Help With Upper & Lower Bounds

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SUMMARY

This discussion focuses on the mathematical concepts of upper and lower bounds, specifically in the context of measurement accuracy. The user presents several problems related to weights and dimensions, providing their answers for verification. Key points include the correct identification of bounds for a bag of potatoes (24.5 kg to 25.5 kg), a line (62.5 cm to 63.5 cm), and the perimeter of a rectangular field (916 m). However, the user struggles with significant figures in problem 4, indicating a gap in understanding that needs addressing.

PREREQUISITES
  • Understanding of upper and lower bounds in measurements
  • Knowledge of significant figures in mathematical calculations
  • Basic geometry concepts related to perimeter and area
  • Familiarity with rounding rules for measurements
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  • Study the concept of significant figures in detail
  • Practice calculating upper and lower bounds with various examples
  • Learn how to derive perimeter and area from given dimensions
  • Explore rounding rules and their applications in real-world measurements
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Students preparing for mathematics tests, educators teaching measurement concepts, and anyone looking to improve their understanding of upper and lower bounds and significant figures.

tomtomtom1
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Hi all

I am studying for a maths test regarding upper and lower bounds, i have found a list of questions which i have attempted, i wa hoping someone could confirm if my answers are correct.

1. The weight of a bag of potatoes is 25 kg, correct to the nearest kg.
(a) Write down the smallest possible weight of the bag of potatoes (My answer = 24.5kg)
(b) Write down the largest possible weight of the bag of potatoes (My answer = 25.5kg)

2. The length of a line is 63 centimetres, correct to the nearest centimetre.
(a) Write down the least possible length of the line (My answer = 62.5cm)
(b) Write down the greatest possible length of the line (My answer =63.5cm )

3. A field is in the shape of a rectangle.
The length of the field is 340 m, to the nearest metre.
The width of the field is 117 m, to the nearest metre.
Calculate the upper bound for the perimeter of the field (My answer = 916m)

4. The length of a rectangle is 30 cm, correct to 2 significant figures.
The width of a rectangle is 18 cm, correct to 2 significant figures.
(a) Write down the upper bound of the width (My answer = I DO NOT KNOW)
(b) Calculate the upper bound for the area of the rectangle (My answer = I DO NOT KNOW)

5.The length of the rectangle is 35 cm correct to the nearest cm.
The width of the rectangle is 26 cm correct to the nearest cm.
Calculate the upper bound for the area of the rectangle (My answer = 940.75)
 
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Those are all correct, except, of course, for 4. You appear to be saying you do not know what "significant figures" means. If problem 4 had said "30 cm to the nearest cm" and "18 cm to the nearest cm" would you be able to do it?
 
I would, the answer would be 29.5cm- 30.5cm & 17.5cm - 18.5cm,
 

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