Arabic numerals are the ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). They are descended from the Indian numeral system developed by Indian mathematicians, in which a sequence of digits such as "975" is read as a number. They were transmitted to Europe in the Middle Ages. The use of Arabic numerals spread around the world through European trade, books and colonialism. Today they are the most common symbolic representation of numbers in the world.
The reason the digits are more commonly known as "Arabic numerals" in Europe and the Americas is that they were introduced to Europe in the 10th century by Arabs in North Africa and the Middle East, who were then using the digits. This is not to be confused with what the Arabs call the "Hindi numerals", namely the Eastern Arabic numerals (٠ - ١ - ٢ - ٣ - ٤ - ٥ - ٦ - ٧ - ٨ - ٩) used in the Middle East, or any of the numerals currently used in Indian languages (e.g. Devanagari: ०.१.२.३.४.५.६.७.८.९).
In English, the term Arabic numerals can be ambiguous. It most commonly refers to the numeral system widely used in Europe and the Americas. Arabic numerals is the conventional name for the entire family of related systems of Arabic. It may also be intended to mean the numerals used by Arabs in North Africa & Middle East, in which case it generally refers to the Eastern Arabic-Indian numerals.
The decimal Arabic numeral system was invented around 500 CE. The system was revolutionary by including a zero and positional notation. It is considered an important milestone in the development of mathematics. One may distinguish between this positional system, which is identical throughout the family, and the precise glyphs used to write the numerals, which vary regionally. The glyphs most commonly used in conjunction with the Latin script since early modern times are 0 1 2 3 4 5 6 7 8 9.
Although the phrase "Arabic numeral" is frequently capitalized, it is sometimes written in lower case: for instance, in its entry in the Oxford English dictionary. This helps distinguish it from "Arabic numerals" as the East Arabic numerals specific to the Arabs.
Read more about Arabic Numerals: Evolution of Symbols