Question

complete each metric conversion...
.78 kj= ______ j
38.0 sec= ______ msec
.000059 mcal ______ cal

Explanation:

Step1: Recall metric - prefix conversion factors

The prefix 'k' (kilo) means $10^{3}$. To convert from kilojoules (kJ) to joules (J), we multiply by $10^{3}$. So for $0.78\ kJ$, we have $0.78\times10^{3}\ J = 780\ J$.

Step2: Recall metric - prefix conversion factors

The prefix'm' (milli) means $10^{- 3}$. To convert from seconds (sec) to milliseconds (msec), we multiply by $10^{3}$. So for $38.0\ sec$, we have $38.0\times10^{3}\ msec=38000\ msec$.

Step3: Recall metric - prefix conversion factors

The prefix 'M' (mega) means $10^{6}$. To convert from megacalories (Mcal) to calories (cal), we multiply by $10^{6}$. So for $0.000059\ Mcal$, we have $0.000059\times10^{6}\ cal = 59\ cal$.

Answer:

$780$
$38000$
$59$