**Operations on Rational Numbers Worksheet for Grade 8 :**

Here we are going to see some practice questions on operations on rational numbers.

(1) Fill in the blanks:

(i) −19/5 lies between the integers __________ and __________.

(ii) The rational number that is represented by 0.44 is __________.

(iii) The standard form of + 58/(-78) is _________

(iv) The value of (-5/12) + (7/15) =

(v) The value of

is Solution

(2) Say True or False:

(i) 0 is the smallest rational number.

(ii) There are an unlimited number of rational numbers between 0 and 1.

(iii) The rational number which does not have a reciprocal is 0.

(iv) The only rational number which is its own reciprocal is –1.

(v) The rational numbers that are equal to their additive inverses are 0 and–1. Solution

(3) List five rational numbers between

(i) –2 and 0

(ii) -1/2 and 3/5

(iii) 0.25 and 0.35

(iv) –1.2 and -2.3 Solution

(4) Write four rational numbers equivalent to

(i) −3/5 (ii) -7/6 (iii) 8/9

(5) Draw the number line and represent the following rational numbers on it

(i) 9/4 (ii) -8/3 (iii) -17/(-5) (iv) -15/4

Find the rational numbers for the question marks marked on the number line.

(i)

(ii)

(iii)

(7) Using average, write 3 rational numbers between (14/5) and (16/3) Solution

(8) Verify that −(−x) is the same x for:

(i) x = 11/15

(ii) x = -31/45 Solution

(8) Re-arrange suitably and add :

(9) What should be added to -8/9 to get 2/5 ? Solution

(10) Subtract -8/44 from -17/11 Solution

(11) Evaluate:

(i) (9/2) x (-11/3)

(ii) (-7/27) x (24/(-35))

(12) Divide

(i) (-21/5) by (-7/-10)

(ii) (-3/13) by (-3)

(iii) -2 by -6/15

(13) Simplify (2/5 + 3/2) ÷ (3/10) as a rational number and show that it is between 6 and 7. Solution

(14) Write five rational numbers which are less than –2.

(15) Compare the following pairs of rational numbers.

(i) −11/5, -21/8

(ii) 3/(-4) , -1/2

(iii) 2/3, 4/5 Solution

(16) Arrange the following rational numbers in ascending and descending order.

(i) -5/12, -11/8, -15/24, -7/(-9), 12/36

(ii) -17/10, -7/5, 0, -2/4, -19/20

After having gone through the stuff given above, we hope that the students would have understood, "Operations on Rational Numbers Worksheet for Grade 8"

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