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Properties of Addition and Subtraction

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Question

What is the smallest negative integer?

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Solution

Determine the smallest negative integer.
The set of a negative integers is $\{- 1, - 2, - 3, . . .\}$ .
From the above set, the greatest negative integer is $- 1$ .
We know that there are an infinite number of negative integers.
Hence, there is no smallest negative integer.

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Q. For each of the following statements, write (T) for true and (F) for false:

(i) The smallest integer is zero.
(ii) − 10 is greater than − 7
(iii) Zero is larger than every negative integer.
(iv) The sum of two negative integers is a negative integer.
(v) The sum of a negative integer and a positive integer is always a positive integer.

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.

What is the smallest negative integer?

The greatest negative integer is ____ and the smallest positive integer is _____.

Q. Which of the following is the smallest non-negative integer?

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