Limits of Accuracy

Maths: Edexcel IGCSE Higher, topic 1.8.4

Upper and Lower Bounds - Addition

Max weighs 65kg (to 2 significant figures). Andy weighs 72kg (to 2 significant figures). What are the upper and lower bounds for their total weight?

Write out individual bounds

Write out individual bounds

Smallest weight - step 1

Smallest weight - step 1

Smallest weight - step 2

Smallest weight - step 2

Smallest weight - step 3

Smallest weight - step 3

Largest weight - step 1

Largest weight - step 1

Largest weight - step 2

Largest weight - step 2

Largest weight - step 3

Largest weight - step 3

Total weight bounds

Total weight bounds

Upper and Lower Bounds - Subtraction

The total length of a rope is 3m (to 1 significant figure). The length of rope cut off is 0.4m (to 1 decimal place). What are the upper and lower bounds for the remaining length of rope?

Write out individual bounds

Write out individual bounds

Smallest remaining length - step 1

Smallest remaining length - step 1

Smallest remaining length - step 2

Smallest remaining length - step 2

Smallest remaining length - step 3

Smallest remaining length - step 3

Largest remaining length - step 1

Largest remaining length - step 1

Largest remaining length - step 2

Largest remaining length - step 2

Largest remaining length - step 3

Largest remaining length - step 3

Remaining length bounds

Remaining length bounds

Test yourself on Limits of Accuracy

  • How do you find the upper bound of an addition x + y?

  • How do you find the lower bound of an addition x + y?

  • How do you find the lower bound of a subtraction x − y?

  • How do you find the upper bound of a subtraction x − y?

  • If W = v - u, and the bounds for v and u are 4 < v < 5 and 2 < u < 6, then what is the maximum possible value of W?

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