`0.5 - 0.0036` = ?

Options

A. 0.4964
B. 0.4864
C. 0.4854
D. 0.4954

Answer

To solve the problem \(0.5 - 0.0036\), we will follow these steps:

### Step 1: Align the numbers by the decimal point
First, we need to write the numbers in a way that makes it easier to subtract them. We can rewrite \(0.5\) as \(0.5000\) to have the same number of decimal places as \(0.0036\).

\[ 0.5000 - 0.0036 \]

### Step 2: Subtract the numbers
Now we can perform the subtraction. We will start from the rightmost digit and move to the left.

1. In the thousandths place: \(0 - 6\) cannot be done, so we need to borrow from the next digit.
2. Borrowing from the \(0\) in the hundredths place (which becomes \(9\)), we turn the \(0\) in the thousandths place into \(10\). Now we have \(10 - 6 = 4\).
3. Next, we move to the hundredths place: \(0 - 3\) again cannot be done, so we borrow from the tenths place (which becomes \(4\)). The \(0\) in the hundredths place becomes \(10\). Now we have \(10 - 3 = 7\).
4. In the tenths place: \(4 - 0 = 4\).
5. Finally, in the units place: \(0 - 0 = 0\).

Putting it all together, we have:

\[ 0.5000 - 0.0036 = 0.4964 \]

### Final Answer
Thus, the result of \(0.5 - 0.0036\) is:

\[ \boxed{0.4964} \]

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