whole numbers
They both exclude fractions and irrational numbers. Natural numbers are a subset of whole numbers (also called integers); Natural numbers are any positive whole number (meaning any whole number 1 or greater). Whole numbers, also called integers, can be zero or negative.
The set of all whole numbers and their opposites is called the set of integers. Integers include all positive whole numbers, negative whole numbers, and zero. Symbolically, this is often represented as ( \mathbb{Z} ).
Zero is called the smallest whole number because it is the starting point of the number line. It is less than all positive whole numbers and is considered the lowest value in the set of whole numbers. Additionally, zero is the additive identity, meaning that when added to any number, it does not change the value of that number.
Whole numbers have several key properties, including closure, commutativity, associativity, and the existence of an identity element. Closure means that the sum or product of any two whole numbers is also a whole number. Commutativity indicates that the order of addition or multiplication does not affect the result, while associativity means that the grouping of numbers does not change their sum or product. Lastly, the identity element for addition is 0, and for multiplication, it is 1.
The multiplicative identity of a number leaves that number unchanged under multiplication. Thus the multiplicative identity of any number is 1.
They are called multiplicative inverses or reciprocals of each other.
Assuming that you mean opposites (rather than oppisites), the answer will depend on what kind of opposites: additive opposites or multiplicative opposites.In the first case you have the same set as you started with: whole numbers.In the second, you will have the set that consists of the union ofall whole numbers,all unit fractions between -1 and +1. But, you have a problem with zero: its multiplicative opposite is not defined.
Let m be a whole number, then the multiplicative inverse of m is a number n such that mn=1 since 1 is the multiplicative identity. There is only one choice for n, it is 1/m since m(1/m)=1
The answer depends on the context for opposition: the additive inverses are whole numbers but the multiplicative inverses are not (except in the case of -1 and +1).
The result of multiplying two whole numbers is called a product. It is a multiple of each of the whole numbers.
The multiplicative inverse of any non-zero integer, N is 1/N.
Divide 1 by the number. The multiplicative inverse of 7 is 1/7, for example.
Fractions.
whole numbers
Rational numbers whose square roots are whole numbers are themselves whole numbers. They are called square numbers, e.g. 1, 4, 9, 16, 25 and so on.
They both exclude fractions and irrational numbers. Natural numbers are a subset of whole numbers (also called integers); Natural numbers are any positive whole number (meaning any whole number 1 or greater). Whole numbers, also called integers, can be zero or negative.