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1. • • The lower bound is the smallest value that would round up to the estimated value. The upper bound is the smallest value that would round up to the next estimated value. They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals.
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     Upper And Lower Bounds - GCSE Maths - Steps & Examples

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   How do you calculate upper and lower bounds?

   • The following method can be used to calculate upper and lower bounds: Identify the place value of the degree of accuracy stated. Divide this place value by \bf {2}. Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound. You can then use these to write an error interval:

   How To Calculate Upper And Lower Bounds - GCSE Maths Guide

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   What is the upper and lower bound of a number?

   • Stating 24 as the upper bound when a number is 20 to the nearest 10 . Remember that there are numbers bigger than 24 that would round down to 20 such as 24.9. The upper and lower bounds (when rounding to a multiple of 10 ) should always end in 5 . For example, Using the place value of 100 when a number is 700 to the nearest 10.

   How To Calculate Upper And Lower Bounds - GCSE Maths Guide

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   What are upper and lower bounds?

   • They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals. For example, A rectangle has a width of 4.3 cm rounded to 1 decimal place and a length of 6.4 cm rounded to 1 decimal place. Let’s look at the length: The smallest number that will round up to give 6.4 is 6.35, this is the lower bound.

   Upper And Lower Bounds - GCSE Maths - Steps & Examples

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   How do you find the upper and lower bounds of a rounded number?

   • In order to find the upper and lower bounds of a rounded number: Identify the place value of the degree of accuracy stated. Divide this place value by 2. Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound. You can then write these as an error interval,

   Upper And Lower Bounds - GCSE Maths - Steps & Examples

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   What if the upper bound is incorrect?

   • Upper bound is incorrect It is very common for students to put an incorrect upper bound E.g. If a length has been rounded to 56 cm to the nearest cm, an error maybe to write the upper bound as 56.4 cm. The upper bound must be bigger than 56.4 cm as 56.49 also rounds down to 56, so does 56.499999999 …. The upper bound in this case is 56.5 cm.

   Upper And Lower Bounds - GCSE Maths - Steps & Examples

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   When should the upper and lower bounds end in 5?

   • The upper and lower bounds (when rounding to a multiple of 10 ) should always end in 5 . For example, Using the place value of 100 when a number is 700 to the nearest 10. It may appear that the number has been rounded to the nearest 100 when in fact it has been rounded to the nearest 10.

   How To Calculate Upper And Lower Bounds - GCSE Maths Guide

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3. thirdspacelearning.com › upper-and-lower-boundsUpper And Lower Bounds - GCSE Maths - Steps & Examples

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   Here we will learn about upper and lower bounds including how to find upper and lower bounds and how to use them to solve problems. There are also upper and lower bounds worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

   • How To Calculate Upper And Lower Bounds - GCSE Maths Guide

     Here we will learn about how to calculate upper and lower...

4. www.bbc.co.uk › bitesize › guidesApproximation - Edexcel Upper and lower bounds - BBC

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   The lower bound is the smallest value that would round up to the estimated value. The upper bound is the smallest value that would round up to the next estimated value. For...

5. thirdspacelearning.com › gcse-maths › numberHow To Calculate Upper And Lower Bounds - GCSE Maths Guide

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   Here we will learn about how to calculate upper and lower bounds, including finding the place value of the given degree of accuracy, calculating upper and lower bounds and writing error intervals. There are also how to calculate upper and lower bounds worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where ...

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7. mmerevise.co.uk › gcse-maths-revision › upper-andUpper and Lower Bounds | Questions and Revision | MME

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   Upper and lower bounds are the upper and lower values that a number can have as a result of rounding or approximating that number. There are 3 key skills that you need for upper and lower bound questions.

8. www.savemyexams.com › gcse › mathsBounds | AQA GCSE Maths Revision Notes 2022 - Save My Exams

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   Mar 16, 2023 · You can use bounds to calculate the level of accuracy of a calculation. This can be used to decide how to round your answer. e.g. If the lower bound of an value is 8.33217... and the upper bound is 8.33198... The true value is between 8.33217... and 8.33198... Both bounds round to 8.332 to 4sf.

9. www.bbc.co.uk › bitesize › guidesApply and interpret upper and lower bounds - Approximation ...

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   What are the upper and lower bounds of the measurements and how should they be combined to achieve the correct outcomes? In this example, the maximum area is found by multiplying the two upper...

10. www.bbc.co.uk › bitesize › guidesApproximation - AQA Upper and lower bounds - Higher - BBC

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    Upper and lower bounds - Higher. When more than one value in a calculation has been rounded, the upper or lower bounds for each value should be used in the calculation to find the greatest or...