It's a basic question. Let's see how much you know

Algebra Level pending

What is the value of {-0.9} , where {.} is fractional part function?

Ps: Use Graham et al. definition. Ah! Why do we have two rules?

1 solution

Sachin Vishwakarma
Oct 20, 2015

{-0.9} = -0.9 - [-0.9] = -0.9 + 1 = 0.1

The fractional part function is defined as follows

$\left\{ x \right\} =x-\left[ x \right]$

where $\left[x\right]$ is the integer part. In this case, it should have worked out as follows

$\left\{ -0.9 \right\} =-0.9-\left[ -0.9 \right] =-0.9-0=-0.9$

Look it up.

Michael Mendrin - 5 years, 7 months ago

See graph of fractional part function.

Sachin Vishwakarma - 5 years, 7 months ago

Or use property {-x} = 1- {x}

Sachin Vishwakarma - 5 years, 7 months ago

Do you remember that fractional part function gives value greater than or equal to 0 and less than 1?

Sachin Vishwakarma - 5 years, 7 months ago