Step-by-step explanation:
1) Answer is option d)
2) Answer is option d)
3) The fraction 0/-5 is neither positive nor negative because of the following reasons-
- We know that, rational number can be written in the form of p/q in which p equals any integer and q not equals to zero. That is the numerator can have any number that can be either positive or negative and even zero but denominator of the rational number can be any number excluding zero as division by zero is undefined.
- Here, we have 0 in the numerators place and (-5) in the denominator's place. we know that, every integer can be expressed in the form of p/q by putting 1 in the denominator's place. we also know that, when we divide zero by any number the answer is considered undefined or simply zero.
- Therefore, 0 ÷ (-5) = 0.
- Now, even if we bring this rational number in its simplest form (-0)/5, it doesn't make any sense as zero is neither negative nor positive.
- Therefore, with this we conclude that 0/-5 or 0 divided by any integer is always zero and is neither negative nor positive.
4) We have to find an equivalent rational number which is equal to -4/17.
Here we are given that-
- Original Rational Number Fraction= - 4 / 17
- The denominator of the new ( equivalent ) rational number should be - 68.
- Therefore, the rational number formed = x / -68
Now,
Let the numerator of the new ( equivalent ) rational number be x.
ATQ, equation formed-
=> -14 = x
17 -68
or, 17( x ) = -14 ( -68 )
or, 17x = 952
or, x = 952
17
or, x = 56
Therefore, the new (equivalent) rational number = x / -68 = 56 / -56.
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