Find the product and explain the process and reasoning step by step $0.79 × 3.7 =

The units of the first number are "dollars." The second number has no apparent units, so we'll consider it a "pure number". This means the product will have the units of "dollars."

The two numbers together have 2+1=3 digits to the right of the decimal point(s). This means the final product will have 3 digits to the right of the decimal point. Since one of the factors is "dollars," it seems likely the result will need to be rounded to cents (2 decimal places). We'll provide the answer both ways (with 3 and with 2 decimal places.)

With these preliminaries out of the way, we have the problem of multiplying

... 79 × 37

There are numerous methods taught for finding this product. In the end, they all amount to multiplying every digit in one number by every digit in the other number and adding the results with appropriate place values. Several methods use 2-dimensional tables or arrays in their process. Here, we will use text on a line.

... 79 × 37 = (70 +9) × (30 +7)

... = 70×30 + 9×30 + 70×7 + 9×7

... = 2100 + 270 +490 + 63

... = 2100 +760 +63

... = 2860 +63

... = 2923

Putting the decimal point 3 places from the right, and adding the dollar sign gives our product:

... $0.79 × 3.7 = $2.923 ≈ $2.92

f(x) = y

f(-3) = -5

step-by-step explanation: