Solve: `0.275+0.569-0.336`

Options

A. 0.123
B. 0.508
C. 0.457
D. 0.594

Answer

To solve the expression \(0.275 + 0.569 - 0.336\), we can follow these steps:

### Step 1: Add the first two numbers
We start by adding \(0.275\) and \(0.569\).

\[ \begin{array}{r} 0.275 \\ + 0.569 \\ \hline \end{array} \]

Align the numbers by the decimal point and add:

- Start from the rightmost column:
- \(5 + 9 = 14\) (write down 4 and carry over 1)
- Next column:
- \(7 + 6 + 1 = 14\) (write down 4 and carry over 1)
- Last column:
- \(0 + 5 + 1 = 6\)

So, \(0.275 + 0.569 = 0.844\).

### Step 2: Subtract the third number
Now, we subtract \(0.336\) from \(0.844\).

\[ \begin{array}{r} 0.844 \\ - 0.336 \\ \hline \end{array} \]

Align the numbers by the decimal point and subtract:

- Start from the rightmost column:
- \(4 - 6\) (we cannot subtract, so we borrow 1 from the next column, making it \(14 - 6 = 8\))
- Next column:
- \(3 - 3 = 0\) (after borrowing, the middle column becomes \(3\))
- Last column:
- \(8 - 3 = 5\)

So, \(0.844 - 0.336 = 0.508\).

### Final Answer
The final result is \(0.508\).