1.6 Approximation, Upper and Lower bounds

Key ideas

• Different representations of numbers enable quantities to be compared and used for computational purposes with ease and accuracy.

• Numbers and formulae can appear in different, but equivalent forms, or representations, which can help us to establish identities.

• I can explain how to find upper and lower bounds of rounded numbers

• I can explain the difference between the decimal places and the significant figures of a value

• I am able to calculate measurement errors (such as rounding errors or measurement limitations). For example finding the maximum percentage error in the area of a circle if the radius measured is 2.5 cm to one decimal place

• I am able to recognize whether the results of calculations are reasonable. For example lengths cannot be negative.