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Using appropriate properties find:
(i)
(ii)
(i)
-2/3 × 3/5 - 3/5 ×1/6 + 5/2
[ By using commutativity of rational number ]
= (-2/3) × 3/5 + (-3/5)×1/6 +5/2
=(-3/5)(2/3 ×1/6) + 5/2 [Distributive property]
= (-3/2)( 2×2+1/6) + 5/2
= -3/2 (5/6) + 5/2
= -1/2 +5/2
= 4/2 = 2 Ans.
(ii)
= 2/5 × (-3/7) + (1/14 × 2/5) - (1/6 × 3/2)
[By using commutativity of rational number]
= 2/5 (-3/7 ×1/14) - (1/4) [ By Distributivitily]
= 2/5 (-3×2 +1/ 14 ) - (1/4)
= 2/5 (-6+1/ 14) - (1/4)
= 2/5 (-5/14) - (1/4)
= -1/7 - 1/4
= -4 - 7 / 28
= -11/28 Ans
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Related Questions
Fill in the blanks.
(i) Zero has __________ reciprocal.
(ii) The numbers __________ and __________ are their own reciprocals
(iii) The reciprocal of − 5 is __________.
(iv) Reciprocal of, where is __________.
(v) The product of two rational numbers is always a __________.
(vi) The reciprocal of a positive rational number is __________.
Write:
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.
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