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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?

Answer 1

Leo Abeyta

#5.59*10^7 \ "kg"#

I assume that the original mass is #5.96*10^7 \ "kg"#, and the ice that broke away has a mass of #3.7*10^6 \ "kg"#.

Since mass is conserved, the remaining mass of the other iceberg piece is as follows:

#m=5.96*10^7 \ "kg"-3.7*10^6 \ "kg"#

#=55900000 \ "kg"#

#=5.59*10^7 \ "kg"#

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Answer 2

Benjamin Asiedu

Subtract the mass of the split piece from the initial mass of the iceberg:

(5.96 \times 10^7 , \text{kg} - 3.70 \times 10^6 , \text{kg} = 5.62 \times 10^7 , \text{kg}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.