Upper and Lower Bound
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Lesson details
Key learning points
- In this lesson, we will learn what upper and lower bound mean and how this links with range.
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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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6 Questions
Q1.
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.
Neither students are correct.
Student A said that the number rounds to 5,000, 000
Student B said the number rounds to 5,500,000
Q2.
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?
5250
5299
5399
Q3.
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?
£3,542
£32.50
3,745
Q4.
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?
1,849,999
1,899,000
1,949,999
Q5.
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?
1,850,000
1,899,999
1,949,000
Q6.
The population of Birmingham is 1.1 million rounded to nearest hundred thousand. What is the range of values for the population of Birmingham?
1,050,000 ≤ x 1,100,000
1,050,000 ≤ x <1,099,000
6 Questions
Q1.
Write down an inequality expressing the lower and upper bound for 23.071kg to three decimal places
23.0705 ≤ k < 23.0714
23.0705 ≤ k ≤ 23.0715
23.0710 ≤ k < 23.0715
Q2.
Write down an inequality expressing the lower and upper bound for 0.3m given to 1 significant figure
0.25 < m ≤ 0.35
0.25 ≤ m ≤ 0.35
0.25 ≤ m < 0.349999
Q3.
Write down an inequality expressing the lower and upper bound for 0.023 given to 2 significant figure
0.0224 ≤ x < 0.0235
0.0225 ≤ x ≤ 0.02349
LB = 0.0225 , UB = 0.0235
Q4.
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.
Yes, he is correct
Q5.
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.
1.645kg ≤ m ≤ 1.745kg
1.649kg ≤ m < 1.749kg
1.65kg ≤ m ≤ 1.75kg
Q6.
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.
1.564999 ≤ l ≤1.574999
1.565 ≤ l < 1.570
1.565 ≤ l ≤1.575