How do you prove additive inverse?

How do you prove additive inverse?

Zero is the additive inverse of itself. The additive inverse of a is denoted by unary minus: −a (see also § Relation to subtraction below). For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.

What is the additive inverse rule?

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 additive inverse of 6 /- 7?

Answer. The additive inverse of 6/7 is -6/7….

Which is the additive inverse of?

Additive inverse is also called the opposite of the number, negation of number or changed sign of original number. Fact: Additive inverse of zero is zero only….Additive Inverse of Rational Numbers.

Fraction Additive Inverse Result
10/3 -10/3 10/3 + (-10/3) = 0

What is the additive inverse of 6?

Hence, −6 is the additive inverse of 6.

What is the additive inverse of 5 by 6?

Additive inverse of a number is the is the number that, when added to a, yields zero. When we add -5/6 to 5/6 the sum is zero. Hence the additive inverse of 5/6 is -5/6.

What is the additive inverse of 5 by 7?

Answer. The additive inverse of a number is the opposite of that number, that is, the additive inverse of a number x is -x. The sum of a number and its additive inverse is always zero, that is, x + (-x) = 0.

What is the additive inverse of 1 by 2?

The additive inverse of 1/2 is 2 .

What is the additive inverse of 23?

Answer. The additive inverse of- 23 is 23.

What is the additive inverse of negative 23?

Answer: the additive inverse of -23 is +23.

What is the additive inverse of 8?

What is Additive Inverse? Additive inverse refers to any number that when added to the original number gives the result as zero. For instance, the additive inverse of 8 is -8 as 8 + (-8) = 0. It is possible to get the additive inverse of negative numbers too.

What is the quotient when a rational number is divided by its additive inverse?

The quotient when (-1) is divided by a non – zero rational number is the additive inverse of the reciprocal of the rational number. The quotient when “0” is divided by a non – zero rational number is “0”. The quotient when non – zero rational number is divided by a “0” is undefined.

What is the additive inverse of minus 5 Upon 8?

It’s additive inverse be c . Now, adding 58 to both sides, c=58 .

How many rational numbers are there between two rational numbers?

Answer : Infinite rational number exist between any two rational number.

For what value of A The number is not a rational number?

Answer. Here if the value of a is equals to zero then 11/a will not be a rational number.. rational numbers are the numbers which can be written in the form of p/q where q should not be equal to zero because any number divided by zero will become not defined and hence we cannot define that number as rational number …

What is the quotient when a non zero rational number is divided by its additive inverse?

Which of the following is its own reciprocal?

1 and -1 are the only rational numbers which are their own reciprocals. No other rational number is its own reciprocal. We know that there is no rational number which when multiplied with 0, gives 1. Therefore, rational number 0 has no reciprocal or multiplicative inverse.

Which two numbers are their own reciprocal?

The numbers 1 and −1 are their own reciprocals .

Which is the additive inverse of 27?

-27