Question

1. state the rules governing the number of significant figures that result from each of the following operations. a. addition and subtraction b. multiplication and division 50. why is it necessary to use si units? make the following conversions between some units of food measurement. (1 cup = 16 tbsp. 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts) 51. 96 tbsp. into cups 96\frac{1}{16} 6 cups 52. 15 quarts into pints 15\frac{1}{2} 7.5 pints 53. 545 cups into gallons make the following conversions between units of distance. (1 mile = 1760 yards 1 yard = 3 feet 1 foot = 12 inches) 54. 79 feet into yards 55. 539 inches into feet 56. 6.1 miles into inches

Explanation:

46.

a. In addition and subtraction, the result should be rounded to the same number of decimal places as the measurement with the fewest decimal places among the values being added or subtracted. This ensures the result reflects the precision of the least - precise measurement.
b. In multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures among the values being multiplied or divided. This maintains consistency with the precision of the input values.

SI (International System of Units) is necessary because it provides a standardized, universal system of measurement. This allows for clear communication of scientific and technical information across different countries and disciplines, reduces errors in calculations and measurements, and ensures reproducibility of experiments and results.

Step1: Use conversion factor

Given 1 cup = 16 Tbsp, to convert 96 Tbsp to cups, we divide the number of tablespoons by the number of tablespoons per cup.
$96\div16$

Answer:

a. Round to the same number of decimal places as the measurement with the fewest decimal places.
b. Have the same number of significant figures as the measurement with the fewest significant figures.

50.