Question

round 0.446 kilometer to the nearest tenth by following these steps:
a. complete the marking of the number line to show hundredths.
b. label 0.446 on the number line.
c. determine whether 0.446 is closer to 0.4 or 0.5. if the hundredths digit in 0.446 is 5 or greater, round up. if the hundredths digit in 0.446 is less than 5, round down. what is 0.446 kilometer rounded to the nearest tenth?

Answer:

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<reasoning>

Orient the upside-down image

The image is upside down. Let us read the text by rotating it 180 degrees:

• Main prompt: "Round 0.446 kilometer to the nearest tenth by following these steps:"
• Number line markings from left to right (when rotated): \(0.40\), then 5 subdivisions, then \(0.45\), then 5 subdivisions, then \(0.50\).
• Question a: "Complete the marking of the number line to show hundredths."
• Question b: "Label 0.446 on the number line."
• Question c: "Determine whether 0.446 is closer to 0.4 or 0.5. If the hundredths digit in 0.446 is 5 or greater, round up. If the hundredths digit in 0.446 is less than 5, round down. What is 0.446 kilometer rounded to the nearest tenth?"

Complete the number line markings

The major intervals are \(0.40\), \(0.45\), and \(0.50\).
There are 5 subdivisions between \(0.40\) and \(0.45\), meaning each tick mark represents \(0.01\) (one hundredth).

• The tick marks between \(0.40\) and \(0.45\) are: \(0.41\), \(0.42\), \(0.43\), \(0.44\).
• The tick marks between \(0.45\) and \(0.50\) are: \(0.46\), \(0.47\), \(0.48\), \(0.49\).

Locate and round the decimal

• To label \(0.446\): it lies between \(0.44\) and \(0.45\), slightly more than halfway (\(0.446\)) towards \(0.45\).
• For rounding:
• \(0.446\) is between \(0.4\) and \(0.5\).
• The midpoint is \(0.45\). Since \(0.446 < 0.45\), it is closer to \(0.4\).
• The hundredths digit of \(0.446\) is \(4\). Since \(4 < 5\), we round down to \(0.4\).

</reasoning>

<answer>

Question a

The missing tick marks from left to right are:
\[
0.41, 0.42, 0.43, 0.44, 0.46, 0.47, 0.48, 0.49
\]

Question b

The value \(0.446\) is located between \(0.44\) and \(0.45\), just past the midpoint of that interval.

Question c

\(0.446\) is closer to \(0.4\). Since the hundredths digit (\(4\)) is less than \(5\), we round down.
\(0.446\) kilometer rounded to the nearest tenth is <blank>\(0.4\)</blank> kilometer.
</answer>

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{
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"size": 4,
"color": "#F2557F",
"withLabel": true,
"labelPosition": [0.446, 0.5]
}
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</plot>

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