Let's simplify the given equation step-by-step:
[tex]\[ = 0 \times 10 + \frac{1}{2} \times 4 \times (10)^2 \][/tex]
### Step 1: Simplify the First Part
First, we handle the multiplication in the first term:
[tex]\[ 0 \times 10 = 0 \][/tex]
### Step 2: Simplify the Second Part
Next, we move on to the second term:
[tex]\[ \frac{1}{2} \times 4 \times (10)^2 \][/tex]
#### Step 2A: Calculate [tex]\( 10^2 \)[/tex]
[tex]\[ 10^2 = 100 \][/tex]
#### Step 2B: Multiply by 4
[tex]\[ \frac{1}{2} \times 4 \][/tex]
[tex]\[ = 2.0 \][/tex]
#### Step 2C: Multiply by the Result of 10^2
[tex]\[ 2.0 \times 100 = 200.0 \][/tex]
### Step 3: Add All Parts Together
Now, we add the results from Step 1 and Step 2:
[tex]\[ 0 + 200.0 = 200.0 \][/tex]
Therefore, the final result is:
[tex]\[ = 200.0 \][/tex]
