Question

Which of the following values are between 5 * 10 ^ - 4 and 2 * 10 ^ - 3 ? Choose ALL that apply.
4 * 10 ^ - 4
X
7 * 10 ^ - 4
9 * 10 ^ - 4
1 * 10 ^ - 3
3 * 10 ^ - 3
5 * 10 ^ - 3

Answer 1

First convert the bounds to decimals: 5×10^-4 = 0.0005 and 2×10^-3 = 0.002.

Now convert each choice:
- 4×10^-4 = 0.0004 → too small
- 7×10^-4 = 0.0007 → between
- 9×10^-4 = 0.0009 → between
- 1×10^-3 = 0.001 → between
- 3×10^-3 = 0.003 → too large
- 5×10^-3 = 0.005 → too large

So the ones that apply are: 7×10^-4, 9×10^-4, and 1×10^-3.