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3 complete the table to compare 4.77 to nearby tenths. to the nearest t…

Question

3 complete the table to compare 4.77 to nearby tenths.
to the nearest tenth, 4.77 rounds to \underline{\quad\quad\quad}.

4 one gallon is equal to about 3.785 liters. what is this amount rounded to the nearest tenth?
show your work.

solution: \underline{\quad\quad\quad}.

Explanation:

Response

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"skills_matched": [
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"needs_drawing": false,
"concepts_used": [
"Decimal Place Value",
"Rounding Decimals"
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"new_concepts": [
"Rounding to Nearest Tenth"
],
"current_concepts": [
"Decimal Place Value",
"Rounding Decimals",
"Rounding to Nearest Tenth"
]
}
</pre_analysis>

<reasoning>

Complete the place value table

Using the Decimal Place Value knowledge point
\[

$$\begin{array}{c|c|c|c} \text{Ones} & \mathbf{.} & \text{Tenths} & \text{Hundredths} \\ \hline 4 & . & 7 & 0 \\ \hline 4 & . & 7 & 7 \\ \hline 4 & . & 8 & 0 \\ \hline \end{array}$$

\]

Round 4.77 to the nearest tenth

Using the Rounding Decimals knowledge point
\[

$$\begin{aligned} &\text{Target digit (tenths): } 7\\ &\text{Deciding digit (hundredths): } 7 \ge 5\\ &4.77 \approx 4.8 \end{aligned}$$

\]

Round 3.785 to the nearest tenth

Using the Rounding Decimals knowledge point
\[

$$\begin{aligned} &\text{Target digit (tenths): } 7\\ &\text{Deciding digit (hundredths): } 8 \ge 5\\ &3.785 \approx 3.8 \end{aligned}$$

\]
</reasoning>

<answer>

Question 3

Complete the table to compare 4.77 to nearby tenths.

Ones.TenthsHundredths
<blank>4</blank>.<blank>7</blank><blank>7</blank>
4.7<blank>7</blank>
4.8<blank>0</blank>

To the nearest tenth, 4.77 rounds to <blank>4.8</blank>.

Question 4

One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth?

Show your work.

Solution: <blank>3.8</blank> liters.
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multi-part",
"knowledge_point": [
"Mathematics",
"Arithmetic",
"Rounding Decimals"
]
}
</post_analysis>

Answer:

<pre_analysis>
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"step_cot",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Decimal Place Value",
"Rounding Decimals"
],
"new_concepts": [
"Rounding to Nearest Tenth"
],
"current_concepts": [
"Decimal Place Value",
"Rounding Decimals",
"Rounding to Nearest Tenth"
]
}
</pre_analysis>

<reasoning>

Complete the place value table

Using the Decimal Place Value knowledge point
\[

$$\begin{array}{c|c|c|c} \text{Ones} & \mathbf{.} & \text{Tenths} & \text{Hundredths} \\ \hline 4 & . & 7 & 0 \\ \hline 4 & . & 7 & 7 \\ \hline 4 & . & 8 & 0 \\ \hline \end{array}$$

\]

Round 4.77 to the nearest tenth

Using the Rounding Decimals knowledge point
\[

$$\begin{aligned} &\text{Target digit (tenths): } 7\\ &\text{Deciding digit (hundredths): } 7 \ge 5\\ &4.77 \approx 4.8 \end{aligned}$$

\]

Round 3.785 to the nearest tenth

Using the Rounding Decimals knowledge point
\[

$$\begin{aligned} &\text{Target digit (tenths): } 7\\ &\text{Deciding digit (hundredths): } 8 \ge 5\\ &3.785 \approx 3.8 \end{aligned}$$

\]
</reasoning>

<answer>

Question 3

Complete the table to compare 4.77 to nearby tenths.

Ones.TenthsHundredths
<blank>4</blank>.<blank>7</blank><blank>7</blank>
4.7<blank>7</blank>
4.8<blank>0</blank>

To the nearest tenth, 4.77 rounds to <blank>4.8</blank>.

Question 4

One gallon is equal to about 3.785 liters. What is this amount rounded to the nearest tenth?

Show your work.

Solution: <blank>3.8</blank> liters.
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multi-part",
"knowledge_point": [
"Mathematics",
"Arithmetic",
"Rounding Decimals"
]
}
</post_analysis>