1. 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
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2. 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

3. 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

4. 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
≤ x <
599.5
600.5
599.5 ≤ x < 600.5
@mathsmrgordon