Chapter 8: Rational Numbers

Solution:-

-16/24 and 20/-16 represent different rational numbers.

So, HCF of -16/24 is 4

Then divide both numerator and denominator by 4.

= -4/6

HCF of 20/-16 is 1

Therefore, -16/24 and 20/-16 represent different rational numbers.

Solution:-

-27/45 and -3/5 represent same rational numbers.

So, HCF of -27/45 is 9

Divide both numerator and denominator by 9.

= -3/5

Then, HCF of -3/5 is 1

Therefore, -27/45 and -3/5 represent same rational numbers.

Solution:-

Additive inverse of 2/3 is -2/3.

Solution:-

(-3/5) + (2/5) = -1/5.

= (-3/5) + (2/5)

= (-3 + 2)/5

= -1/5

Solution:-

(-5/6) + (-1/6) = -1.

= (-5/6) – (1/6)

= (-5 – 1)/6

= -6/6

= -1

Solution:-

(3/4) × (-2/3) = -1/2.

= (3 × -2)/ (4 × 3)

= (1 × -1)/ (2 × 1)

= -½

Solution:-

(-5/3) × (-3/5) = 1.

= (-5 × -3)/ (3 × 5)

= (-1 × -1)/ (1 × 1)

= 1

Solution:-

(-6/7) = (-36/42)

Let us assume the missing letter be x.

(-6/7) = (x/42)

(-6/7) × 42 = x

(-6 × 6) = x

x = – 36

Solution:-

(1/2) = (6/12)

Let us assume the missing letter be x.

(1/2) = (6/x)

(2/1) × 6 = x

x = 12

Solution:-

(-2/9) – (7/9) = -1

= (-2 – 7)/9

= -9/9

= -1

In questions 31 to 35, fill in the boxes with the correct symbol >, < or =.