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Mathematics: Applications and Concepts, Course 1 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc., Cincinnati, Ohio 45202 Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240 Solve You started with $20. Examine The answer seems reasonable. To check it, subtract all of the money spent at the mall and confirm that $3 is left over. Answer: $20 Example 1 Identify Prime and Composite Numbers Example 2 Identify Prime and Composite Numbers Example 3 Find Prime Factorization Tell whether 13 is prime, composite, or neither. The factors of 13 are 1 and 13. Answer: Since there are exactly two factors, 1 and the number itself, 13 is a prime number. Tell whether 35 is prime, composite, or neither. Answer: composite Tell whether the number 20 is prime, composite, or neither. The factors of 20 are 1 and 20, 2 and 10, and 4 and 5. Answer: Since 20 has more than two factors, it is a composite number. Tell whether the number 41 is prime, composite, or neither. Answer: prime Find the prime factorization of 96. Write the number that is being factored at the top. Choose any pair of whole number factors of 96. Continue to factor any number that is not prime. Except for the order, the prime factors are the same. Answer: The prime factorization of 96 is Find the prime factorization of 72. Answer: 2 2 2 3 3 Example 1 Write Powers and Products Example 2 Write Powers and Products Example 3 Use Powers to Solve a Problem Example 4 Write Prime Factorization Using Exponents Write using an exponent. Then find the value of the power. The base is 5. Since 5 is a factor four times, the exponent is 4. Answer: 625 Write using an exponent. Then find the value of the power. Answer: 16,384 Write as a product. Then find the value of the product. The base is 8. The exponent is 3. So, 8 is a factor three times. Answer: 512 Write as a product. Then find the value of the product. Answer: 1,296 ELEVATIONS The highest point in Utah is King’s Peak. It stands just a bit higher than meters. What is this elevation? Write as a product. Then find the value of the product. Answer: So, the elevation of King’s Peak is about 4,096 meters. SWIMMING POOL The length of a new swimming pool being built at the community recreation center is listed as feet. What is the length of the new pool? Answer: 64 ft Write the prime factorization of 126 using exponents. The prime factorization of 126 is written as Answer: This can be Write the prime factorization of 144 using exponents. Answer: