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Properties of Addition and Subtraction of Integers

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Question

Question 36.

State True/False

The difference between an integer and its additive inverse is always even.

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Solution

True

Let us take the integer 2. The additive inverse of 2 is -2.

Now, difference between 2 and -2 = 2 - (-2) = 2 + 2 = 4, which is even.

The difference between an integer and its additive inverse is always even.

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The sum of any two negative integers is always smaller than both the integers.

Q. Which of the following statements are true:

(i) −13 > −8 − (−2)
(ii) −4 + (−2) < 2.
(iii) The negative of a negative integer is positive.
(iv) If a and b are two integers such that a > b, then a − b is always positive integer,
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(vii) Additive inverse of a positive integer is negative.
(viii) Additive inverse of a negative is positive.

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Properties of Addition and Subtraction of Integers

Standard VI Mathematics

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