Question

art galleries often Price paintings by the square inch. If a painting measures 22.5 inches by 34 inches and cost $4.15 per square inch, what is the selling price for that painting?

Answer 1

$3174.75 because 22.5 x 34 x 4.15 = 3174.75

Answer 2

The selling price of the painting is $3174.75

Further explanation

The painting's measurement 22.5 x 34 inches

Cost $4.15/inch²

The selling price of the painting?

Firs, we are going to find out the area of the painting

$=\boxed {22.5 \times34\ }\\ =\boxed {765\ }$

here is the step by step for decimal multiplication

22.5         ⇒ has 1 decimal place

  34  x     ⇒ has 0 decimal place

900

675  +

765.0      ⇒ has 1 decimal place

The area of the painting is 765 inches²

The we are going to calculate the painting's selling price

= the area or the square inch x price/inch

$=\boxed {765 \times4.15\ }\\ =\boxed {3174.75\ }$

   

      765            ⇒ has 0 decimal place

      4.15  x       ⇒ has 2 decimal place

    3825

    765

3060      +

317475           ⇒ has 2 decimal place so the answer would be 3174.75

When doing the decimal number multiplication we don't need to line up the decimal. The whole process as the same as the whole number multiplication except for the placement of the decimal point in the answer.

The first factor has 0 decimal place

The second factor has 2 decimal place

so the answer would have 2 decimal place (0+2)

Learn more

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Keywords: multiplication, decimal multiplication, two digits number additional, additional, subtraction decimal, regrouping