Limits of Accuracy 2
Maths: Edexcel IGCSE Higher, topic 1.8.5
Upper and Lower Bounds - Multiplication
The height of a rectangle is 0.5 (to 1 decimal place). The length of the rectangle is 10 (to 2 significant figures). What are the upper and lower bounds for the area of the rectangle?
Write out individual bounds
Smallest area - step 1
Smallest area - step 2
Smallest area - step 3
Largest area - step 1
Largest area - step 2
Largest area - step 3
Area bounds
Upper and Lower Bounds - Division
Speed = distance ÷ time. If a car travels 30km (to 1 significant figure) in a time of 7 hours (to 1 significant figure), what are the upper and lower bounds for its speed?
Write out individual bounds
Lowest speed - step 1
Lowest speed - step 2
Lowest speed - step 3
Highest speed - step 1
Highest speed - step 2
Highest speed - step 3
Speed bounds
Test yourself on Limits of Accuracy 2
The equation for distance is speed times time: d = v × t
If 4 < v < 5 and 2 < t < 3, then what are the range of values d can be?How do you find the lower bound of a multiplication x × y?
How do you find the upper bound of a multiplication x × y?
The height of a rectangle is 2m (to nearest metre). The length of the rectangle is 5m (to nearest metre). What is the upper bound for the area of the rectangle? You may need a calculator.
The height of a rectangle is 2m (to nearest metre). The length of the rectangle is 5m (to nearest metre). What is the lower bound for the area of the rectangle? You may need a calculator.