Problem 2 Graphing Numbers on the Number Line

What is the graph of the numbers − 5 2 , negative , 5 halves , comma   2 , square root of 2 comma  and 2. 6 ¯ ? 2. , 6 bar , question mark

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2. What is the graph of the numbers 3 , square root of 3 comma   − 1. 4 ¯ , negative 1. , 4 bar , comma  and 1 3 ? 1 third , question mark

Problem 3 Ordering Real Numbers

How do 17 square root of 17  and 3.8 compare? Use >  or  < . greater than , or , less than .

Compare both numbers to 16 . square root of 16 .

16 < 17 16  is less than  17 . 3.8 < 16 16 = 4  and  3 . 8 < 4 . table with 2 rows and 4 columns , row1 column 1 , square root of 16 , column 2 less than , column 3 square root of 17 , column 4 16 . islessthan . 17 . , row2 column 1 , 3.8 , column 2 less than , column 3 square root of 16 , column 4 square root of 16 equals 4 . and , 3 . 8 less than 4 . , end table

Therefore, 3.8 < 17 , 3.8 less than square root of 17 comma  or 17 > 3.8 . square root of 17 greater than 3.8 .

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17 ≈ 4.123 3.8 < 4.123 ✓ table with 2 rows and 3 columns , row1 column 1 , square root of 17 , column 2 almost equal to , column 3 4.123 , row2 column 1 , 3.8 , column 2 less than , column 3 4.123 , check mark , end table

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3. 1. How do 26 square root of 26  and 6.25 compare? Use >  or  < . greater than , or , less than .
   2. Reasoning Let a, b, and c be real numbers such that a < b eh less than b  and b < c . b less than c .  How do a and c compare? Explain.