1. To write \(0.000456\) in scientific notation, you move the decimal point 4 places to the right, which gives you \(4.56\). Therefore, in scientific notation, it is \(4.56 \times 10^{-4}\).
2. To write \(0.0078125\) in scientific notation, you move the decimal point 3 places to the right, which gives you \(7.8125\). Thus, in scientific notation, it is \(7.8125 \times 10^{-3}\).
3. The number \(5.1 \times 10^7\) written in decimal notation is \(51,000,000\).
4. The number \(6.3 \times 10^{-4}\) written in decimal notation is \(0.00063\).
5. The average length of the wasp's stinger, \(2.67 \times 10^{-3}\) meters, written in decimal notation is \(0.00267\).