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 For more videos visit mrbartonmaths.com/videos

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.

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

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