Question

(-26/9) ___ -2.75which symbol belongs in the blank? <, =

Answer 1

When evaluating negative numbers the farther they are from zero the lesser they are. In this case we have -26/9 and -2.75 we need to first convert the fraction to a decimal in order to compare them

`(-26)/(9)=-2.888\ldots`

The value of -28/9 is equal to -2.888... This is farther from zero than -2.75, therefore:

`-(26)/(9)<-2.75`

The signal that belongs to the blank is "<".