Find the value of `30.32xx4.5`

Answer

To find the value of \(30.32 \times 4.5\), we can follow these steps:

### Step 1: Rewrite the numbers
We will rewrite the multiplication as \(30.32 \times 4.5\).

### Step 2: Ignore the decimal points temporarily
To simplify the multiplication, we can ignore the decimal points for now. So we will multiply \(3032\) (which is \(30.32\) without the decimal) by \(45\) (which is \(4.5\) without the decimal).

### Step 3: Perform the multiplication
Now, we will multiply \(3032\) by \(45\):

\[ 3032 \times 45 \]

Calculating this step by step:
- \(3032 \times 5 = 15160\)
- \(3032 \times 40 = 121280\) (since \(40\) is \(4 \times 10\), we can calculate \(3032 \times 4\) and then multiply by \(10\))

Now, adding these two results together:
\[ 15160 + 121280 = 136440 \]

### Step 4: Count the decimal places
Now, we need to place the decimal point back in the result. The original numbers had:
- \(30.32\) has 2 decimal places.
- \(4.5\) has 1 decimal place.

So, in total, we have \(2 + 1 = 3\) decimal places.

### Step 5: Place the decimal point
We will place the decimal point in \(136440\) to get \(136.440\). Since trailing zeros after the decimal do not change the value, we can write it as \(136.44\).

### Final Answer
Thus, the value of \(30.32 \times 4.5\) is \(136.44\).

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