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Where Are We Now?. We have learned how to: compare and order decimals. estimate by rounding and using compatible numbers. solve equations containing decimals. write numbers in scientific notation. Where Are We Going?. We will: use divisibility rules.
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Where Are We Now? • We have learned how to: • compare and order decimals. • estimate by rounding and using compatible numbers. • solve equations containing decimals. • write numbers in scientific notation.
Where Are We Going? • We will: • use divisibility rules. • write numbers as products of primes. • find the GCF and LCM of pairs of numbers. • compare and order fractions. • simplify fractions. • convert fractions to decimals. • convert decimals to fractions.
Maryland Content Standard 6.5.3:use number theory concepts of primes, factors, multiples, and rules of divisibility to show number relationships
Least Common Multiple A multiple of a number is the product of the number and a whole number.
The first five non-zero multiples of 5 are: 5, 10, 15, 20, 25. We have seen that numbers can have common factors. They also have common multiples.
List the multiples of 4: List the multiples of 6: Common multiples of 4 and 6 include 12 and 24. The LCM is ____________.
Study Tip!!!!! Don’t list too many multiples of one number before beginning the other list. You may write many more than you need
Find the LCM of 8 and 10. 8: 8, 16, 24, 32, 40, 48, 56 10: 10, 20, 30, 40, 50 LCM = __________________
In one part of a musical composition, the triangle player in an orchestra plays once every 12 beats. The tympani player plays once every 9 beats. How often do they play together? (Hint: You need to find the LCM of 12 and 9.)
A Problem for You A local restaurant is offering a free meal to every 25th customer on Valentine’s Day and a bouquet of roses to every 12th customer. Which customer will be the first to get both a free meal and a free bouquet?
Happy Valentine’s Day To ALL of my Sweethearts!