomic number is xenon (Xe) which has an atomic number of 54. So for Hg, we use Xe in noble - gas notation.

Step5: Identify noble gas for V

Vanadium (V) has an atomic number of 23. The nearest noble gas with a lower atomic number is argon (Ar) which has an atomic number of 18. So for V, we use Ar in noble - gas notation.

Answer:

Si: Ne Fr: Rn Hg: Xe V: Ar