Question

need help with these questions please

1. Why 5.67 +0.00032 = 5.67 (and not 5.7 or 5.67032 or any other number). 2. Why does 4.03/0.0000035 1.2 x 106, instead of a different number of significant figures? 3. Why is it that 85.48 rounded to two sig. figs. is 85 and not 86?

Answer 1

1) In addition or subtraction, the result carries the same number of decim al places as the quantity carrying the fewest (2) decimal places 5.670.00032 = 5.67032 rounded to = 5.67 2 decimal places 2) numeratore has 3 significant figures and denominator has 2 sig figures In multiplicati on or division, the result carries the same number of significant figures as the quantity with the fewest (2) significant figures 4.03 = 1151428 0.000 0035 : rounded to = 1.2x10 2 significant figures 3) If the first digit to be dropped is 5 or more, then the last retained digit of the number is increased by 1 If the first digit to be droppedis less than 5, then the last retained digit of the number will rem ain same Since the first di git to be dropped is 4, then the last retained digit (4) will remain same 85.48 85