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What set of numbers include additive inverses for all of its elements?
II, III, and IV (stufy island)
What are the identity elements for the addition and multiplication of rational numbers?
For addition, 0 and for multiplication, 1.
What is the meaning of opposite in a mathematical term?
The answer depends on the context. There are opposite numbers that can be the additive inverses, or multiplicative inverses.
Which of the following sets of numbers contains multiplicative inverses for all its nonzero elements?
Please don't write "the following" if you don't provide a list. This is the situation for some common number sets:* Whole numbers / integers do NOT have this property. * Rational numbers DO have this property. * Real numbers DO have this property. * Complex numbers DO have this property. * The set of non-negative rational numbers, as well as the set of non-negative real numbers, DO have this property.
The set of natural numbers their inverses and zero?
Integers
Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
What set of numbers include additive inverses for all of its elements?
II, III, and IV (stufy island)
What are the identity elements for the addition and multiplication of rational numbers?
For addition, 0 and for multiplication, 1.
What is the meaning of opposite in a mathematical term?
The answer depends on the context. There are opposite numbers that can be the additive inverses, or multiplicative inverses.
What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
Which of the following sets of numbers contains multiplicative inverses for all its nonzero elements?
Please don't write "the following" if you don't provide a list. This is the situation for some common number sets:* Whole numbers / integers do NOT have this property. * Rational numbers DO have this property. * Real numbers DO have this property. * Complex numbers DO have this property. * The set of non-negative rational numbers, as well as the set of non-negative real numbers, DO have this property.
The set of natural numbers their inverses and zero?
Integers
What is the definition for identity property of multiplication?
The identity property for a set with the operation of multiplication defined on it is that the set contains a unique element, denoted by i, such that for every element x in the set, i * x = x = x * i The set need not consist of numbers, and the multiplication need not be the everyday kind of multiplication. Matrix multiplication is an example.
What is two numbers whose sum is zero?
Additive inverses
What are two numbers that have opposite signs called?
additive inverses
What are two numbers that equal zero called?
additive inverses
What is the operations that undo each other like multiplication and division?
Operations that undo each other are called inverse operations. Division is the inverse of multiplication as it undoes the multiplication. eg 3 × 7 = 21; 21 ÷ 7 = 3. Note that there is NO inverse for multiplying by 0.
