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1. LOWEST FORM OF A RATIONAL NUMBER A rational number pq is said to be in the lowest form or simplest form if pandq have no common factor other than 1.
2. Positive rational numbers are always represented on the right side of the zero on the number line. While negative rational numbers are always represented on the left side of zero on the number line.
3. If p/q is a rational number, then q cannot be zero. A number that can be expressed in the form p/q , where p and q are integers and q ≠ 0, is called a rational number.
4.
Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.
5. Two rational numbers are said to be equivalent or equal, if they have the same simplest form. If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.
6. If
q
p
is a rational number (q
=0), what is the condition on q so that the decimal representation of
q
p
is terminating
7. If the product of two non-zero rational numbers is 1, then they are (a)Additive inverse of each other (b)Multiplicative inverse of each other (c)Reciprocal of each other (d) Both (b) and (c)
8. Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.
9. Answer. additive inverse of 23 will be -23.
10. In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).