Upper and Lower Bound

Maths

Accuracy and estimation

Write down an inequality expressing the lower and upper bound for 23.071kg to three decimal places

Write down an inequality expressing the lower and upper bound for 0.3m given to 1 significant figure

Write down an inequality expressing the lower and upper bound for 0.023 given to 2 significant figure

The length of a football field is 500m to the nearest 10m. Jacob says the lower bound is 450m and the upper bound is 550m. Is he correct? Give a reason for your answer.

The mass of a loaf of bread is given as 1.7kg to the nearest 0.1kg. Write an inequality expressing the upper and lower bound of the mass.

A piece of string is measured at 1.57m to two decimal places. Write an inequality expressing the lower and upper bound within which l, the actual length of string lies.

Student A said that the number rounds to 5,000, 000

Student B said the number rounds to 5,500,000

A teacher asked two students to round the number 5,469,704. Their answers are below. Which student(s) rounded the number correctly? Explain your answer.

I think about a number and rounds it to the nearest hundred. My answer is 5300. What is the greatest possible number I could have thought of?

Halima is planning a concert to raise money for charity. Entry to the concert is £5.00. The number of people attending the concert is 700 to the nearest hundred. What is the lowest possible amount of money she raised for charity?

The population of Northern Ireland is 1.9 million, to the nearest hundred thousand. What is the lowest possible number of people that live in N.Ireland?

The population of Northern Ireland is 1.9 million, to the nearest hundred thousand. What is the greatest possible number of people that live in N.Ireland?

The population of Birmingham is 1.1 million rounded to nearest hundred thousand. What is the range of values for the population of Birmingham?

Upper and Lower Bound

Lesson outcome