The product below is shown without the decimal point use number sent to place the decimal point correctly 5.03×14.5

1 answer

To find the product of the numbers \(5.03\) and \(14.5\), first perform the multiplication without considering the decimal point:

\[ 503 \times 145 \]

Calculating \(503 \times 145\):

  1. Multiply \(503\) by \(5\):
    \(503 \times 5 = 2515\)

  2. Multiply \(503\) by \(40\):
    \(503 \times 40 = 20120\) (because \(40 = 4 \times 10\))

  3. Multiply \(503\) by \(100\):
    \(503 \times 100 = 50300\)

Now, we need to add these up:

\[ 2515 + 20120 + 50300 = 72735 \]

Next, we count the total number of decimal places in the original numbers.

  • \(5.03\) has 2 decimal places.
  • \(14.5\) has 1 decimal place.

In total, there are \(2 + 1 = 3\) decimal places.

Now, we place the decimal point in \(72735\) to reflect these 3 decimal places:

The product is:

\[ 72.735 \]

So, the final answer is:

\[ 5.03 \times 14.5 = 72.735 \]