Question

A luxury car dealer pays a sound system installer $33.25 per hour. How much is the sound system installer paid for 37 hours of work? Estimate by rounding to a number with one nonzero digit, then find the exact answer.

Answer 1

Rounding to a number with one non zero digit = $1000

Exact answer = $1230.25

Step-by-step explanation:
`\begin{gathered} \text{Cost per hour = \$33.25} \\ \text{Number of hours installer worked = 37} \end{gathered}`

Total amount paid after 37 hours:

`\begin{gathered} \text{Total amount paid = cost per hour }*\text{ number of hours worked} \\ \text{Total amount paid = 33.25 }*\text{ 37} \\ \text{Total amount paid = 1230.25} \end{gathered}`

To multiply whole number with decimals, we will remove the decimals from the number before multiplication. Then we will return it back after.

The decimal point was in 2 decimal place before. So, we will move the number in 2 decimal place

The installer was paid $1230.25 (this is the exact payment)

To estimate by rounding to a number with one nonzero digit, we will approximate to the the first digit. The approximation will be from the right to the left (up to 1).