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Practice each question, then open the answer or worked solution.
The negative of a negative rational number is always a ________ rational number.
Solution:-
The negative of a negative rational number is always a positive rational number.
Example, let – a be a negative rational number.
Then, negative of a negative rational number = – (-a) = a positive rational number.
Rational numbers can be added or multiplied in any .
Solution:-
Rational numbers can be added or multiplied in any order.
The reciprocal of -5/7 is .
Solution:-
The reciprocal of -5/7 is -7/5.
The multiplicative inverse of 4/3 is .
Solution:-
The multiplicative inverse of 4/3 is ¾.
The rational number 10.11 in the from p/q is .
Solution:-
The rational number 10.11 in the from p/q is 1011/100.
(1/5) × [(2/7) + (3/8)] = [(1/5) × (2/7)] + .
Solution:-
(1/5) × [(2/7) + (3/8)] = [(1/5) × (2/7)] + [(1/5) × (3/8)]
∵ From the rule of distributive law of multiplication [a × (b + c) = (a × b) + (a × c)]
The two rational numbers lying between –2 and –5 with denominator as 1 are _________ and _________.
Solution:-
The two rational numbers lying between –2 and –5 with denominator as 1 are -3 and -4.
In each of the following, state whether the statements are true (T) or false (F).
If x/y is a rational number, then y is always a whole number.
Solution:-
False.
If x/y is a rational numbers, then y is not equal to 0.
But 0 is a whole number.
If p/q is a rational number, then p cannot be equal to zero.
Solution:-
False.
If p/q is a rational number, p can be equal to zero (0) or any integer.
If r/s is a rational number, then s cannot be equal to zero.
Solution:-
True.