Question

in standard notation.

1. 5.37×10⁻⁴ =
2. 7.259×10⁵ =
3. 5.14×10⁻³ =
4. 3.63×10⁴ =
5. 5,800,000 =
6. 0.0008 =
7. 181,000,000 =

Explanation:

Step1: Recall scientific - notation rules

To convert from scientific notation \(a\times10^{n}\) to standard notation: if \(n>0\), move the decimal point \(n\) places to the right; if \(n < 0\), move the decimal point \(|n|\) places to the left.

Step2: Convert \(5.37\times 10^{-4}\)

Since \(n=-4\), move the decimal point 4 places to the left. So \(5.37\times 10^{-4}=0.000537\).

Step3: Convert \(7.259\times 10^{5}\)

Since \(n = 5\), move the decimal point 5 places to the right. So \(7.259\times 10^{5}=725900\).

Step4: Convert \(5.14\times 10^{-3}\)

Since \(n=-3\), move the decimal point 3 places to the left. So \(5.14\times 10^{-3}=0.00514\).

Step5: Convert \(3.63\times 10^{4}\)

Since \(n = 4\), move the decimal point 4 places to the right. So \(3.63\times 10^{4}=36300\).

Answer:

1. \(5.37\times 10^{-4}=0.000537\)
2. \(7.259\times 10^{5}=725900\)
3. \(5.14\times 10^{-3}=0.00514\)
4. \(3.63\times 10^{4}=36300\)