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Addition of Integers

True or false...

Question

True or false:

The sum of three integers can never be zero

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Solution

False

Let us take three integers 2, 3 and -5.

Sum of 2,3 and -5 = 2 + 3 + (-5)

= 2 + 3 - 5

= 5 - 5 = 0

Clearly, the sum of three different integers can be zero.

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The sum of three different integers can never be zero.

Q. For each of the following statements write (T) for true and (F) for false:
(i) The sum of two negative integers is always a negative integer.
(ii) The sum of a negative integer and a positive integer is always a negative integer.
(iii) The sum of an integer and its negative is zero.
(iv) The sum of three different integers can never be zero.
(v) | −5| < |−3|
(vi) |8 − 5| = |8| + |−5|

Q. The mass of a body is can be zero whereas the weight of a body can never be zero. True or false.

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. Are the following statements true or false? Give reasons.
Value of average propensity to save can never be less than zero.

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