Match the vocabulary word to its correct definition. 1. additive inverse a number belonging to the set made up of the whole numbers and their opposites 2. integer 4 a number belonging to the set made up of zero and the natural numbers 3. irrational number the opposite or negative of a number; the sum of a number and its additive inverse is zero 4. natural number a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on 5. rational number a number that can be written as a ratio of two integers in the form a/b with b ≠ 0 6. whole number a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

Answer with explanation:

We have to match each of the words to it's definition:

• Additive inverse--  the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a "  )

• Integer--   a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....}  )

• Irrational number --  a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

• Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

• Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0

• Whole number -- a number belonging to the set made up of zero and the natural numbers.

Answer:Answer with explanation:

We have to match each of the words to it's definition:

Additive inverse--  the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a "  )

Integer--   a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....}  )

Irrational number --  a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0

Whole number -- a number belonging to the set made up of zero and the natural numbers.