4 + 44 + 444 + 4444 + 44444 = ?

Options

A. 49308
B. 49380
C. 40398
D. 49083

Answer

To solve the expression \( 4 + 44 + 444 + 4444 + 44444 \), we can break it down step by step.

### Step 1: Write the numbers in expanded form
We can express each number in the sum as a multiple of 4:
- \( 4 = 4 \)
- \( 44 = 40 + 4 \)
- \( 444 = 400 + 40 + 4 \)
- \( 4444 = 4000 + 400 + 40 + 4 \)
- \( 44444 = 40000 + 4000 + 400 + 40 + 4 \)

### Step 2: Group the numbers by place value
Now, let's group the numbers based on their place values:
- Units place: \( 4 + 4 + 4 + 4 + 4 = 20 \)
- Tens place: \( 0 + 4 + 40 + 0 + 0 = 44 \)
- Hundreds place: \( 0 + 0 + 400 + 0 + 0 = 400 \)
- Thousands place: \( 0 + 0 + 0 + 4000 + 0 = 4000 \)
- Ten-thousands place: \( 0 + 0 + 0 + 0 + 40000 = 40000 \)

### Step 3: Add the contributions from each place value
Now we can add the contributions from each place value:
- Units: \( 20 \) (which gives us \( 0 \) in the units place and carries \( 2 \))
- Tens: \( 4 + 2 = 6 \)
- Hundreds: \( 400 \)
- Thousands: \( 4000 \)
- Ten-thousands: \( 40000 \)

### Step 4: Combine all the contributions
Now we can add these contributions together:
- \( 40000 + 4000 + 600 + 0 = 44400 + 20 = 44420 \)

Thus, the final answer is:
\[ \boxed{44444} \]