Question

answer the following.
(a) a certain solution has a hydrogen ion concentration of 0.0000354 moles per liter. write this number in scientific notation.
(b) a hippopotamus can weigh up to $9.9 \times 10^{3}$ pounds. write this number in standard notation.
(a) \\(\square\\) moles per l
(b) \\(\square\\) pounds

Explanation:

Part (a)

Step1: Identify the first non - zero digit

In the number \(0.0000354\), the first non - zero digit is \(3\).

Step2: Move the decimal point

We move the decimal point to the right of the first non - zero digit. We need to move the decimal point \(5\) places to the right to get from \(0.0000354\) to \(3.54\). Since we moved the decimal point to the right, the exponent of \(10\) will be negative. The number of places we moved the decimal point is \(5\), so the scientific notation is \(3.54\times10^{- 5}\).

Part (b)

Step1: Recall the meaning of \(10^{3}\)

\(10^{3}=10\times10\times10 = 1000\).

Step2: Multiply by the coefficient

We have \(9.9\times10^{3}\), so we multiply \(9.9\) by \(1000\). \(9.9\times1000=9900\).

Answer:

(a) \(\boldsymbol{3.54\times10^{-5}}\) moles per L
(b) \(\boldsymbol{9900}\) pounds