1.1 Scientific notationIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 1.1 Scientific notation

1. The mass of the Earth is $5.97\times10^{24}$ kg and the mass of the Moon is $7.35\times10^{22}$ kg.
   Write down the mass of the Earth in grams, in the form $a\times10^{k}$ where $1\le a<10$.2 marks
2. A red blood cell has a diameter of $7.5\times10^{-6}$ m. An adult body contains approximately $2.4\times10^{13}$ red blood cells.
   Find the number of red blood cells needed to make a line of length 1 m. Give your answer in the form $a\times10^{k}$ where $1\le a<10$, correct to 3 significant figures.2 marks
3. Light travels at $3.00\times10^{8}$ m s$^{-1}$. The star Proxima Centauri is approximately $4.0\times10^{16}$ m from the Sun.
   Find the time, in days, that light takes to travel from Proxima Centauri to the Sun. Give your answer in the form $a\times10^{k}$, where $1\le a<10$, correct to 3 significant figures. (There are $8.64\times10^{4}$ seconds in one day.)3 marks