Reflection Today Long Division Practice Every house is built by - PDF document

Reflection Today  Long Division Practice Every house is built by someone, but God is the builder of everything.  The Sieve Hebrews 3:4  Number Theory » Terminology and notation » Primes and composites  Divisibility tricks Don’t Forget Long Division is not optional  Pick up today       2 4 3 2 2 3 6 5 2 23 x x x x x x » Graded stuff » RQ 5.1-5.2 » Sieve  Turn in today »   Exam 2 November 10 th Number Theory  Counting Number properties and relationships  Fundamentals needed for fraction arithmetic  Teacher knowledge required beyond student tasks

Definition Equivalent Statements (Assume we are talking about counting 3|21 means numbers until further notice.)  3 divides 21 If ka = b , then a divides b , written a | b .  3 is a factor of 21  3 is a divisor of 21  21 is a multiple of 3 Test Questions Notation     3 5 8 2 7 5 Which of the following means the same as n | m ?   13  a. n  m has remainder 0. 13 N N b. n = km for some counting number k . 6 30 c. m = kn for some counting number k . Sieve Number Theory  In chemistry, all compounds are made up of elements.  In number theory, all counting numbers are products of prime numbers.

Reflection Today  Stumpers ‘Not by might nor by power, but by my Spirit,’ says the Lord Almighty  Divisibility Zechariah 4:6b » Tests for 2, 3, 4, 5, 8, 9, 10, 11, & others » Some properties of divisibility  Quiz Today’s Objective Don’t Forget  Pick up today 137,598,264 » Graded stuff » Practice 5.2 » Study Questions » Primary 4A p. 25  Turn in today » Long Division HW » RQ 5.1 & 5.2  Exam 2 November 9 th Divisibility Properties Stumpers 1. If a divides b and a divides c , then… 2. If a divides b but does not divide c , then… 3. If a divides b , then… 4. If a divides b and b divides c , then…

From your reading Testing for Divisibility  Multiples of 2… Algebraic proof bottom of page 111.  Multiples of 4…  Multiples of 8…  Multiples of 5…  Multiples of 3…  Multiples of 9…  Multiples of 10…  Multiples of 11… Casting out 9’s Divisible by 11? Is 9 a factor of 423? 1. 187 What about 426? 2. 145 236,059,725 3. 3091 Make this a multiple of 9: 473,02__ 4. 9,372,308 5. 6,987,308 Today’s Objective Practice #1 137,598,264

The End of Section 5.2 Why does the 9 test work? Finish homework from section 5.2 for next time.