Which of the following statements is not true-The sum of two integers is always an integer-The difference of two integers is always an integer-Sum of four integers can never be zero-14 gt- - 8 - -7-

The correct options are C Sum of four integers can never be zero. D 14 gt; 8 ( 7) Consider four integers 3, 5, 6, 2. The sum of these integers = 3 + ...

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Standard VII

Mathematics

Closure Property for Addition of Integers

Which of the ...

Question

Which of the following statements is not true?

The sum of two integers is always an integer.

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The difference of two integers is always an integer.

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Sum of four integers can never be zero.

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-14 > - 8 - (-7)

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Solution

The correct options are
C
Sum of four integers can never be zero.

D
-14 > - 8 - (-7)

Consider four integers 3, 5, -6, -2.

The sum of these integers = 3 + 5 + (-6) + (-2) = 0
Hence, sum of four integers can be zero.

-8 -(-7) = -8 + 7 = -1 and -1 > -14

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Similar questions

Q. Which of the following statements are true and which are false?
(i) The sum of two integers is always an integer.
(ii) The difference of two integers is always an integer.
(iii) −14 > −8 − (−7)
(iv) −5 − 2 > −8
(v) (−7) − 3 = (−3) − (−7)

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.
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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.
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Q. Which of the following statements is true?
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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.

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Which of the following statements is not true?

The correct options are C Sum of four integers can never be zero. D -14 > - 8 - (-7) Consider four integers 3, 5, -6, -2. The sum of these integers = 3 + 5 + (-6) + (-2) = 0 Hence, sum of four integers can be zero. -8 -(-7) = -8 + 7 = -1 and -1 > -14

The correct options are
C
Sum of four integers can never be zero.

D
-14 > - 8 - (-7)

Consider four integers 3, 5, -6, -2.

The sum of these integers = 3 + 5 + (-6) + (-2) = 0
Hence, sum of four integers can be zero.

-8 -(-7) = -8 + 7 = -1 and -1 > -14