Proof that 0.99999............ and 1 is equal
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Answered by
6
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
Answered by
234
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 =
x = 1
we know that x = 0.99999
0.99999 = 1 (Hence Proved)
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