# 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.

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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?

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…… 424143

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…… 42414341.542.5

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…… 42414341.542.5 Any numbers in this range are given as 42

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…… 42414341.542.5 Any numbers in this range are given as 42 Lower bound Upper bound We can write the range as 41.5 ≤ x < 42.5

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…… 480470490 Lower bound Upper bound

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…… 480470490 Lower bound Upper bound 485475 We can write the range as 475 ≤ x < 485

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

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 18 3.) 54 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 54 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210205215 6.) 730 7.) 1500 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210205215 6.) 730725735 7.) 1500 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210205215 6.) 730725735 7.) 150014501550 8.) 6400 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210205215 6.) 730725735 7.) 150014501550 8.) 640063506450 9.) 9700 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210205215 6.) 730725735 7.) 150014501550 8.) 640063506450 9.) 970096509750 10.) 3200

Upper and lower boundaries Questions Find the upper and lower bounds of the following values that were written to 2 s.f Lower boundUpper bound 1.) 6362.563.5 2.) 1817.518.5 3.) 5453.554.5 4.) 560555565 5.) 210205215 6.) 730725735 7.) 150014501550 8.) 640063506450 9.) 970096509750 10.) 320031503250

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