Answer
(a) $0.556$
(b) $0.555$
Work Step by Step
RECALL:
(1) To round-off a number, check the digit immediately to the right of the round-off place. If the digit is 5 or higher, round up the value, otherwise, retain the value.
Examples:
Round-off to two decimal places:
$23.546 \longrightarrow 23.55
\\23.544 \longrightarrow 23.54$
(2) To truncate a number, drop all digits to the right of the specific truncation place.
Examples:
Truncate to two decimal places:
$23.546 \longrightarrow 23.54
\\23.544 \longrightarrow 23.54$
Thus, for the given number:
First, convert the fraction to a decimal using a calculator to obtain:
$\dfrac{5}{9} = 0.555....$
(a) Rounded-off to three decimal places:
$0.55\underline{5}\color{red}{5}5555556 \longrightarrow 0.556$
(b) Truncated to three decimal places:
$0.55\underline{5}\color{red}{555556} \longrightarrow 0.555$