Question

1. 0.00064
2. 63,000
3. 0.00945

b) express each number in s

1. 8.6×10³ =
2. 9.4×10⁻³ =
3. 8.806×10⁴ =
4. 2.8×10⁻⁶ =

Explanation:

Step1: Recall scientific - notation rules

For a number in scientific - notation \(a\times10^{n}\), if \(n>0\), we move the decimal point \(n\) places to the right; if \(n < 0\), we move the decimal point \(|n|\) places to the left.

Step2: Solve for \(8.6\times10^{3}\)

Since \(n = 3>0\), move the decimal point 3 places to the right. \(8.6\times10^{3}=8600\).

Step3: Solve for \(9.4\times10^{-3}\)

Since \(n=-3 < 0\), move the decimal point 3 places to the left. \(9.4\times10^{-3}=0.0094\).

Step4: Solve for \(8.806\times10^{4}\)

Since \(n = 4>0\), move the decimal point 4 places to the right. \(8.806\times10^{4}=88060\).

Step5: Solve for \(2.8\times10^{-6}\)

Since \(n=-6 < 0\), move the decimal point 6 places to the left. \(2.8\times10^{-6}=0.0000028\).

Answer:

1. \(8600\)
2. \(0.0094\)
3. \(88060\)
4. \(0.0000028\)