Why do Taylor polynomials improve in their approximations as you continue to iterate them? What does the error (remainder) term have to do with this?

Find the number of liters in 12.8 gal of gasoline. round to the nearest hundredths

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?

Tell whether the two rates form a proportion