Question

51,000 g = ___ mg
.95 km = ___ cm
1.3×10⁷ μm ___ m

Explanation:

Step1: Recall length - unit conversion factors

We know that $1\ km = 1000\ m$ and $1\ m=100\ cm$, so $1\ km = 1000\times100\ cm= 10^{5}\ cm$.

Step2: Convert $0.95\ km$ to $cm$

Multiply $0.95$ by the conversion factor. $0.95\ km=0.95\times10^{5}\ cm = 95000\ cm$.

Step3: Recall length - unit conversion for micrometers to meters

We know that $1\ \mu m=10^{- 6}\ m$.

Step4: Convert $1.3\times10^{7}\ \mu m$ to $m$

Multiply $1.3\times10^{7}$ by $10^{-6}$. Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we have $(1.3\times10^{7})\times10^{-6}=1.3\times10^{7+( - 6)}=13\ m$.

Answer:

$95000$; $13$