Rounding!

Number Theory Level 2

0.4 99... ‾ \huge 0.4\overline{99...}

Round the above number to the nearest integer.

Clarification:

For numbers ending with digits less than 5, you round down. For numbers ending in 5 or greater, you must round up.

1 0

Sharky Kesa by Sharky Kesa , 19, United Kingdom

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1 solution

0.4 9 ‾ = 0.4 + 0.0 9 ‾ = 0.4 + 0.1 = 0.5 0.4 \overline{9}=0.4+0.0 \overline{9}=0.4+0.1=0.5 .

The nearest integer to 0.5 0.5 is 1 1 .

6 Helpful 0 Interesting 0 Brilliant 0 Confused

Let x=0.499999..... then 1-x = 1-(0.499999.... ) implies {1-x= 0.500000...1} implies [1-x= 1] results in x=0 as answer.

RAJ RAJPUT - 5 years ago

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