Answer to Question #133438 in Physics for Catherine

Question

Use scientific notation to perform the following compatains
1. 80.000×5.000
2. 0.0006×8.000

Answer 1

1. In scientific notation we have: $80 = 8\times 10^1$ and $5 =5$. Thus:

$$8\times 10^1\cdot 5 = 8\cdot 5\times 10^1 = 40\times 10^1 = 4\times 10^2$$

2. In scientific notation we have: $0.0006=6\times 10^{-4}$ and $8 = 8$. Thus:

$$6\times 10^{-4}\cdot 8 = 6\cdot 8\times 10^{-4} = 48\times 10^{-4} = 4.8\times 10^{-3}$$

Answer. 1) $4\times 10^2$, 2) $4.8\times 10^{-3}$ .