What approximate value should come in place of the question mark (?) in the following questions?
(Note: You are not expected to calculate the exact value)
`0*501 xx 10*011 xx 52*83 = ?`

Options

A. 205
B. 225
C. 245
D. 265

Answer

To find the approximate value of the expression \(0.501 \times 10.011 \times 52.83\), we will round each number to its nearest significant figure and then perform the multiplication.

### Step 1: Approximate \(0.501\)
- The number \(0.501\) is close to \(0.5\) when rounded.

**Hint:** Look at the first digit after the decimal point to determine if you should round up or down.

### Step 2: Approximate \(10.011\)
- The number \(10.011\) is very close to \(10\) since \(0.011\) is negligible.

**Hint:** Ignore the decimal part when it is significantly smaller than the whole number.

### Step 3: Approximate \(52.83\)
- The number \(52.83\) rounds to \(53\) because \(0.83\) is more than half.

**Hint:** Check the first digit after the decimal to decide whether to round up or down.

### Step 4: Multiply the approximated values
Now we can multiply the approximated values together:
\[ 0.5 \times 10 \times 53 \]

### Step 5: Calculate the multiplication
1. First, multiply \(0.5\) by \(10\):
\[ 0.5 \times 10 = 5 \]

2. Next, multiply \(5\) by \(53\):
\[ 5 \times 53 = 265 \]

### Final Answer
Thus, the approximate value that should come in place of the question mark (?) is \(265\).

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