# A 3.70×106 kg piece splits off an iceberg of mass of 5.96×107 kg. How do you calculate the mass of the remaining iceberg and express the answer in scientific notation?

Jun 3, 2018

$5.59 \cdot {10}^{7} \setminus \text{kg}$

#### Explanation:

I assume that the original mass is $5.96 \cdot {10}^{7} \setminus \text{kg}$, and the ice that broke away has a mass of $3.7 \cdot {10}^{6} \setminus \text{kg}$.

Well, mass is conserved, and so the remaining mass of the other piece of the iceberg is:

$m = 5.96 \cdot {10}^{7} \setminus \text{kg"-3.7*10^6 \ "kg}$

$= 55900000 \setminus \text{kg}$

$= 5.59 \cdot {10}^{7} \setminus \text{kg}$