If the concentration of a salt solution is given as 0.7243 grams per liter, how can it also be expressed?

To express 0.7243 grams per liter in scientific notation, you want to convert the number into a format that includes a coefficient between 1 and 10 multiplied by a power of ten.

In this case, 0.7243 can be rewritten as 7.243, which is now between 1 and 10. To adjust for this change in scale, you need to recognize that moving the decimal place one position to the right (from 0.7243 to 7.243) reduces the power of ten by one. Hence, moving the decimal one place to the right gives you:

( 0.7243 = 7.243 \times 10^{-1} )

However, if we want it in the format where the power of ten is expressed as an exponent of 2, we could consider multiplying the coefficient by 10 squared while appropriately adjusting the exponent. This leads us to:

( 7.243 \times 10^{-1} = 72.43 \times 10^{-2} )

This showcases how 0.7243 grams per liter can be represented as 72.43 X 10^-2 grams per liter, confirming the correctness of this choice as