Mathematics
State True or False :
The sum of two integers having unlike signs is always a positive integer.
Integers
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Answer
False
Reason
The sign of the sum depends on the absolute value of the integers. If the negative integer has a greater absolute value, the sum will be negative. If the positive integer has a greater absolute value, the sum will be positive.
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Related Questions
Fill in the blanks :
(i) The absolute value of any integer can never be …………… .
(ii) The sum of any integer and its additive inverse is always …………… .
(iii) a x (b + c) = (a x b) + (a x c) is …………… property of multiplication over addition.
(iv) The product of two integers having unlike signs is always a …………… integer.
(v) The additive inverse of an integer a has the …………… sign as a.
State True or False :
For any integer a, the multiplicative inverse is 1.
State True or False :
The multiplicative inverse of an integer is never an integer.
State True or False :
Any integer multiplied to its multiplicative inverse always gives the multiplicative identity.