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September 09, 2011 If one advances confidently in the directions of his dreams, and endeavors to live the life which he has imagined, he will meet with a success unexpected in common hours. -- Henry David Thoreau September 09, 2011 Challenge Problem: Elizabeth calls two members of her softball team to schedule a practice. Each of those team members calls three other team members. Then, each of those members calls two more members. How many team members are called? Do not count Elizabeth. September 09, 2011 September 09, 2011 Review: Estimate each quotient using compatible numbers. 1. 24.8 ÷ 4.9 2. 103.8 ÷ 13.2 3. 128.62 ÷ 9.86 4. 41.77 ÷ 6.07 September 09, 2011 Vocabulary: -Identity Property of Multiplication : The product of 1 and a number is that number ex) 1 x 5 = 5 1xa=a -Zero Property : Product of 0 and any number is 0 ex) 5 x 0 = 0 ax0=0 -Commutative Property of Multiplication : Changing the order of factors does not change the product. ex) 2 x 3 = 3 x 2 -Associative Property of Multiplication : Changing groupings of factors does not change the product ex) (2 x 3) x 4 = 2 x (3 x 4) 6x4 2 x 12 24 24 What is the missing number? Which property is shown? 39.) 3.6 x _____ = 0 40.) ______ x 1 = 25.5 41.) ______ x 4 = 4 x 3 42.) (2.5 x ____ ) x 2.3 = 2.5 x (1.4 x 2.3) - September 09, 2011 Objectives: 1. Multiply decimals 2. Divide decimals September 09, 2011 Multiplying: 0.2 x 0.7 Step 1: Multiply the numbers as whole numbers 2x7= Step 2: Locate the number of decimals in the original problem. That will be the how many numbers you will have behind the decimal point in your answer! 3.) 0.3 x 0.5 5.) 8.7 x 0.45 September 09, 2011 Dividing Decimals: Step 1: Rewrite the divisor as a whole number ***Remember to multiply the divisor and dividend by the same power of 10*** 17.) 1.89 25.) 5.103 0.72 0.054 19.) 8.9 27.) 186.9 0.8 592 September 09, 2011 Question: Can you divide by zero? Hint: Look at these similar problems to help you decide: a) 6 ÷ 3 = 2 b) 6 ÷ 0 = ___ 3x2=6 0 x ___ = 6 Answer: There is no value for the __ in the above problem. Division by zero is undefined, so you can't do it. September 09, 2011 1. In your notebooks, explain how to multiply and divide by decimals. 2. Quiz 3. Classwork/Homework: Pg. 20-22: 2-20 (skip 10-14) Evens Only, 70-77 All