Question

5 which change would make the statement below true?
circle the letter of all that apply.

2.309 rounded to the nearest tenth is 2.4.

a take out the 0 in the hundredths place to change 2.309 to 2.39.
b change the 3 in the tenths place of 2.309 to 4.
c change the 4 in the tenths place of 2.4 to 3.
d change the 0 in the hundredths place of 2.309 to 4.

Explanation:

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<reasoning>

Analyze the initial statement

Using the Rounding to Nearest Tenth knowledge point
The given statement is: "\(2.309\) rounded to the nearest tenth is \(2.4\)."
Let's check if this is true:

• The tenths digit of \(2.309\) is \(3\).
• The hundredths digit is \(0\).
• Since \(0 < 5\), we round down.
• Thus, \(2.309\) rounded to the nearest tenth is \(2.3\), not \(2.4\).

The statement is currently false. We need to find which changes make it true.

Evaluate Option A

Using the Decimal Place Value knowledge point

• Change: Take out the \(0\) in the hundredths place to change \(2.309\) to \(2.39\).
• New statement: "\(2.39\) rounded to the nearest tenth is \(2.4\)."
• Let's round \(2.39\) to the nearest tenth:
• The tenths digit is \(3\).
• The hundredths digit is \(9\).
• Since \(9 \ge 5\), we round up to \(2.4\).
• This change makes the statement true.

Evaluate Option B

Using the Decimal Place Value knowledge point

• Change: Change the \(3\) in the tenths place of \(2.309\) to \(4\).
• New number: \(2.409\).
• New statement: "\(2.409\) rounded to the nearest tenth is \(2.4\)."
• Let's round \(2.409\) to the nearest tenth:
• The tenths digit is \(4\).
• The hundredths digit is \(0\).
• Since \(0 < 5\), we round down to \(2.4\).
• This change makes the statement true.

Evaluate Option C

Using the Decimal Place Value knowledge point

• Change: Change the \(4\) in the tenths place of \(2.4\) to \(3\).
• New target value: \(2.3\).
• New statement: "\(2.309\) rounded to the nearest tenth is \(2.3\)."
• Let's round \(2.309\) to the nearest tenth:
• The tenths digit is \(3\).
• The hundredths digit is \(0\).
• Since \(0 < 5\), we round down to \(2.3\).
• This change makes the statement true.

Evaluate Option D

Using the Decimal Place Value knowledge point

• Change: Change the \(0\) in the hundredths place of \(2.309\) to \(4\).
• New number: \(2.349\).
• New statement: "\(2.349\) rounded to the nearest tenth is \(2.4\)."
• Let's round \(2.349\) to the nearest tenth:
• The tenths digit is \(3\).
• The hundredths digit is \(4\).
• Since \(4 < 5\), we round down to \(2.3\).
• This change does not make the statement true.

</reasoning>

<answer>
<mcq-correct>(A) Take out the 0 in the hundredths place to change 2.309 to 2.39.</mcq-correct>
<mcq-correct>(B) Change the 3 in the tenths place of 2.309 to 4.</mcq-correct>
<mcq-correct>(C) Change the 4 in the tenths place of 2.4 to 3.</mcq-correct>
<mcq-option>(D) Change the 0 in the hundredths place of 2.309 to 4.</mcq-option>
</answer>

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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Arithmetic",
"Rounding Decimals"
]
}
</post_analysis>

Answer:

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</pre_analysis>

<reasoning>

Analyze the initial statement

Using the Rounding to Nearest Tenth knowledge point
The given statement is: "\(2.309\) rounded to the nearest tenth is \(2.4\)."
Let's check if this is true:

• The tenths digit of \(2.309\) is \(3\).
• The hundredths digit is \(0\).
• Since \(0 < 5\), we round down.
• Thus, \(2.309\) rounded to the nearest tenth is \(2.3\), not \(2.4\).

The statement is currently false. We need to find which changes make it true.

Evaluate Option A

Using the Decimal Place Value knowledge point

• Change: Take out the \(0\) in the hundredths place to change \(2.309\) to \(2.39\).
• New statement: "\(2.39\) rounded to the nearest tenth is \(2.4\)."
• Let's round \(2.39\) to the nearest tenth:
• The tenths digit is \(3\).
• The hundredths digit is \(9\).
• Since \(9 \ge 5\), we round up to \(2.4\).
• This change makes the statement true.

Evaluate Option B

Using the Decimal Place Value knowledge point

• Change: Change the \(3\) in the tenths place of \(2.309\) to \(4\).
• New number: \(2.409\).
• New statement: "\(2.409\) rounded to the nearest tenth is \(2.4\)."
• Let's round \(2.409\) to the nearest tenth:
• The tenths digit is \(4\).
• The hundredths digit is \(0\).
• Since \(0 < 5\), we round down to \(2.4\).
• This change makes the statement true.

Evaluate Option C

Using the Decimal Place Value knowledge point

• Change: Change the \(4\) in the tenths place of \(2.4\) to \(3\).
• New target value: \(2.3\).
• New statement: "\(2.309\) rounded to the nearest tenth is \(2.3\)."
• Let's round \(2.309\) to the nearest tenth:
• The tenths digit is \(3\).
• The hundredths digit is \(0\).
• Since \(0 < 5\), we round down to \(2.3\).
• This change makes the statement true.

Evaluate Option D

Using the Decimal Place Value knowledge point

• Change: Change the \(0\) in the hundredths place of \(2.309\) to \(4\).
• New number: \(2.349\).
• New statement: "\(2.349\) rounded to the nearest tenth is \(2.4\)."
• Let's round \(2.349\) to the nearest tenth:
• The tenths digit is \(3\).
• The hundredths digit is \(4\).
• Since \(4 < 5\), we round down to \(2.3\).
• This change does not make the statement true.

</reasoning>

<answer>
<mcq-correct>(A) Take out the 0 in the hundredths place to change 2.309 to 2.39.</mcq-correct>
<mcq-correct>(B) Change the 3 in the tenths place of 2.309 to 4.</mcq-correct>
<mcq-correct>(C) Change the 4 in the tenths place of 2.4 to 3.</mcq-correct>
<mcq-option>(D) Change the 0 in the hundredths place of 2.309 to 4.</mcq-option>
</answer>

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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Arithmetic",
"Rounding Decimals"
]
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</post_analysis>