## Chemistry (7th Edition)

(a) $6.02 \times 10^1$ $km$ is larger. (b) $46\ µs$ is larger. (c) $200,098\ g$ is larger.
(a) Convert all the values for "meters" 1 $cm$ = $10^{-2}$ $m$ : $5.63 \times 10^6$ $cm = 5.63\times 10^6 \times (10^{-2})$ $m$ $5.63 \times 10^4$ $m$ 1 $km$ = $10^3$ $m$ $6.02 \times 10^1$ $km = 6.02 \times 10^1$ $\times 10^3$ $m$ $6.02 \times 10^4$ $m$ - Now, compare the measures. $6.02 \times 10^4$ $m$ $> 5.63 \times 10^4$ $m$ So, $6.02 \times 10^1$ $km$ is larger. (b) Convert all the measurements for "seconds": $46µs \times \frac{10^{-6} s}{1µs} = 4.6 \times 10^{-5}s$ $3.2 \times 10^{-2} ms \times \frac{10^{-3}s}{1 ms} = 3.2 \times 10^{-5} s$ $4.6 \times 10^{-5}s > 3.2 \times 10^{-5}s$ So, $46\ µs$ is larger. (c) Convert all the measurements for "grams": $200,098 g = 2.00098 \times 10^{5} g$ $17 \times 10^1kg \times \frac{10^{3}g}{1 kg} = 1.7 \times 10^5g$ $2.00098g \times 10^{5}g > 1.7 \times 10^{5}g$ So, $200,098g$ is larger.