Rounding and estimating Upper and Lower Bounds sig

Rounding and estimating: Upper and Lower Bounds (sig figs) Silent Teacher Narration Your Turn 300 has been rounded 2 significant figures. a) Calculate the upper bound. b) Calculate the lower bound. Practice c) Write down the error interval. Intelligent Practice

Worked Example Your Turn 300 has been rounded 2 significant figures. 300 has been rounded to 3 significant figures. a) Calculate the upper bound. b) Calculate the lower bound. c) Write down the error interval. @mathsmrgordon

Worked Example Your Turn 7 has been rounded to 1 significant figure. 8 has been rounded to 2 significant figures. a) Calculate the upper bound. b) Calculate the lower bound. c) Write down the error interval. @mathsmrgordon

Value Rounded to 400 1 significant figure 400 3 significant figures 400 2 significant figures 4 1 significant figure 0. 3 1 significant figure 30 2 significant figures 0. 03 1 significant figure Place value +/- Lower Bound Upper Bound Error Interval @mathsmrgordon

Value Rounded to Place value +/- Lower Bound Upper Bound Error Interval 400 1 significant figure 100 + / - 50 350 450 350 ≤ x < 450 400 3 significant figures Whole + / - 0. 5 399. 5 400. 5 399. 5 ≤ x < 400. 5 400 2 significant figures Tens +/-5 395 405 395 ≤ x < 405 40 2 significant figures Whole + / - 0. 5 39. 5 40. 5 39. 5 ≤ x < 40. 5 4 2 significant figures Hundredths + / - 0. 05 3. 95 4. 05 3. 95 ≤ x < 4. 05 4 1 significant figure Whole + / - 0. 5 3. 5 4. 5 3. 5 ≤ x < 4. 5 0. 4 1 significant figure Tenths + / - 0. 05 0. 35 0. 45 0. 35 ≤ x < 0. 45 0. 3 1 significant figure Tenths + / - 0. 05 0. 25 0. 35 0. 25 ≤ x < 0. 35 30 2 significant figures Whole + / - 0. 5 29. 5 30. 5 29. 5 ≤ x < 30. 5 0. 03 1 significant figure Hundredths + / - 0. 005 0. 025 0. 035 0. 025 ≤ x < 0. 035 @mathsmrgordon