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Unit 6: Lesson 1 “Perfect Squares” 1. Suppose the areas are equal… Name:____________________ 2. Evaluate! How long would the sides of the square have to be? a) a) 1681 = ______________ 9 4 b) 256 = ______________ c) 1521 = ______________ d) 8464 = ______________ ? b) 16 4 ? c) 45 3. Decimals happen! (Round your answer to the nearest hundredth) 20 ? a) 2 = b) 40 = c) 96 = d) 96 24 ? e) 147 d) 147 = 18 ? 1 4. Complete the definition: Vocabulary Word A number is called a perfect square if… 5. Complete the table. Perfect Square Square Root Multiplication Fact 81 324 1600 576 289 9025 32400 1,582,564 6. Is it a perfect square? Cross out the numbers that are not perfect squares. Write a multiplication fact for the numbers that are. 441 1,225 137 169 625 2,000 5,184 4,000 21,316 794 409,600 1681 2 7. Give us 20!!! List the first 20 perfect square numbers. 8. Think about it…. a) Find the smallest perfect square that is greater than 150. b) Find the smallest perfect square that is greater than 2,000. Answer: ________________ Answer: ________________ c) The number 13,000 is between which perfect squares? d) The number 750 is between which perfect squares? _____________ < 13,0000 < _____________ _____________ < 750 < _____________ e) What is the largest perfect square under 500? f) Find the largest perfect square that is less than 100,000. Answer: ________________ Answer: ________________ 3 9. Evaluate the following square roots. Round your answers to the nearest hundredth. a) 2 b) 37 c) 64 d) 1000 e) 32 42 f) 52 122 g) 412 402 h) 612 602 10a) Be careful with the parenthesis!!! Evaluate 2 80 2 65 18 Answer: __________________ 10b) Close the parenthesis where the square root ends. Evaluate 400 76 6 Answer: __________________ 11. Calculator Practice a) Evaluate the following expressions for x=4. 10 x 9 12 d) 4 25x 28 Scrambled answers: 20 x 2 b) e) 2 19 x 32 x 8 6 8 12 c) x 21 x 3 f) 64 76 3x 3 4