Rounding with Decimals
Round 4.056 to 1 dec place.
4.1
How many significant figures does 450 000 have?
6
Express 360 000 in scientific notation.
3.6 x 105
What is the smallest unit of measurement in 6.718 kg
0.001 kg
What is the percentage error of 170cm if I measure to the nearest cm?
PE = 0.5/170 x 100
= 0.29% (2dp)
Round 0.0054 to 3 decimal places.
0.005
How many significant figures does 0.0056 have?
2
Express 0.000678 in scientific notation.
6.78 x 10-4
What is the absolute error of 3.2 mm?
Smallest unit of measurement = 0.1mm
Absolute error = 1/2 x 0.1 = 0.05
What is the percentage error of a measurement of 60.1kg?
PE = 0.05/60.1 x 100
= 0.083%
Round 345.6789 to 2 decimal places.
345.68
Round 9 856 000 to 2 significant figures.
9 900 000
Express 9.67 x 10-8 in normal form.
0.0000000967
What are the upper and lower bounds of 173.45 cm?
Upper bound = 173.455
Lower Bound = 173.445
The percentage error of a measurement that was rounded to the nearest kg was 0.09%. What was the measurement?
55.3
Round 0.00899 to 4 decimal places.
0.0090
Round 0.00076325 to 3 significant figures.
0.000763
Write 0.0000000000000975 in scientific notation.
9.75 × 10-14
The base and height of a triangle are 3.1m and 4.4m respectively. What are the upper and lower bounds of these measurements?
Upper bounds = 3.15, 4.45
Lower Bounds = 3.05, 4.35
A door is measured to be 2.6m long. Find the absolute and percentage error.
AE = 0.05
PE = 0.5/2.6 x 100
= 19.23%
Round 7.356 x 10-3 to the nearest thousandth. Leave your answer in decimal form.
0.007
Evaluate (6.74 x 10-5) x (3.24 x 10-3). Leave your answer in scientific notation and round it to 2 significant figures.
2.2 x 10-7
If a star's luminosity is 2.5 x 1030 watts and it emits light for 3.15 x 107 seconds in a year, what is the total energy emitted by the star in a year, expressed in scientific notation?
E = 7.875 x 1037 watts
What are the maximum and minimum areas of a triangle with a height of 6 and a base of 12?
Upper bounds = 6.5, 12.5
Lower bounds = 5.5, 11.5
Max Area = 40.625
Min Area = 31.265
I measure my height as 175cm. I re-measure it more accurately and measure 175.6cm. What is the difference in percentage error of these measurements?
PE = 0.5/175 x 100 = 0.29%
PE = 0.05/175.6 x 100 = 0.028%
Difference = 0.262