Question 1 :
Fill in the blanks:
(i) −19/5 lies between the integers __________ and __________.
Solution :
The decimal value of -19/5 is -3.8
In number line -3.8 lies between -4 and -3
−19/5 lies between the integers -4 and -3
(ii) The rational number that is represented by 0.44 is __________.
Solution :
In order to convert 0.44 as rational number, we have to multiply both numerator and denominator by 100.
0.44 x (100/100) = 44/100
By reducing the fraction 44/100, we get
= 11/25
(iii) The standard form of + 58/(-78) is _________
Solution :
By simplifying 58/(-78), we get
= -29/39
(iv) The value of (-5/12) + (7/15) =
Solution :
L.C.M of (12, 15) = 60
= [-5(5) + 7(4)]/60
= (-25 + 28)/60
= 3/60
= 1/20
(v) The value of
is
Solution :
= (-15/23) x (-46/30)
By canceling 23 and 46, we get 2. In the same way by cancelling 15 and 30, we get 2.
= 1
Question 2 :
Say True or False:
(i) 0 is the smallest rational number.
Solution :
Any number which is in the form of p / q , where p, q are integers and q ≠ 0 are called Rational numbers.
Q = { p / q : p , q ∊ Z , q ≠ 0 }
According to the definition there are infinite numbers less than ' 0 ' and greater than ' 0 '. Hence, the given statement is False.
(ii) There are an unlimited number of rational numbers between 0 and 1.
Solution :
Some numbers between 0 and 1 are 0.1, ............, 0.11, ...........
Hence the there are infinite numbers of rational numbers between 0 and 1. Hence the given statement is true.
(iii) The rational number which does not have a reciprocal is 0.
Solution :
The reciprocal of 0 is 1/0.
1/0 = undefined
Hence 0, does not have reciprocal.
(iv) The only rational number which is its own reciprocal is –1.
Solution :
Reciprocal of -1 is 1/(-1)
= -1
Hence -1 is reciprocal of -1.
(v) The rational numbers that are equal to their additive inverses are 0 and–1.
The additive inverse of 0 is 0 and additive inverse of -1 is 1.
Hence the given statement is false.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Apr 25, 24 07:03 PM
Apr 23, 24 09:10 PM
Apr 23, 24 12:32 PM