Compounded Errors 18 January 2022 Example Alice is

Example Alice is 145 centimetres tall correct to the nearest centimetre. Billal is 162

Example The size of a square field is given as 90 m correct to

Example If the radius of a sphere is given as 4 cm correct to

Example The width of your book to the nearest millimetre is 171 mm. The

Example The sides of a rectangle are given as 5. 2 cm and 3.

Example Given that the numbers 8. 6, 3. 2 and 11. 5 are all

Example Taking the Earth to be a sphere of diameter 7900 miles to an

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Compounded Errors 18 January 2022

Example Alice is 145 centimetres tall correct to the nearest centimetre. Billal is 162 centimetres tall correct to the nearest centimetre. Work out the least possible difference in their heights.

Example The size of a square field is given as 90 m correct to the nearest 10 metres. Calculate the possible range of values for a) the side of the field b) the area of the field 90 m

Example If the radius of a sphere is given as 4 cm correct to the nearest whole number find the range of values for the volume of this sphere.

Example The width of your book to the nearest millimetre is 171 mm. The length of your book to the nearest millimetre is 222 mm. Calculate the maximum and minimum areas of the page.

Example The sides of a rectangle are given as 5. 2 cm and 3. 8 cm correct to 1 decimal place. Find a) the upper limit of the area b) the minimum area of the rectangle with these dimensions

Example Given that the numbers 8. 6, 3. 2 and 11. 5 are all accurate to 1 decimal place, calculate the upper and lower bounds for the calculation

Example Taking the Earth to be a sphere of diameter 7900 miles to an accuracy of 2 significant figures. (a)Calculate the upper and lower bounds for its diameter. (b)Calculate the upper and lower bounds for its volume. Water covers 71. 8% of the Earth’s surface to an accuracy of 1 decimal place. (c) Calculate the upper bound of the area of water on the Earth’s surface.