What would be the result for the following expression?
0.1257 +0.2132 - 0.103

Options

A. 0.2348
B. 0.23
C. 0.236
D. 0.2359

Answer

To solve the expression \(0.1257 + 0.2132 - 0.103\), we will follow these steps:

### Step 1: Add the first two numbers
We start by adding \(0.1257\) and \(0.2132\).

\[ \begin{array}{r} 0.1257 \\ + 0.2132 \\ \hline \end{array} \]

Align the numbers by the decimal point and add:

- **Thousandths place**: \(7 + 2 = 9\)
- **Hundredths place**: \(5 + 3 = 8\)
- **Tenths place**: \(2 + 1 = 3\)
- **Units place**: \(0 + 0 + 1 = 1\)

So,

\[ 0.1257 + 0.2132 = 0.3389 \]

### Step 2: Subtract the third number
Now we will subtract \(0.103\) from the result we obtained in Step 1.

\[ \begin{array}{r} 0.3389 \\ - 0.1030 \\ \hline \end{array} \]

Align the numbers by the decimal point and subtract:

- **Thousandths place**: \(9 - 0 = 9\)
- **Hundredths place**: \(8 - 3 = 5\)
- **Tenths place**: \(3 - 0 = 3\)
- **Units place**: \(0 - 1\) (We need to borrow here. The 3 becomes 2, and the 0 becomes 10, so \(10 - 1 = 9\))

So,

\[ 0.3389 - 0.1030 = 0.2359 \]

### Final Result
The result of the expression \(0.1257 + 0.2132 - 0.103\) is:

\[ \boxed{0.2359} \]