Fill in the blanks: (i) (ii) Integers are not closed under is the additive identity of the integers. (iii) [(-375) + 280 ]+ 1003 = (-375) +[ (iv) Successor of (-88,59,999)-=_ (v) Predecessor of (-1,00,000) = (vi) 3×2×(-1) ×0 = (vii) (-1) ¹⁹ = Q2. Evaluate by using suitable properties. (i) 62 × 1005 (ii) (-18) × 99 + (-18) ×1 (iii) 125 × 18 × 8 (iv) (-101) x 54 +54 Q3. Verify the following and identify the property used. (i) -61 x (100-2) = (-61) × 100-(-61) × 2 (ii) [35 × (-18)] × (-11) = 35 x [(-18) × (-11)] (iii) a (b+c) = ab+ac: a=(-2) and b=3 _].
Answers & Comments
Answer:
(i) Additive identity of the integers is 0.
(ii) 8 less than -24 = -24 - 8 = -32
(iii) Every integer less than zero is negative.
Explanation:
(i) पूर्णांकों की योगात्मक पहचान 0 है।
(ii) -24 से 8 कम = -24 - 8 = -32
(iii) शून्य से छोटा प्रत्येक पूर्णांक ऋणात्मक होता है।