The rational numbers can be represented on the number line.
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Solution:-
True.
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The rational numbers can be represented on the number line.
Solution:-
True.
The negative of a negative rational number is a positive rational number.
Solution:-
True.
Example, let us take -½ is a negative rational number.
Then negative of negative rational number = – (-½)
= ½ (positive rational number)
If x and y are two rational numbers such that x > y, then x – y is always a positive rational number.
Solution:-
True.
Let x = 4, y = 2
Then,
= x – y
= 4 – 2
= 2
0 is the smallest rational number
Solution:-
False.
Negative rational number below 0 is infinite. So, the smallest rational number does not exist.
Every whole number is an integer.
Solution:-
True.
Every whole number is an integer but, every integer is not whole number.
Every whole number is a rational number.
Solution:-
True.
0 is whole number but it is not a rational number.
Solution:-
False.
0 is whole number and also a rational number.
The rational numbers ½ and -5/2 are on the opposite sides of 0 on the number line.
Solution:-
True.
½ is positive rational number so it is lies to the right side of 0 on the number line.
-5/2 is negative rational number so it is lies to the left side of 0 on the number line.
Rational numbers can be added (or multiplied) in any order
(-4/5) × (-6/5) = (-6/5) × (-4/5)
Solution:-
True.
The arrangements of given rational number is as per the commutative law under multiplication. i.e. a × b = b × c
Solve the following: Select the rational numbers from the list which are also the integers.
9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, -1/1, -2/1, -3/2, -4/2, -5/2, -6/2
Solution:-
The rational number from the given list which also the integers are,
8/4 = 2, 9/3 = 3, 6/3 = 2, 4/2 = 2, 3/1 = 3, 1/1 = 1, 0/1 = 0, -1/1 = -1, -2/1 = -2, -4/2 = -2, -6/2 = -3