Find the value of `896.72 xx 0.15` correct to the nearest tenths.

Options

A. `134.51`
B. `134.6`
C. `134.61`
D. `134.5`

Answer

To find the value of \( 896.72 \times 0.15 \) correct to the nearest tenths, we will follow these steps:

### Step 1: Perform the multiplication
First, we need to multiply \( 896.72 \) by \( 0.15 \).

\[ 896.72 \times 0.15 = 134.508 \]

### Step 2: Identify the tenths place
Next, we need to identify the tenths place in the result \( 134.508 \). The tenths place is the first digit after the decimal point. In this case, the tenths place is \( 5 \).

### Step 3: Identify the hundredths place
Now, we look at the digit in the hundredths place, which is the second digit after the decimal point. In \( 134.508 \), the hundredths place is \( 0 \).

### Step 4: Apply the rounding rule
According to the rounding rule:
- If the digit in the hundredths place is less than \( 5 \), we do not add anything to the tenths place.
- If the digit in the hundredths place is \( 5 \) or more, we add \( 1 \) to the tenths place.

Since the hundredths digit is \( 0 \) (which is less than \( 5 \)), we keep the tenths place as it is.

### Step 5: Write the final rounded value
Thus, the value of \( 134.508 \) rounded to the nearest tenths is:

\[ 134.5 \]

### Final Answer
The value of \( 896.72 \times 0.15 \) correct to the nearest tenths is \( 134.5 \).

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