The main theme of Qur'an hinges on proclamation of One True Omnipotent God, without any associates, and True Faith in Him, while honesty and helping others and standing against the tyrants is next. If you just scan over these five verses, all these have been summed up in plain and easy to understand words. Now let us see how eminent Muslim scholars gave interpreted these verses:
That is, they do not live a carefree life devoid of the fear of God. They live in awe of Him and are fully conscious that He oversees and watches them in all their motives and actions and they are thus deterred from thinking and doing evil.
Tafsir Ibn-Kathir:
(Verily, those who live in awe for fear of their Lord;) means, even though they have reached the level of Ihsan and have faith and do righteous deeds, they are still in awe of Allah and fear Him and His hidden plans for them, as Al-Hasan Al-Basri said, "The believer combines Ihsan with awe, while the disbelievers combine evil deeds with a sense of security.''
Tafsir Qur'an Wiki:
By contrast, the believers are always on the alert, taking necessary precautions. Here we see how faith affects hearts, imparting to them a special kind of refinement, sensitivity and aspiration to attain perfection. They are the ones who consider the consequences of their actions. They are always ready and willing to do their duties.
Verse 58:
Sayyid Abul Ala Maududi Explanation:
"Signs" here means both Divine Revelations to the Prophets and the signs found in man's own self and in the universe around him. To believe in the verses of the Book is to affirm them, and to believe in the signs of human self and the universe is to affirm the realities which they point to.
Tafsir Qur'an Wiki:
Both its style and theme indicate that it was revealed during the middle stage of Prophethood at Makkah. Reading between the lines one feels that a bitter conflict had begun between the Prophet and the disbelievers of Makkah though the persecution by them had not yet become tyrannical. It appears that the Surah was sent down during the climax of the “Famine” in Makkah (v. 75-76) which according to authentic traditions occurred during the middle stage of Prophethood. Moreover, according to a tradition related by ‘Urwah bin Zubair, Hadarat Umar who had embraced Islam by that time said, ‘This Surah was revealed in my presence and I myself observed the state of the Holy Prophet during its revelation. When the revelation ended the Holy Prophet remarked ‘On this occasion ten such verses have been sent down to me that the one who measures up to them will most surely go to Paradise’. Then he recited the initial verses of the Surah. (Ahmad and Tirmidhi)
Tafsir Ibn-Kathir:
(And those who believe in the Ayat of their Lord;) means, they believe in His universal and legislative signs, as Allah says about Maryam, peace be upon her: (And she testified to the truth of the Words of her Lord, and His Scriptures) [66:12], meaning that she believed that whatever existed was by the will and decree of Allah, and that whatever Allah decreed, if it was a command, it would be something that He liked and accepted; if it was a prohibition, it would be something that He disliked and rejected; and if it was good, it would be true.
This is like the Ayah 59:
Verse 59:
Sayyid Abul Ala Maududi Explanation:
Though belief in the Revelations itself ingrains the doctrine of Tauhid in the hearts, yet the believers have been warned to guard against shirk. This is because, in spite of believing in the Revelations, man is inclined to commit shirk in one form or the other, for instance, in exaggerating the teachings of the Prophets and righteous people, supplicating and serving others than Allah, etc.
Tafsir Ibn-Kathir:
(And those who join not anyone (in worship) as partners with their Lord;) meaning, they do not worship anyone or anything else besides Him, but they worship Him Alone and know that there is no god except Allah Alone, the One, the Self-Sufficient Master, who does not take a wife or have any offspring, and there is none comparable or equal unto Him.
Verse 60:
Sayyid Abul Ala Maududi Explanation:
This verse (60) may be elaborated like this: "They serve their Lord and try their best to obey Him and do righteous deeds, but all along they remain humble in their hearts and are not puffed up with the pride of their piety: nay, in spite of all their good deeds, their hearts are always filled with awe that they shall have to render an account to their Lord, and they are not sure whether they will come out successful in the judgment of their Lord or not."
Tafsir Ibn-Kathir:
(And those who give that which they give with their hearts full of fear, because they are sure to return to their Lord.) means, they give to charity, fearing that it may not be accepted by them because of some shortcoming or failure to meet the required conditions of giving.
This has to do with fear and taking precautions, as Imam Ahmad recorded from `A'ishah: I said: "O Messenger of Allah, (And those who give that which they give with their hearts full of fear...) Are these the ones who steal and commit Zina and drink alcohol while fearing Allah''
The Messenger of Allah replied: (No, O daughter of Abu Bakr. O daughter of As-Siddiq, the one who prays, fast and gives in charity, fearing Allah.) This was recorded by At-Tirmidhi, and Ibn Abi Hatim recorded something similar in which the Prophet said: (No, O daughter of As-Siddiq, they are the ones who pray and fast and give in charity while fearing that it will not be accepted from them, (It is these who hasten in the good deeds.)) This is also how Ibn `Abbas, Muhammad bin Ka`b Al-Qurazi and Al-Hasan Al-Basri interpreted this Ayah.
Yusuf Ali Explanation:
Their hearts are full of reverence for Allah and fear lest their charity or their hearts be not good enough for acceptance before their Lord; for they have the certainty of a future life, in which they will stand before the Judgment Seat. They fear for their own worthiness, but they hope in Faith.
Muhammad Asad Explanation:
This is an allusion to the giving of what one is morally obliged to give, whether it be in charity or in satisfaction of rightful claims on the part of one's fellow-men, including such intangible "gifts" as the dispensing of justice.