Additionally, the great commentators explained that the plagues came to publicize belief in God. The Abarbanel (Exodus 7, end of verse 3) wrote: "Indeed, when it is said 'The Egyptians will know that I am the Lord,' it is to provide the reason for the abundance of signs. He said it would be so that the Egyptians may know that I am the Lord, not as Pharaoh said, 'Who is the Lord that I should listen to His voice.' This reveals that there were many people in Egypt who denied the existence of God, His providence, and His power, as will be explained later, and thus the plagues came to confirm and publicize those true beliefs." Later on (verse 8), he explained that Pharaoh denied three things: first, that the Creator preceded nature; second, that the Creator oversees His creations to reward individuals according to their ways; and third, that the Creator can change nature at will. The plagues of blood, frogs, and lice came to prove to him that the Lord rules over the elements of nature. Then, the plagues of wild animals, pestilence, and boils came to show him that the Lord has the power to reward individuals according to their deeds. Lastly, the plagues of hail, locusts, and darkness came to show him that the Lord can change the order of nature at His will.

The Kli Yakar (Exodus 7:17) interpreted that the plague of blood afflicted the Nile, which was one of the idols of Egypt, and the frogs that emerged from the Nile sanctified the name of God by entering the ovens. During the plague of lice, the magicians admitted that it was "the finger of God" and acknowledged His divine sovereignty, all of which indicate the truth of God's existence. In the plague of wild animals, everyone saw how the Lord differentiated between the Egyptians and the Israelites, as the wild animals entered Egypt and only affected the Egyptians. The pestilence struck only the livestock of Egypt, and the boils came from dust that spread throughout the land of Egypt but only afflicted the Egyptians, proving God's providence in giving everyone their due. The final plagues confirmed God's ability to rule over nature and change it as He wills.

The Ritba wrote (Haggadah of Pesach) about the signs given by Rabbi Yehuda in the ten plagues, saying that Pharaoh denied the existence of God, His providence, and prophecy. The first three plagues were to confirm God's existence. The next three plagues were to confirm His providence. The last three plagues were to confirm prophecy. Therefore, he said in the first three plagues 'that I am the Lord' (Exodus 7:17), meaning, recognize My existence. In the next three plagues, which were to confirm providence, he said, 'that I am the Lord in the midst of the earth' (Exodus 8:18), meaning, recognize that I oversee, for My providence is evident there. In the last three plagues, which were to confirm prophecy, he said, 'those who did not heed the word of the Lord' (Exodus 9:21), 'those who feared the word of the Lord' (Exodus 9:20), 'Pray to the Lord' (Exodus 9:28).

Similarly, in Toldot Adam (Haggadah of Pesach), it is written that through the plagues of blood, frogs, and lice, Pharaoh acknowledged God's existence. Through the plagues of wild animals, pestilence, and boils, he acknowledged God's providence. Through the plagues of hail, locusts, darkness, and the death of the firstborn, he acknowledged God's uniqueness.

Accordingly, the explanation of Maran the Steipler (Chayei Olam, Chapter 15) is fitting, which states that each plague demonstrated a different aspect of belief in God. Here are his words: All the signs and wonders that the Lord performed in Egypt through Moses our teacher, peace be upon him, were to publicize that the Creator, blessed be He, is the ruler of His world and governs everything, as it is written (Exodus 9:15-16), "For now I could have stretched out My hand and struck you and your people with a plague... But I have raised you up for this very purpose, that I might show you My power and that My name might be proclaimed in all the earth." Therefore, there were many and varied plagues, even though one plague could have subdued Pharaoh if it persisted until it was unbearable.

In the plague of blood, they saw that the Lord rules over the waters. Similarly, during the splitting of the Sea of Reeds, the waters stood like a wall (Exodus 15:8), and the waters were a wall to them on their right and on their left (Exodus 14:22).

In the plague of frogs, they saw that the Lord rules over the creatures in the waters, as it is written (Exodus 7:28), "The Nile will teem with frogs."

In the plague of wild animals, they saw that the Lord rules over the beasts of the land.

In the plague of locusts, they saw that the Lord rules over the flying creatures. All of them followed His will and decree; it was decreed that they would come in swarms to destroy, and they came to Egypt, but none dared to enter Goshen, the dwelling place of the Israelites. All adhered to the boundary, as commanded by the Creator, blessed be His name. In the plague of locusts, besides seeing that the Holy One, blessed be He, rules over the flying creatures, they also saw that the Lord rules over the wind, as the locusts came with an east wind (Exodus 10:13), and when Moses prayed for their removal, they were carried away by a very strong west wind, as explained in the passage (Exodus 10:19).

In the plague of pestilence, they saw that the Lord rules over the life of animals. It was decreed that the livestock of Egypt would die – they died, and not one of the livestock of the Israelites died (Exodus 9:7).

In the plague of the firstborn, they saw that the Lord rules over human life. All the firstborn of Egypt died at the same hour, as Moses warned in the name of the Lord, while the firstborn of Israel lived.

In the plague of lice, they saw that the Lord rules over the earth and the creatures that come from it, as the dust of the earth turned into lice and afflicted only the Egyptians and not Israel (Exodus 8:12).

In the plague of boils, they saw that human health and ailments are all in the hands of the Lord. It was decreed that the Egyptians would be afflicted with boils – they were afflicted, and the Israelites were not affected by the boils, as everything is by His decree, blessed be His name.

In the plague of darkness, they saw that the Creator, blessed be He, is the one who illuminates the earth. By His decree, the luminaries shine, and by His decree, they do not shine, and there was a palpable darkness (Exodus 10:21).

In the plague of hail, which consisted of three elements – rain, hail, and fire blazing – 'and fire ran down to the ground' (Exodus 9:23). They saw that the Lord sends clouds to rain upon the earth, and by His decree, they turn into hail. They saw that fire and water made peace to fulfill His decree, as explained by Rashi (Exodus 9:24).

However, from the words of Ramban mentioned above, it emerges that in addition to publicizing the belief in God, the wonders of the plagues also demonstrated God's providence in giving reward and punishment according to the actions and deeds of individuals.