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Standard VII
Mathematics
Multiplication of Integers
Question

Which of the following statement is CORRECT?
  1. The product of a positive and a negative integer is always negative.
  2. The addition of a negative and a positive integer is always zero.
  3. For all non-zero integers a and b, a X b is always greater than either a or b.
  4. None of these

A
The product of a positive and a negative integer is always negative.
B
The addition of a negative and a positive integer is always zero.
C
None of these
D
For all non-zero integers a and b, a X b is always greater than either a or b.
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Solution
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In option (A) −x×x=−x2 which is always negative. option is correct.
In option (B) −x+y not equals to 0 it zero only when x=y option is incorrect.
In option (C) let a=−3 and b=4 then a×b=−3×4=−12 which is less than both a and b. hence this option is also incorrect.
hence only option A is correct.

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Similar Questions
Q1
Which of the following statements are true?
(i) The product of a positive and a negative integer is negative.
(ii) The product of three negative integers is a negative integer.
(iii) Of the two integers, if one is negative, then their product must be positive.
(iv) For all non-zero integers a and b, a × b is always greater than either a or b.
(v) The product of a negative and a positive integer may be zero.
(vi) There does not exist an integer b such that for a> 1, a × b = b × a = b.
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Q2
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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Q3
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|
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Q4

Question 6

Which of the following statements is not true?

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Q5
State true or false.
(i) The product of a negative and a positive integer may be zero.
(ii) The product of two negative integers is always positive.
(iii) The product of two integers with opposite signs is the same as the product of their absolute values.
(iv) If exactly one of the three given integers is negative, then product is always negative.
(v) The product of any two positive or any two negative integers is always smaller than the integers.
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