Study Guides

Unit Summary

This unit explores the impact of upper and lower bounds on additive and multiplicative calculations.

Lesson Summary

You will learn to calculate upper and lower bounds for calculations involving rounded numbers.

Key Notes

• The biggest possible sum comes from adding the upper bounds.
• The smallest possible sum comes from adding the lower bounds.
• The biggest possible difference comes from subtracting a lower bound from an upper bound.
• The smallest possible difference comes from subtracting an upper bound from a lower bound.

Vocabulary To Learn

• Upper bound: The upper bound for a rounded number is the smallest value that would round up to the next rounded value.
• Lower bound: The lower bound for a rounded number is the smallest value that the number could have taken prior to being rounded.
• Error interval: An error interval for a number x shows the range of possible values of x. It is written as an inequality a ≤ x < b

Common Mistakes To Avoid

• For example if a measurement of 12 cm has been given to the nearest centimetre assuming the upper bound is 12.4 cm.

3 Quick Questions (With Answers)

More Lessons In This Unit

• Advanced problem solving with rounding, estimation and bounds Study Guide
• Checking and securing understanding of estimating through rounding Study Guide
• Checking and securing understanding of rounding and truncating Study Guide
• Problem solving with rounding, estimation and bounds Study Guide
• Upper and lower bounds Study Guide
• Upper and lower bounds in multiplicative calculations Study Guide
• Using upper and lower bounds practically Study Guide