Multiplying decimals

A gallon of gas costs $2.16. Rob buys 13.5 gallons of gas. How much did he pay?

1 answer

To find out how much Rob paid for the gas, you need to multiply the cost per gallon by the number of gallons purchased.

The cost per gallon is $2.16 and the number of gallons is 13.5.

Perform the multiplication:

\[ 2.16 \times 13.5 \]

First, let's break it down:

  1. Multiply without the decimal: \[ 216 \times 135 \]

    Calculate \( 216 \times 135 \):

    \[ 216 \times 135 = 29160 \]

  2. Count the decimal places:

    • \(2.16\) has 2 decimal places.
    • \(13.5\) has 1 decimal place.
    • In total, we have \(2 + 1 = 3\) decimal places.
  3. Insert the decimal point: \(29160\) becomes \(29.160\) when you move the decimal point 3 places to the left.

So, the total amount Rob paid for the gas is:

\[ \text{Total cost} = 29.16 \]

Thus, Rob paid $29.16 for 13.5 gallons of gas.