Question

part v. express the following in standard (decimal) form.

1. 2.4 x 10³ m =
2. 3.6 x 10⁻⁵ moles =
3. 3.01 x 10⁻⁷ g =
4. 8.2 x 10⁻³ g =

Explanation:

Step1: Multiply for positive exponent

For \(2.4\times10^{3}\), move the decimal 3 places to the right. \(2.4\times10^{3}=2.4\times1000 = 2400\) m.

Step2: Divide for negative exponent

For \(3.6\times 10^{- 5}\), move the decimal 5 places to the left. \(3.6\times10^{-5}=\frac{3.6}{10^{5}}=0.000036\) moles.

Step3: Divide for negative exponent

For \(3.01\times 10^{-7}\), move the decimal 7 places to the left. \(3.01\times10^{-7}=\frac{3.01}{10^{7}} = 0.000000301\) g.

Step4: Divide for negative exponent

For \(8.2\times 10^{-3}\), move the decimal 3 places to the left. \(8.2\times10^{-3}=\frac{8.2}{10^{3}}=0.0082\) g.

Answer:

1. \(2400\) m
2. \(0.000036\) moles
3. \(0.000000301\) g
4. \(0.0082\) g