Question

The sum of 0.3 and 0.4 is 0.7 bar

Answer 1

Proof:

• Let us rationalise the value of 0.3 bar

Let, x = 0.3 bar = 0.333...

Then 10x = 3.333...

So 10x - x = 3.333... - 0.333...

or, 9x = 3

or, x = 3 / 9

or, x = 1/3

i.e., 0.3 bar = 1/3

• Let us rationalise the value of 0.4 bar

Let y = 0.4 bar = 0.444...

Then 10y = 4.444...

So 10y - y = 4.444... - 0.444...

or, 9y = 4

or, y = 4/9

i.e., 0.4 bar = 4/9

Now, L.H.S. = 0.3 bar + 0.4 bar

= 1/3 + 4/9

= (3 + 4)/9

= 7/9

= 0.777...

= 0.7 bar = R.H.S.

Hence, proved.

Answer 2

Step-by-step explanation:

if 1 angle is less than 30degree of its compliment