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

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

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

Value Rounded to Place value + / - Lower Bound Upper Bound Error Interval 400 1 significant figure 3 significant figures 2 significant figures 40 4 0.4 0.3 30 0.03 @mathsmrgordon

Value Rounded to Place value + / - Lower Bound Upper Bound Error Interval 400 1 significant figure 100 + / - 50 350 450 350 ≤ x < 450 3 significant figures Whole + / - 0.5 399.5 400.5 399.5 ≤ x < 400.5 2 significant figures Tens + / - 5 395 405 395 ≤ x < 405 40 39.5 40.5 39.5 ≤ x < 40.5 4 Hundredths + / - 0.05 3.95 4.05 3.95 ≤ x < 4.05 3.5 4.5 3.5 ≤ x < 4.5 0.4 Tenths 0.35 0.45 0.35 ≤ x < 0.45 0.3 0.25 0.25 ≤ x < 0.35 30 29.5 30.5 29.5 ≤ x < 30.5 0.03 + / - 0.005 0.025 0.035 0.025 ≤ x < 0.035 @mathsmrgordon