
By Sherri Messersmith
Publication by way of Messersmith, Sherri, Perez, Lawrence, Feldman, Robert
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Additional info for Introductory Algebra with P.O.W.E.R. Learning
Example text
These are all of the ways to write 12 as the product of two factors. The factors of 12 are 1, 2, 3, 4, 6, and 12. [YOU TRY 2] Find all factors of 30. We can also write 12 as a product of prime numbers. Definition A prime number is a natural number whose only two different factors are 1 and itself. ) EXAMPLE 3 Is 7 a prime number? Solution Yes. The only way to write 7 as a product of natural numbers is 1 ؒ 7. [YOU TRY 3] Is 19 a prime number? Definition A composite number is a natural number with factors other than 1 and itself.
If we do not have rules to guide us in evaluating expressions, it is easy to get the incorrect answer. Therefore, here are the rules we follow. This is called the order of operations. Procedure The Order of Operations Simplify expressions in the following order: 1) If parentheses or other grouping symbols appear in an expression, simplify what is in these grouping symbols first. 2) Simplify expressions with exponents. 3) Perform multiplication and division from left to right. 4) Perform addition and subtraction from left to right.
5 in. 5 in. 12 in. 12 in. 67) Ralph wants to childproof his house now that his daughter has learned to walk. The round, glass-top coffee table in his living room has a diameter of 36 inches. How much soft padding does Ralph need to cover the edges around the table? 00/ft2, including installation. The layout of the countertop is shown below, where the counter has a uniform width of 214 ft. 00, can she afford her first-choice granite? 72) Jaden is making decorations for the bulletin board in his fifth-grade classroom.