The additive identity for integers is:
  • a)
    0
  • b)
    -1
  • c)
    1
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Gunjan Lakhani answered  •  2 hours ago
  • The additive identity property says that if you add an integer to zero or add zero to the integer, then you get the same integer back.
  • So, zero (0) is the additive identity for integers, i.e., a + 0 = 0 + a = a.

The value of [(-4) x (-9) x (-25)] ÷ [(-2) x (-3) x (-5)] is:
  • a)
    30
  • b)
    20
  • c)
    10
  • d)
    40
Correct answer is option 'A'. Can you explain this answer?

Gunjan Lakhani answered  •  2 hours ago
  • Firstly we will solve brackets according to BODMAS rule,
    (-4) x (-9) x (-25) = -900 (multiplication of odd number of negative integers gives a negative integer)
    (-2) x (-3) x (-5) = -30 (-900) / (-30) = 30 (division of even number of integers gives a positive integer)

a × (b + c) = a × b + a × c is called ______.
  • a)
    Distributive property
  • b)
    Associative property
  • c)
    Commutative property
  • d)
    Closure property
Correct answer is option 'A'. Can you explain this answer?

Gunjan Lakhani answered  •  2 hours ago
  • The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
  • Mathematically it can be written as:
    a × (b + c) = a × b + a × c
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