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Math 9/20-9/24

Math 9/20-9/24. Pure mathematics is, in its way, the poetry of logical ideas.  ~Albert Einstein. Dividing Decimals. Work out the problem. Don’t just guess…. Is your answer reasonable?. 35.98 ÷ 8 A)449 B)4.49 C)44.9 D).44 Check with a partner. Do you both have the same answers?. 89.3÷5

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Math 9/20-9/24

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  1. Math 9/20-9/24 Pure mathematics is, in its way, the poetry of logical ideas.  ~Albert Einstein

  2. Dividing Decimals Work out the problem. Don’t just guess…. Is your answer reasonable? • 35.98 ÷ 8 • A)449 • B)4.49 • C)44.9 • D).44 Check with a partner. Do you both have the same answers? • 89.3÷5 • 17.86 • 1.786 • 1,786 • .178 Why are the other answers not reasonable?

  3. Repeating Decimals… Solve…

  4. Multiplying Decimals Re-write the problem so it is up and down... Are your numbers neat and lined up? • 45.9 * 3.5 • A).160 • B)16,065 • C)160.65 • D)16.06 • 6.89 * 5.6 A)3,858 B)385.8 C)3.858 D)38.58

  5. Multiplying Decimals…

  6. Problem Solving Read the problem Write the key words Decide which operation(s) you will use Solve the problem

  7. Re-write the problem on your paper. Make sure that your problem is lined up so you can work it out. Is your answer reasonable? If you did not get the answer right, figure out why. Problem Solving

  8. Is all the information needed? What are the key words? What operation will you use? What strategy will you use to solve the problem? Table Chart Illustration Logic Problem Solving

  9. Read the problem. Write down the key words. Will you have more than one operation? If so, what are they? Use a strategy and show it on another piece of paper. Multi-Step Word Problems

  10. Nettie is still shopping… • Which of the following items can Nettie buy with her remaining money? Use the answer to the last problem to solve this one. • A) Hair products for $16.07 • B) Shoes for $34.99 • C) Books for $14.99 • D) Snacks for her friends for $15.95

  11. Place Value… The value of a number is what it is worth. The place value of a number is where it “lives”. • Write a 7 digit number that has a: • 6 in the ones place • 9 in the thousandths place • 4 in the tenths place • 2 in the thousands place • 0 in all other places • Write a 7 digit number that has a: • 9 in the ones place • 2 in the thousandths place • 8 in the tenths place • 4 in the thousands place • 0 in all other places Compare the answers to the problems above. <,>,=

  12. Place Value…

  13. Read the problem Write down the key words. How many steps will you have to solve? Can you substitute smaller numbers to figure out the operations? How can this problem be related to a real-world activity? Kim sold moon rocks after returned from space. She decided to sell the rocks in bags of 6 and 12. Which bag had the best price per moon rock? Bag A-6 for $5.99 Bag B-12 for $12.36 Problem Solving

  14. Ordering Decimals…

  15. More ordering decimal practice…

  16. Compare the pairs of numbers using <,>, and = Check EACH value from left to right. When you are done, work on the comparing decimals fortune teller. • 6.897_____6.876 • 0.7_____0.007 • 45.67____45.87 • 9.456_____9.566 • .098___.0098 • .234____.0234

  17. Order the following decimals from LEAST TO GREATEST… What is your strategy? • 0.909, 0.99, 0.9, 1.09, 0.922 • 0.567, 0.455, 1.678,.0567, .5 • 6.14, 6.34, 6.234, 6.6, 6.303

  18. Use the model to solve the problem: __________________ X .3 =________________

  19. Use the Models to show the solution of 0.4 x 0.7 _________________ X ___________________ = ______________________ Use 3 hundreds grids to solve this problem.

  20. Which equation continues the pattern? • Look at the pattern: • 905 x 1 = 905 • 905 x .1 = 90.5 • 905 x 0.01= 9.05 • 905 x 0.001= .905 • 905 x 0.01 = 9.05 • 905 x 0.0001= .0905 • 905 x 10= 9,050

  21. Quotient questions… Which operation gives a quoteint of 20,000? Which operation gives a quotient of 40,000? • A) 2 ÷ 0.01 • B) 200 ÷ 0.01 • C) 2,000 ÷ 0.01 • D) 20,000 ÷ 0.01 • A) 4 ÷ 0.01 • B) 400 ÷ 0.01 • C) 4,000 ÷ 0.01 • D) 40,000 ÷ 0.01

  22. Function Tables What is the rule for the following function table? What is the rule for the following function table?

  23. Function Table Extension…

  24. More function table practice….

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