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4. - (- x) = x
substitute the value of x, we get
- (- 22/7) = 22/7
22/7 = 22/7
LHS= RHS
Hence Verified
5. It is of the form a*(bc) = (ab) *c
Hence, it is associative property.
6. a) 0
Rational number 0 has no reciprocal.
b) 0
Rational number 0 is equal to its negative.
7. As we know that the L.C.M for 4 and 2 is 4
Now, 1/4 = 1/4
1/2 = (1×2)/4 = 2/4
1/4 = (1×20 / 4×20) = 20/80
1/2 = (2×20 / 4×20) = 40/80
Here, we now know that 21, 22, 23,…39 are integers between numerators 20 and 40. Hence the rational numbers between 1/4 and 1/2 are 21/80, 22/80, 23/80, …., 39/80.
8. (attachment)
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