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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?

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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? Let’s look at a number line…… 424143

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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? Let’s look at a number line…… 42414341.542.5

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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? Let’s look at a number line…… 42414341.542.5 Any numbers in this range are given as 42

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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? 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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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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