Rational Numbers

Represent 3/2 and (-3)/4 on number lines.

During a festival sale, the cost of an object is ₹ 870 on which 20% is off. The same object is available at other shops for ₹ 975 with a discount of 20/3%. Which is a better deal and by how much?

Reduce the following rational numbers in standard form.

(i) 35/(-15)

(ii) (-36)/(-216)

Subtract:

(i) -5/6 from -7/8 

(ii) 2 1/5 from -3 1/6

Find the product:

(i) 20/3×(-81/16)

(ii)(-13/4)×(-11/4)

Which of the following rational numbers is greater?

(i) 3/4, 1/2

(ii) -3/2,  (-3)/4

Arrange the following rational numbers in ascending order.

(i) -1/3,  (-4)/3,  (-2)/9

(ii) -2/3, 4/5, 6/7, -1/6

2.3 - [1.89 - {3.6 - (2.7 -  (0.8-0.03) ̅)}]

Evaluate the following:

(-12)/(-5)+7/(-3)+(-5)/14+22/7

Simplify:

21.5 ÷ 5 -1/5 of (20.5 - 5.5)+ 0.5 × 8.5

Find three rational numbers equivalent to each of the following rational numbers.

(i) (-2)/5

(ii) 3/7

If the product of two rational numbers is (-9)/16 and one of them is (-4)/15, find the other number.

If x = -4/9, y = 5/12 and z = 7/18, find the value of

x ÷ y − [ (1 / xy) − y ( (2x / y) ÷ (x / 2y) ) − xyz ( (1 / x) + (1 / y) + (1 / z) ) ].

Subtract the sum of (-5)/6 and -8/5 from the sum 8/3 and -6 2/5.

Insert five rational numbers between:

(i) (-2)/3 and -1

(ii) -1/2 and (-3)/2

Divide the sum of -2 15/17 and 3 5/34 by their difference.

Simplify: (3/7×(-5)/8)÷(1/3×5/6)+|(-1)/2-1/5|

Simplify:

21.5 ÷ 5 -1/5 of (20.5 - 5.5)+ 0.5 × 8.5