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

Question

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: \(0 < 6.2 \times 10^{-3} < 1\)