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Approximation: Quiz 5 - Answers
Approximation: Quiz 5 - Answers
1)
a) LB = 12.5 m
UB = 13.5 m
b) 12.5 m ≤ l < 13.5 m
2)
a) LB = 28,500
UB = 29,500
b) 28,500 ≤ a < 29,500
3) LB = 175 cm
UB = 185 cm
4) 23.65 ≤ n < 23.75
5) LB = 6,725
UB = 6735
6) Min length = 172.5 cm
Max length = 177.5 cm
7) 8,725 ≤ c < 8,775
8) Min = 1.625 m
Max = 1.675 m
a) LB = 12.5 m
UB = 13.5 m
b) 12.5 m ≤ l < 13.5 m
2)
a) LB = 28,500
UB = 29,500
b) 28,500 ≤ a < 29,500
3) LB = 175 cm
UB = 185 cm
4) 23.65 ≤ n < 23.75
5) LB = 6,725
UB = 6735
6) Min length = 172.5 cm
Max length = 177.5 cm
7) 8,725 ≤ c < 8,775
8) Min = 1.625 m
Max = 1.675 m
Working
Questions
1) A ball of string has a length of 13 m to the nearest metre.
a) What is the lower and upper bound for the length of the string?
b) Write out the error interval with l as the length of the string.
2) 29,000 people attend a football match to the nearest thousand.
a) What is the lower and upper bound for the number of people attending the football match?
b) Write out the error interval with a as the attendance for the football match.
3) I am 180 cm to the nearest 10 cm. What is the lower and upper bound for my height?
4) A number that has been rounded to 1 decimal place is 23.7. Write down the error interval with the letter n representing the number.
5) A number that has been rounded to 3 significant figures is 6,730. What is the upper and lower bound for this number?
6) My rug has a length of 175 cm to the nearest 5 cm. What is the minimum and maximum length of the rug?
7) The café at a football game sells 8,750 cups of tea to the nearest 50 cups. What is the error interval for the number of cups of tea that they sell? Let c represent the number of cups of tea.
8) Jeremy is 1.65 m to the nearest 5 cm. What is the minimum and maximum height of Jeremy? Give your answer in metres.
1) A ball of string has a length of 13 m to the nearest metre.
a) What is the lower and upper bound for the length of the string?
b) Write out the error interval with l as the length of the string.
2) 29,000 people attend a football match to the nearest thousand.
a) What is the lower and upper bound for the number of people attending the football match?
b) Write out the error interval with a as the attendance for the football match.
3) I am 180 cm to the nearest 10 cm. What is the lower and upper bound for my height?
4) A number that has been rounded to 1 decimal place is 23.7. Write down the error interval with the letter n representing the number.
5) A number that has been rounded to 3 significant figures is 6,730. What is the upper and lower bound for this number?
6) My rug has a length of 175 cm to the nearest 5 cm. What is the minimum and maximum length of the rug?
7) The café at a football game sells 8,750 cups of tea to the nearest 50 cups. What is the error interval for the number of cups of tea that they sell? Let c represent the number of cups of tea.
8) Jeremy is 1.65 m to the nearest 5 cm. What is the minimum and maximum height of Jeremy? Give your answer in metres.