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Factors and Monomials Lessons 4.1, SOL 7.5 We will learn to identify factors of numbers, and decide if an expression is a monomial.

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REMEMBER: What is a factor? A factor is a number that is multiplied to get a product. Make a factor tree 48 6868 23 2 4 2 2

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Why should we know this? There are 72 people coming to your wedding. The small tables could seat 6; while the large tables seat 10 people. Which size table should you use so all the tables are filled evenly? 72 ÷ 6 = 12 72 ÷ 10 = 7.2 Use the small tables!

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Why should we know this? There are 48 students in a marching band. For the halftime show we want to put them in equal rows. How many students should be in each row? 48 ÷ 2 = 24 48 ÷ 3 = 16 48 ÷ 4 = 12 48 ÷ 5 = 9.8 48 ÷ 6 = 8

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Rules of Divisibility… How do you know if a number is divisible by 5 ? 65? 132? 1,890? A number is divisible by 5 if the ones digit is zero or five

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Rules of Divisibility… How do you know if a number is divisible by 10 ? 120? 940? 1,241? A number is divisible by 10 if the ones digit is a zero

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Rules of Divisibility… How do you know if a number is divisible by 2 ? 54? 125? 1,238? A number is divisible by 2 if the ones digit is divisible by two

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Rules of Divisibility… How do you know if a number is divisible by 3 ? 72? 169? 1,453? A number is divisible by 3 if the sum of its digits is divisible by three 7+2=9 9÷3=3 1+6+9=16 16÷3=5.3333 1+4+5+3=12 12÷3=4

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Rules of Divisibility… How do you know if a number is divisible by 6 ? 48? 351? 1,920? A number is divisible by 6 if the number is divisible by two and three 8÷2=4 YES! 4+8=12 12÷3=4 YES! 1÷2=0.5 NO! 3+5+1=9 9÷3=3 YES! 0÷2=0 YES! 1+9+2+0=12 12÷3=4 YES!

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What is a monomial? 8 x 8x A monomial is a number, a variable, or a product of a number and/or a variable. 18 18-x 18y 18+y

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= (x + 6) (x + 2) 1. x2 +8x x2 +16x + 48 = (x + 12) (x + 4)

= (x + 6) (x + 2) 1. x2 +8x x2 +16x + 48 = (x + 12) (x + 4)

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