Question

Proof that 0.99999............ and 1 is equal

Answer 1

Answer:

Hey mate!

Step-by-step explanation:

Although in real number, it is difficult to say that 0.9 and 1 are equal. However

in some conditions, while taking Significant figures we can simply reduce 0.99 to 1

Answer 2

Step-by-step explanation:

Let us assume x = 0.99999... - Eq(1)

Multiplying Eq(1) with 10, we get

10x = 9.99999.... -Eq(2)

Multiplying Eq(2) with 10, we get

100x = 99.99999... -Eq(3)

Subtracting Eq(1) from Eq(3) we get

100x - x = 99.99999 - 0.99999

99x = 99.0

x = $\dfrac{99}{99}$

x = 1

we know that x = 0.99999

0.99999 = 1 (Hence Proved)