Question

answer the following
(a) a certain solution has a hydrogen ion concentration of $5.89 \times 10^{-6}$ moles per liter. write this number in standard notation.
(b) a whale shark can weigh up to 47,000 pounds. write this number in scientific notation.
(a) \\(\square\\) moles per l
(b) \\(\square\\) pounds

Explanation:

Part (a)

Step1: Recall scientific to standard notation

To convert \( 5.89 \times 10^{-6} \) to standard notation, we move the decimal point 6 places to the left (because the exponent is -6).
Starting with 5.89, moving the decimal left 6 times: \( 0.00000589 \)

Step1: Recall standard to scientific notation

To convert 47,000 to scientific notation, we write it as a number between 1 and 10 multiplied by a power of 10.
47,000 can be written as \( 4.7 \times 10^{4} \) (since we move the decimal 4 places to the left to get 4.7, so the exponent is 4).

Answer:

\( 0.00000589 \)

Part (b)