1. Error Intervals: Rounded to significant figures
Silent
Teacher
Intelligent Practice
Narration
Your Turn
2300 has been rounded to 2 significant figures
What place value has it been rounded to?
Write the error interval.
Example
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2. Worked Example Your Turn
4200 has been rounded to 2 significant figures
a) What place value has it been rounded to?
b) Write the error interval.
3200 has been rounded to 2 significant figures
a) What place value has it been rounded to?
b) Write the error interval.

3. Rounded to the nearest…….
Value
Rounded to
Rounded to the nearest…….
Error Interval
4000
1 significant figure
5000
6000
600 60 6
5300
2 significant figures
5200
5100
5320
3 significant figures
5310
8000
1 significant figures 8
0.8
3.8
3.7
13.7
1.37
1.38

4. Rounded to the nearest…….
Value
Rounded to
Rounded to the nearest…….
Error Interval
4000
1 significant figure
 1000
3500 ≤ x <  4500
5000
1000 
4500 ≤ x <  5500
6000
5500 ≤ x < 6500
600
 100
550 ≤ x < 650 60
10 
55 ≤ x < 65 6  1
5.5 ≤ x < 6.5
5300
2 significant figures
5250 ≤ x < 5350
5200
5150 ≤ x < 5250
5100
5050 ≤ x < 5150
4950 ≤ x < 5050
5320
3 significant figures
 10
5315 ≤ x < 5325
5310
5305 ≤ x <  5325
5295 ≤ x < 5305
8000
7995 ≤ x < 8005
7950 ≤ x < 8050
1 significant figures
7500 ≤ x < 8500 8
7.5 ≤ x < 8.5
0.8
 0.1
0.75 ≤ x < 0.85
3.8
3.75 ≤ x < 3.85
3.7
3.65 ≤ x < 3.75
13.7
13.65 ≤ x < 13.75
1.37
 0.01
1.365 ≤ x < 1.375
1.38
1.375 ≤ x < 1.385