Rounding and estimating: Upper and Lower Bounds Silent Teacher Intelligent Practice Narration Your Turn 3000 has been rounded to the nearest 1000. Calculate the upper bound. Calculate the lower bound. Write down the error interval. Example For more videos visit mrbartonmaths.com/videos

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

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

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