1)

a) LB = 12.5 m

UB = 13.5 m

b) 12.5 m ≤

2)

a) LB = 28,500

UB = 29,500

b) 28,500 ≤

3) LB = 175 cm

UB = 185 cm

4) 23.65 ≤

5) LB = 6,725

UB = 6735

6) Min length = 172.5 cm

Max length = 177.5 cm

7) 8,725 ≤

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 m2)

a) LB = 28,500

UB = 29,500

b) 28,500 ≤

*a*< 29,5003) LB = 175 cm

UB = 185 cm

4) 23.65 ≤

*n*< 23.755) LB = 6,725

UB = 6735

6) Min length = 172.5 cm

Max length = 177.5 cm

7) 8,725 ≤

*c*< 8,7758) 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.