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.

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Solution

(i) False
Integers are negative also.
(ii) True
0 is neither positive nor negative.
(iii) False
0 is simply an integer that is neither positive nor negative.
(iv) True
Every negative integer is to the left of 0 on a number line.
(v) False
The absolute value of positive integer is integer itself. So both are equal.
(vi) True
Its opposite will be a negative integer and positive integer is always greater than negative integer.
(vii) True
Natural numbers start from 0, and 0 is greater than every negative integer.
(viii) False
0 is neither positive nor negative.

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Similar questions

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

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

(iv) Every negative integer is less than any natural number.

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

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

(iv) Every negative integer is less than any natural number.

Choose the correct option:

Statement 1: Zero is less than every negative integer.

Statement 2: Zero is more than every positive integer.

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