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Integers

Which integer...

Question

Which integer is its own opposite?

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Solution

Opposite of a positive integer is a negative integer.
Opposite of a negative integer is a positive integer.
$0$ is an integer, but it is neither positive nor negative. So it's opposite is $0$ itself.
Thus, $0$ is its own opposite.

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Write a number which is its own opposite.

Q. Which of the following statements are true?

(i) The smallest integer is zero.

(ii) The opposite of zero is zero.

(iii) Zero is not an integer.

(iv) 0 is larger than every negative integer.

(v) The absolute value of an integer is greater than the integer.

(vi) A positive integer is greater than its opposite.

(vii) Every negative integer is less than every natural number.

(viii) 0 is the smallest positive integer.

Q. Which of the following statements are true?

(i) The sum of a number and its opposite zero.
(ii) The sum of two negative integer is positive integer.
(iii) The sum of a negative integer and a positive integer is always a negative integer.
(iv) The successor of −1 is 1.
(v) The sum of three different integers can never be zero.

Q. a negative integer which has its own reciprocal?name it

Question 65

Write the integer which is its own additive inverse.

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