O Exponents
Converting between scientific notation and standard form in a real-worid...

Answer the following.
(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation.
(b) A whale shark can weigh up to $4.7\times {10}^4$ pounds. Write this number in standard notation.
(a) II moles per liter
(b) $◻$ pounds

Step 1 ：For part (a), we need to convert the given number into scientific notation. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers. The format for writing a number in scientific notation is a x 10^n, where 1 ≤ a < 10 and n represents the number of decimal places the decimal needs to move. In this case, the number 0.00000896 needs to be converted to scientific notation.

Step 2 ：For part (b), we need to convert the given number from scientific notation to standard notation. Standard notation is the regular way of writing numbers. In this case, the number $4.7\times {10}^4$ needs to be converted to standard notation.

Step 3 ：The number 0.00000896 has been converted into scientific notation as 8.96e-06.

Step 4 ：The number $4.7\times {10}^4$ has been converted into standard notation as 47000.

Step 5 ：Final Answer: \n(a) The hydrogen ion concentration of 0.00000896 moles per liter in scientific notation is $\boxed{{\displaystyle 8.96\times {10}^{-6}}}$ moles per liter.\n(b) The weight of a whale shark, which can be up to $4.7\times {10}^4$ pounds, in standard notation is $\boxed{{\displaystyle 47000}}$ pounds.