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Negation of a Number

Sum of two ne...

Question

The sum of two negative numbers is always ………….

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Solution

We know that when adding integers with like signs (both positive or both negative), add their absolute values and place the common sign before the sum.
That means if we add two negative integers, the resultant integer is also negative.
Therefore the sum of two negative numbers is always negative.

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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. 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|

Question 23.

State True/False

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

Sum of two negative integers is always (____)

Q. Product of two negative rational numbers is always negative.

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