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<16.2×10−3<0 and 6.2×10−3<1

6.2×10−3<0 and 6.2×10−3>16.2×10−3<0 and 6.2×10−3>1

0<6.2×10−3<10<6.2×10−3<1

6.2×10−3>0 and 6.2×10−3>16.2×10−3>0 and 6.2×10−3>1
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Answer 1

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

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

Next, we can compare the three values:

• \(0.0062\)
• \(0\)
• \(1\)

On a number line, we can visualize the three values:

<- - - - - - - - - - - - - - - - - - - - - - - - - -  -> 
      0           0.0062                    1

From the number line, we can see:

• \(0 < 0.0062\)
• \(0.0062 < 1\)

Thus, we can conclude that: \[ 0 < 6.2 \times 10^{-3} < 1 \]

Looking at the options provided:

• The correct response is: \(0 < 6.2 \times 10^{-3} < 1\)

So, the answer is: 0 < 6.2×10−3 < 1.