Question

2 a carton holds 1.248 liters of fruit juice. what is this amount rounded to the nearest tenth?
use the number line below.
show your work.

which digits do i need to look at?
which digits can i ignore?

1.2
1.25
1.3

solution:

Explanation:

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<reasoning>

Identify the given value and target place

The given value is \(1.248\) liters. We need to round this value to the nearest tenth.

Locate the value on the number line

The number line has tick marks from \(1.2\) to \(1.3\) with a midpoint labeled at \(1.25\).
Each tick mark represents an interval of \(0.01\):
\[
1.20, 1.21, 1.22, 1.23, 1.24, 1.25, 1.26, 1.27, 1.28, 1.29, 1.30
\]
The value \(1.248\) lies between \(1.24\) and \(1.25\), which is to the left of the midpoint \(1.25\).

Round to the nearest tenth

Since \(1.248 < 1.25\), the value is closer to \(1.2\) than to \(1.3\).
Looking at the hundredths digit of \(1.248\), which is \(4\):
Since \(4 < 5\), we round down to the nearest tenth:
\[
1.248 \approx 1.2
\]
</reasoning>

<answer>
A carton holds 1.248 liters of fruit juice. What is this amount rounded to the nearest tenth? Use the number line below.

Show your work.

Solution: <blank>1.2</blank> liters
</answer>

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"Mathematics",
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Answer:

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</pre_analysis>

<reasoning>

Identify the given value and target place

The given value is \(1.248\) liters. We need to round this value to the nearest tenth.

Locate the value on the number line

The number line has tick marks from \(1.2\) to \(1.3\) with a midpoint labeled at \(1.25\).
Each tick mark represents an interval of \(0.01\):
\[
1.20, 1.21, 1.22, 1.23, 1.24, 1.25, 1.26, 1.27, 1.28, 1.29, 1.30
\]
The value \(1.248\) lies between \(1.24\) and \(1.25\), which is to the left of the midpoint \(1.25\).

Round to the nearest tenth

Since \(1.248 < 1.25\), the value is closer to \(1.2\) than to \(1.3\).
Looking at the hundredths digit of \(1.248\), which is \(4\):
Since \(4 < 5\), we round down to the nearest tenth:
\[
1.248 \approx 1.2
\]
</reasoning>

<answer>
A carton holds 1.248 liters of fruit juice. What is this amount rounded to the nearest tenth? Use the number line below.

Show your work.

Solution: <blank>1.2</blank> liters
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
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