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:

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.

Answer:

• (A) Take out the 0 in the hundredths place to change 2.309 to 2.39. (Correct answer)
• (B) Change the 3 in the tenths place of 2.309 to 4. (Correct answer)
• (C) Change the 4 in the tenths place of 2.4 to 3. (Correct answer)
• (D) Change the 0 in the hundredths place of 2.309 to 4.