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)
Responses

6.2×10−3<0 and 6.2×10−3<1
6.2×10−3<0 and 6.2×10−3<1

0<6.2×10−3<1
0<6.2×10−3<1

6.2×10−3>0 and 6.2×10−3>1
6.2×10−3>0 and 6.2×10−3>1

6.2×10−3<0 and 6.2×10−3>1

Answer 1

To compare the values \(6.2 \times 10^{-3}\), 0, and 1, we first need to convert \(6.2 \times 10^{-3}\) into a decimal form:

\[ 6.2 \times 10^{-3} = 0.0062 \]

Now, we can compare the numbers:

• \(0.0062\) is greater than \(0\) because \(0.0062\) is a positive number.
• \(0.0062\) is less than \(1\) because \(0.0062\) is significantly smaller than \(1\).

Thus, we can represent the comparisons as:

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

So, the correct response is:

0 < 6.2×10−3 < 1.

To visualize this on a number line, you can imagine a line where \(0\) is to the left, \(6.2 \times 10^{-3} (or 0.0062)\) is very close to \(0\), and \(1\) is to the right, as shown below:

|---|---|---|---|---|---|---|---|---|---|---| 
0   0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9  1
       ^
       0.0062

This clearly indicates \(0 < 0.0062 < 1\).