Rounding and Estimating Upper & Lower Bounds Example
Learn about calculating upper and lower bounds from rounded values with specific significant figures. Practice rounding techniques and determining error intervals. Explore worked examples and value rounding to enhance your understanding.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Rounding and estimating: Rounding and estimating: Upper and Lower Bounds (sig figs) Upper and Lower Bounds (sig figs) Silent Teacher Intelligent Practice Your Turn Narration 300 has been rounded 2 significant figures. a) Calculate the upper bound. b) Calculate the lower bound. c) Write down the error interval. Example For more videos visit mrbartonmaths.com/videos mrbartonmaths.com/videos
Worked Example Your Turn 300 has been rounded 2 significant figures. 300 has been rounded to 3 significant figures. a) Calculate the upper bound. a) Calculate the upper bound. b) Calculate the lower bound. b) Calculate the lower bound. c) Write down the error interval. 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. a) Calculate the upper bound. b) Calculate the lower bound. b) Calculate the lower bound. c) Write down the error interval. c) Write down the error interval. @mathsmrgordon
Value Rounded to Place value + / - Lower Bound Upper Bound Error Interval 1 significant figure 400 3 significant figures 400 2 significant figures 400 2 significant figures 40 2 significant figures 4 1 significant figure 4 1 significant figure 0.4 1 significant figure 0.3 2 significant figures 30 1 significant figure 0.03 @mathsmrgordon
Value Rounded to Place value + / - Lower Bound Upper Bound Error Interval 1 significant figure 100 + / - 50 350 450 350 x < 450 400 399.5 x < 400.5 3 significant figures Whole + / - 0.5 399.5 400.5 400 350 x < 450 2 significant figures Tens + / - 5 350 450 400 39.5 x < 40.5 2 significant figures Whole + / - 0.5 39.5 40.5 40 3.995 x < 4.005 2 significant figures Hundredths + / - 0.005 3.995 4.005 4 3.5 x < 4.5 1 significant figure Whole + / - 0.5 3.5 4.5 4 0.35 x < 0.45 1 significant figure Tenths + / - 0.05 0.35 0.45 0.4 0.25 x < 0.35 1 significant figure Tenths + / - 0.05 0.25 0.35 0.3 29.5 x < 30.5 2 significant figures Whole + / - 0.5 29.5 30.5 30 0.025 x < 0.035 1 significant figure Hundredths + / - 0.005 0.025 0.035 0.03 @mathsmrgordon
