Upper and lower boundaries

# Upper and lower boundaries

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## Upper and lower boundaries

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1. Upper and lower boundaries Sometimes you may be given a value that has been rounded. You will have to decide on the upper and lower boundaries of that value. Eg. An answer is given as 42 to 2 s.f. What are the upper and lower boundaries?

2. Upper and lower boundaries Sometimes you may be given a value that has been rounded. You will have to decide on the upper and lower boundaries of that value. Eg. An answer is given as 42 to 2 s.f. What are the upper and lower boundaries? Let’s look at a number line…… 41 42 43

3. Upper and lower boundaries Sometimes you may be given a value that has been rounded. You will have to decide on the upper and lower boundaries of that value. Eg. An answer is given as 42 to 2 s.f. What are the upper and lower boundaries? Let’s look at a number line…… 41 41.5 42 42.5 43

4. Upper and lower boundaries Sometimes you may be given a value that has been rounded. You will have to decide on the upper and lower boundaries of that value. Eg. An answer is given as 42 to 2 s.f. What are the upper and lower boundaries? Let’s look at a number line…… Any numbers in this range are given as 42 41 41.5 42 42.5 43

5. Upper and lower boundaries We can write the range as 41.5 ≤ x < 42.5 Sometimes you may be given a value that has been rounded. You will have to decide on the upper and lower boundaries of that value. Eg. An answer is given as 42 to 2 s.f. What are the upper and lower boundaries? Let’s look at a number line…… Any numbers in this range are given as 42 41 41.5 42 42.5 43 Lower bound Upper bound

6. Upper and lower boundaries Eg. An answer is given as 480 to 2 s.f. What are the upper and lower boundaries? Let’s look at a number line…… 470 480 490 Lower bound Upper bound

7. Upper and lower boundaries We can write the range as 475 ≤ x < 485 Eg. An answer is given as 480 to 2 s.f. What are the upper and lower boundaries? Let’s look at a number line…… 470 475 480 485 490 Lower bound Upper bound

8. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f 1.) 63 2.) 18 3.) 54 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

9. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 3.) 54 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

10. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

11. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

12. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

13. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 205 215 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

14. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 205 215 6.) 730 725 735 7.) 1500 8.) 6400 9.) 9700 10.) 3200

15. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 205 215 6.) 730 725 735 7.) 1500 1450 1550 8.) 6400 9.) 9700 10.) 3200

16. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 205 215 6.) 730 725 735 7.) 1500 1450 1550 8.) 6400 6350 6450 9.) 9700 10.) 3200

17. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 205 215 6.) 730 725 735 7.) 1500 1450 1550 8.) 6400 6350 6450 9.) 9700 9650 9750 10.) 3200

18. Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower bound Upper bound 1.) 63 62.5 63.5 2.) 18 17.5 18.5 3.) 54 53.5 54.5 4.) 560 555 565 5.) 210 205 215 6.) 730 725 735 7.) 1500 1450 1550 8.) 6400 6350 6450 9.) 9700 9650 9750 10.) 3200 3150 3250