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Find the square of the number. 1. 14. 2. 16. –. –. 3. 2.5. 19. 8. 4. 5. 21. 6. 25. ?. ?. Complete the statements using <, >, or =. 5. A square room has a side length of 25 feet. What is its area?. The positive and negative square. +. a. +. 6. . 36. =. –. –.

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  1. Find the square of the number. 1. 14 2. 16

  2. – – 3. 2.5 19 8 4. 5 21 6 25 ? ? Complete the statements using <, >, or =.

  3. 5. A square room has a side length of 25 feet. What is its area?

  4. The positive and negative square + a. + 6  36 = – – are 6 and – 6. roots of 36 b. 7  49 = – – c.  = 2 4 EXAMPLE 1 Find square roots Evaluate the expression. The positive square root of 49 is 7. The negative square root of 4 is – 2.

  5. 1. 4.   81 9 – – 2. 25 + –  64 3. EXAMPLE 1 for Example 1 Find square roots GUIDED PRACTICE Evaluate the expression. 

  6. The top of a folding table is a square whose area is 945 square inches. Approximate the side length of the tabletop to the nearest inch. You need to find the side length sof the tabletop such that s945. This means that sis the positive square root of 945. You can use a table to determine whether 945 is a perfect square. = 2 EXAMPLE 2 Approximate a square root FURNITURE SOLUTION

  7. < 31 30 < 900 945 961 945 < <     EXAMPLE 2 Approximate a square root As shown in the table,945 is not a perfect square. The greatest perfect square less than 945 is 900. The least perfect square greater than 945 is 961. 900 < 945 < 961 Write a compound inequality that compares 945with both 900 and 961. Take positive square root of each number. Find square root of each perfect square.

  8. The average of 30 and 31 is 30.5 and (30.5)2 = 930.25. Because 945 > 930.25, is closer to 31 than 30. ANSWER The side length of the tabletop is about 31 inches. EXAMPLE 2 Approximate a square root

  9. – 7. 5. 6. 32 103 48    EXAMPLE 2 for Example 2 Approximate a square root GUIDED PRACTICE Approximate the square root to the nearest integer.

  10. Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , , – . Integer? Real Number? Rational Number? Irrational Number? Whole Number?    24 81 100 Number  Yes No Yes No No 24 Yes Yes No Yes Yes  100 Yes Yes No Yes No 81 – EXAMPLE 3 Classify numbers

  11. , 4 4 , , Order the numbers from least to greatest: – 3 3 . , –2.5 . 13 9 5 5 13 9       ANSWER Read the numbers from left to right: –2.5, – , , , EXAMPLE 4 Graph and order real numbers SOLUTION Begin by graphing the numbers on a number line.

  12. 9 9. Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , 5.2, 0, , 4.1, Then order the numbers from least to greatest. 2 – 9 – 7 20   2 –  20 , 0 , , 4.1 – , 5.2. , 7  EXAMPLE 4 for Examples 3 and 4 Graph and order real numbers GUIDED PRACTICE

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