Understanding Rounding and Estimating: Upper and Lower Bounds Example

Explore how to determine upper and lower bounds after rounding numbers to the nearest 1000 or 100. Learn how to calculate the error intervals and practice your skills with provided examples. Gain a clear understanding of rounding to the nearest whole number and how to identify boundaries in estimation.

• Rounding
• Estimating
• Upper Bounds
• Lower Bounds
• Math Practice

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Uploaded on Aug 03, 2024 | 1 Views

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1. Rounding and estimating: Rounding and estimating: Upper and Lower Bounds Upper and Lower Bounds Silent Teacher Intelligent Practice Your Turn Narration 3000 has been rounded to the nearest 1000. 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

2. Worked Example Your Turn 3000 has been rounded to the nearest 1000. a) Calculate the upper bound. 3000 has been rounded to the nearest 100. a) Calculate the upper bound. b) Calculate the lower bound. b) Calculate the lower bound. c) Write the error interval. c) Write the error interval. @mathsmrgordon

3. Value Rounded to Lower Bound Upper Bound Error Interval Nearest 1000 6000 Nearest 100 6000 Nearest 100 600 Nearest 10 600 Nearest 10 6000 Nearest 10 60 To nearest whole 60 To the nearest whole 6 To the nearest whole 6000 To the nearest whole 600 @mathsmrgordon

4. Value Rounded to Lower Bound Upper Bound Error Interval Nearest 1000 5500 6500 5500 x < 6500 6000 Nearest 100 5950 6050 5950 x < 6050 6000 Nearest 100 550 650 550 x < 650 600 Nearest 10 595 605 595 x < 605 600 Nearest 10 5995 6005 5995 x < 6005 6000 Nearest 10 55 65 55 x < 65 60 To nearest whole 59.5 60.5 59.5 x < 60.5 60 To the nearest whole 5.5 6.5 5.5 x < 6.5 6 To the nearest whole 5999.5 6000.5 5999.5 x < 6000.5 6000 To the nearest whole 599.5 600.5 599.5 x < 600.5 600 @mathsmrgordon