rational numbers any two skill based questions with solution
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1) find appropriate properties and find the value of -2/3x3/5+5/2-3/5x1/6
solution: -2/3 x 3/5 + 5/2 -3/5 x 1/6 = -2/3 x 3/5 -3/5 x 1/6 + 5/2 (community)
= -3/5 (2/3 + 1/6) +5/2 (distributive)
=-3/5 (4+1/6) +5/2
=-3/5 x 5/6 + 5/2
=-15/30 + 5/2
=-1/2 + 5/2
=4/2
=2
∴ the answer is 2
2)verify that -(-x) = x for x=-13/17
solution: x=-13/17
-x = -(-13/17) = 13/17
-(-x) = -(13/17)
∴x= -13/17
solution: -2/3 x 3/5 + 5/2 -3/5 x 1/6 = -2/3 x 3/5 -3/5 x 1/6 + 5/2 (community)
= -3/5 (2/3 + 1/6) +5/2 (distributive)
=-3/5 (4+1/6) +5/2
=-3/5 x 5/6 + 5/2
=-15/30 + 5/2
=-1/2 + 5/2
=4/2
=2
∴ the answer is 2
2)verify that -(-x) = x for x=-13/17
solution: x=-13/17
-x = -(-13/17) = 13/17
-(-x) = -(13/17)
∴x= -13/17
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