Question

Which symbol would you use to correctly compare? Draw a numberline to help you.

6.2×10
−3
and 0 and 1
(1 point)

$0 < 6.2 \times 10^{-3} < 1$

$6.2 \times 10^{-3} < 0$ and $6.2 \times 10^{-3} < 1$

$6.2 \times 10^{-3} < 0$ and $6.2 \times 10^{-3} > 1$

$6.2 \times 10^{-3} > 0$ and $6.2 \times 10^{-3} > 1$

Answer 1

To compare \(6.2 \times 10^{-3}\) with 0 and 1, let's first evaluate \(6.2 \times 10^{-3}\).

Calculating \(6.2 \times 10^{-3}\):
\[
6.2 \times 10^{-3} = 6.2 \div 1000 = 0.0062
\]

Now, we can compare \(0.0062\) with 0 and 1:
- Clearly, \(0.0062 > 0\) (since it is a positive number).
- Also, \(0.0062 < 1\) (since it is much less than 1).

So we can summarize the comparisons as:
\[
0 < 6.2 \times 10^{-3} < 1
\]

This makes the first option the correct one.

To visualize this on a number line, you can draw a number line that includes points for 0, 0.0062, and 1:

```
|------|---------|---------|---------|---------|
0 0.002 0.004 0.006 0.008 1
^
6.2 x 10^(-3) (0.0062)
```

So the correct comparison is:
\(0 < 6.2 \times 10^{-3} < 1\)