Workout :
7.4-2.19-0.456 - 3.5

Answer

To solve the expression \( 7.4 - 2.19 - 0.456 - 3.5 \), we will break it down into parts and perform the calculations step by step.

### Step 1: Subtract \( 2.19 \) from \( 7.4 \)

1. **Align the decimals**:
\[ \begin{array}{r} 7.40 \\ - 2.19 \\ \hline \end{array} \]

2. **Make it like decimals**: We can add a zero to \( 7.4 \) to make it \( 7.40 \).

3. **Perform the subtraction**:
- Start from the rightmost digit:
- \( 0 - 9 \): We need to borrow. \( 0 \) becomes \( 10 \) (from \( 4 \)), and \( 4 \) becomes \( 3 \).
- Now, \( 10 - 9 = 1 \).
- Next column:
- \( 3 - 1 = 2 \).
- Last column:
- \( 7 - 2 = 5 \).

4. **Result**:
\[ 7.40 - 2.19 = 5.21 \]

### Step 2: Subtract \( 0.456 \) from \( 5.21 \)

1. **Align the decimals**:
\[ \begin{array}{r} 5.210 \\ - 0.456 \\ \hline \end{array} \]

2. **Make it like decimals**: We can add a zero to \( 5.21 \) to make it \( 5.210 \).

3. **Perform the subtraction**:
- Start from the rightmost digit:
- \( 0 - 6 \): We need to borrow. \( 0 \) becomes \( 10 \) (from \( 1 \)), and \( 1 \) becomes \( 0 \).
- Now, \( 10 - 6 = 4 \).
- Next column:
- \( 0 - 5 \): We need to borrow again. \( 0 \) becomes \( 10 \) (from \( 2 \)), and \( 2 \) becomes \( 1 \).
- Now, \( 10 - 5 = 5 \).
- Last column:
- \( 1 - 4 \): We need to borrow. \( 1 \) becomes \( 11 \) (from \( 5 \)), and \( 5 \) becomes \( 4 \).
- Now, \( 11 - 4 = 7 \).
- Finally:
- \( 4 - 0 = 4 \).

4. **Result**:
\[ 5.21 - 0.456 = 4.754 \]

### Step 3: Subtract \( 3.5 \) from \( 4.754 \)

1. **Align the decimals**:
\[ \begin{array}{r} 4.754 \\ - 3.500 \\ \hline \end{array} \]

2. **Make it like decimals**: We can add zeros to \( 3.5 \) to make it \( 3.500 \).

3. **Perform the subtraction**:
- Start from the rightmost digit:
- \( 4 - 0 = 4 \).
- Next column:
- \( 5 - 0 = 5 \).
- Next column:
- \( 7 - 5 = 2 \).
- Last column:
- \( 4 - 3 = 1 \).

4. **Result**:
\[ 4.754 - 3.5 = 1.254 \]

### Final Answer
The final result of \( 7.4 - 2.19 - 0.456 - 3.5 \) is \( 1.254 \).

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