Why intergers indicated by Z. Some one says that I or Z. Reason for that please explain.

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There is no specific reason to use Z as sign of integer. However, in late 1930 or so a Mathematician by name N. Bourbaki made the Z as denotation of integer popular. Afterward as a representation we kept using same symbol.
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math magician

Integers derived from the word zahlen.hence z
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B.Tech in ECE from IIIT Hyderabad

This is often denoted by a boldface Z ("Z") or blackboard bold \mathbb{Z} (Unicode U+2124 ?) standing for the German word Zahlen
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Online Math Tutor for IGCSE & IB Boards with 20 years of teaching experience

The German word for number is Zahlen. The initial letter Z was taken from that word.
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Z means zahlen integers.
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Stands for the German word Zahlen.
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All subjects (upto 8th),Maths & Science (9-10th)

Same as collection all Natural number, Whole number, Real number are shown by N, W and R respectively, in standard form, similarly collection of all Integers are shown by Z only not by I. But in general if you want to assume an integer in a question then you can take any letter as an integer.
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personality development/ motivational traineer

Hi shaik, Q for the set of rational numbers and Z for the set of integers are apparently due to N. Bourbaki. (N. Bourbaki was a group of mostly French mathematicians which began meeting in the 1930s, aiming...
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Hi shaik, Q for the set of rational numbers and Z for the set of integers are apparently due to N. Bourbaki. (N. Bourbaki was a group of mostly French mathematicians which began meeting in the 1930s, aiming to write a thorough unified account of all mathematics.) The letters stand for the German Quotient and Zahlen. These notations occur in Bourbaki's Algébre, Chapter 1. Zahlen is a German word for number. read less
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