Rounding and Range
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Lesson details
Key learning points
- In this lesson, we will learn about range when it comes to rounding numbers. We will investigate what range a number could be in based upon how it was rounded.
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6 Questions
Q1.
Round 0.0078 to 1 s.f.
0.008
1
1.0000
Q2.
Using a calculator or otherwise, work out the volume of a cube with length 6.5cm. Give your answer to 3 significant figures.
270
274
275.000
Q3.
Find the area of a rectangle with a base of 9.8 cm and a height of 4.8 cm. Give your answer to 3 s.f.
47
47.04
470
Q4.
Round 13490 to 2 s.f.
13
13.000
13400
Q5.
Calculate √45 correct to 3 s.f.
6.70
6.700
6.708
Q6.
Use your calculator to work out the value of:
4
4.0
5.0
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