Exercise: 4-I
Multiple Choice Type
Q1: Fill in the blanks:
i. The multiplicative inverse of a rational number is also called its ______.
Answer:reciprocal
ii. Every negative rational number is ______ than 0.
Answer:less
iii. A rational number \(\frac{p}{q}\) is said to be in standard form, if q is ______ and p and q have no common divisor other than 1.
Answer:positive
iv. \(\frac{-5}{-9}\) is a ______ rational number.
Answer:positive
v. The additive inverse of a rational number \(\frac{a}{b}\) is ______.
Answer:\(-\frac{a}{b}\)
Q2: Write true (T) or false (F):
i. There exists a rational number which is neither positive nor negative.
Answer: True (0 is neither positive nor negative)
ii. Every rational number has a multiplicative inverse.
Answer: False (0 has no multiplicative inverse)
iii. Every rational number when expressed in its standard form has its denominator greater than the numerator.
Answer: False (e.g., \(\frac{5}{3}\), denominator less than numerator)
iv. The sum of a rational and its additive inverse is always.
Answer: 0
v. The product of a rational number and its multiplicative inverse is always.
Answer: 1
vi. Any two equivalent rational numbers have the same standard form.
Answer: True (standard form is unique)
vii. The product of any two rational numbers is also a rational number.
Answer: True
viii. A rational number when divided by another rational number always gives a rational number.
Answer: False (division by zero undefined)
ix. Every rational number can be represented a number line.
Answer: True
x. The rational numbers smaller than a given rational number \(\frac{p}{q}\) lie to the left of \(\frac{p}{q}\).
Answer: True
