What is the additive inverse property?

Definition. The additive inverse of a number is what you add to a number to create the sum of zero. So in other words, the additive inverse of x is another number, y, as long as the sum of x + y equals zero. For example, the additive inverse of the positive number 5 is -5.

Moreover, what is an example of the inverse property of multiplication?

A multiplicative inverse is a reciprocal. A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!

What is the inverse of 12?

In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1.

What is the definition of inverse operation?

Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.

What is the additive inverse of 6?

Mathwords: Additive Inverse of a Number. The opposite of a number. For example, the additive inverse of 12 is –12. The additive inverse of –3 is 3.

What is the additive property of equality?

Mathwords: Additive Property of Equality. The formal name for the property of equality that allows one to add the same quantity to both sides of an equation. This, along with the multiplicative property of equality, is one of the most commonly used properties for solving equations.

What is an example of the multiplicative inverse property?

A multiplicative inverse is a reciprocal. What is a reciprocal? A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!

What is the additive inverse of 8?

The additive inverse of 8 is -8. To find the additive inverse of a number, we simply change the sign of the number. In other words, the additive inverse of a given number x is -x. Therefore, to find the additive inverse of 8, we just change the sign of 8 to get -8.

What is the additive inverse property examples?

Definition. The additive inverse of a number is what you add to a number to create the sum of zero. So in other words, the additive inverse of x is another number, y, as long as the sum of x + y equals zero. For example, the additive inverse of the positive number 5 is -5.

What is the absolute value of 7?

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute value of 2 + 7 is 5.

What is an example of inverse property of multiplication?

The purpose of the inverse property of addition is to get a result of zero. The purpose of the inverse property of multiplication is to get a result of 1. We use inverse properties to solve equations. Inverse Property of Addition says that any number added to its opposite will equal zero.

What is the inverse of subtraction?

Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.

What is the additive inverse of 2?

additive inverse. See more synonyms on Thesaurus.com noun Mathematics. the number in the set of real numbers that when added to a given number will yield zero: The additive inverse of 2 is −2.

What is additive inverse of 0?

The Additive Inverse of Zero: Zero is a special number in mathematics because it holds special properties. For this reason, we call 0 the additive identity. Furthermore, if the sum of two numbers is equal to 0, then we say that the two numbers are additive inverses.

What is the distributive property of addition?

The Distributive Property is easy to remember, if you recall that “multiplication distributes over addition”. Formally, they write this property as “a(b + c) = ab + ac”. In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

What is the meaning of closure property?

Closure Property. The closure property means that a set is closed for some mathematical operation. For example, the set of even natural numbers, [2, 4, 6, 8, . . .], is closed with respect to addition because the sum of any two of them is another even natural number, which is also a member of the set.

What is the definition of the zero property?

One of zero’s unique rules is called the multiplication property. The multiplication property states that the product of any number and zero is zero. It doesn’t matter what the number is, when you multiply it to zero, you get zero as the answer. So: 2 x 0 = 0.

What is the multiplicative inverse?

In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that.

What is the associative property?

Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By ‘grouped’ we mean ‘how you use parenthesis’. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

What is the definition of zero pair?

a pair of numbers whose sum is zero, e.g. +1, -1. • used to illustrate addition and subtraction problems. with positive and negative integers. EXAMPLES: © Jenny Eather 2014.

What is the definition of multiplicative inverse?

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. Multiplicative inverses can be defined over many mathematical domains as well as numbers.

What are the properties of addition?

There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties. Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.

What is the additive inverse of a complex number?

The additive identity in the complex number system is zero (the same as in the real number system). The additive inverse of the complex number a + bi is –(a + bi) = –a – bi.

What is an integer greater than zero?

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.