Integers

Q1: Fill in the blanks:

i. The absolute value of any integer can never be

Answer: negative

ii. The sum of any integer and its additive inverse is always

Answer: 0

iii. a×(b+c)=(a×b)+(a×c) is

Answer: Distributive property

iv. The product of two integers having unlike signs is always a

Answer: negative integer.

v. The additive inverse of an integer a has the

Answer: opposite sign as a.

Q2: Write true (T) or false (F):

i. For any integer a, the multiplicative inverse is 1.

Answer: False

ii. The sum of two integers having unlike signs is always a positive integer.

Answer: False

iii. The multiplicative inverse of an integer is never an integer.

Answer: False

iv. Any integer multiplied to its multiplicative inverse always gives the multiplicative identity.

Answer: True

v. Every integer has a multiplicative inverse.

Answer: False

vi. The quotient of two integers with unlike signs is always negative.

Answer: True