A typical snake bite delivers 0.0045 grams of venom. Maria and Tammy were asked to write this number in scientific notation. The
ir answers are shown below. Which student is correct? Explain how you determined your answer.
1 answer:
Answer:
Maria
Step-by-step explanation:
A typical snake bite delivers 0.0045 grams of venom.
Maria wrote it in scientific notation as ![4.5\times 10^{-3}](https://tex.z-dn.net/?f=4.5%5Ctimes%2010%5E%7B-3%7D)
Tammy wrote it in scientific notation as ![4.5\times 10^{3}](https://tex.z-dn.net/?f=4.5%5Ctimes%2010%5E%7B3%7D)
Any number can be written in the form of scientific notation as follows :
(a is real no and b is integer)
The given no is 0.0045.
There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.
![0.0045=\dfrac{45}{10000}\\\\=\dfrac{45}{10}\times \dfrac{1}{1000}\\\\=4.5\times 10^{-3}](https://tex.z-dn.net/?f=0.0045%3D%5Cdfrac%7B45%7D%7B10000%7D%5C%5C%5C%5C%3D%5Cdfrac%7B45%7D%7B10%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B1000%7D%5C%5C%5C%5C%3D4.5%5Ctimes%2010%5E%7B-3%7D)
Hence, Maria is correct.
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