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Multiplication Patterns

Multiplication Patterns. OBJ: Students will solve equations involving Multiplication of Whole Numbers with zero patterns DOL: Students will solve equations through application of Multiplication Patterns of 10, 100, or 1,000 in 5 real world situations. The Job of Zero.

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Multiplication Patterns

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  1. Multiplication Patterns OBJ: Students will solve equations involving Multiplication of Whole Numbers with zero patterns DOL: Students will solve equations through application of Multiplication Patterns of 10, 100, or 1,000 in 5 real world situations

  2. The Job of Zero Zero has an important job to do.

  3. The Job of Zero • Zero is generally used as a PLACE HOLDER. • It changes the name of numbers depending on where it sits and how many there are.

  4. Zero changes names of numbers Can you name these numbers? • 3,210.09 • 321.009 • 321,009 • 32,100.9

  5. Zero changes names of numbers Can you name these numbers? • 3,210.09 • 321.009 • 321,009 • 32,100.9 • Three thousand Two Hundred Ten and Nine Hundredths • Three Hundred Twenty-One and Nine Thousandths • Three Hundred Twenty-One Thousand, Nine • Thirty Two Thousand, One Hundred and Nine Tenths.

  6. Vocabulary Factor 2 x 6= Numbers being multiplied together • Product 12 The answer to a Multiplication problem.

  7. Multiplying with Zero • What is anything times 1? • 1x0=0 • 1x 10=10 • 1x100=100 • 1x1,000=1,000 Anything times 1 equals itself: • 1x0=0 • 1x 10=10 • 1x100=100 • 1x1,000=1,000

  8. Zero Patterns • What is the product of any number times 0? 0x0 10x0 100x0 The product of each of these factors being multiplied together is 0: 0x0=0 10x0=0 100x0=0

  9. Multiplying Zero • Lets look at multiplying Zero at the end of a number: We start with Basic Facts. 2x1=2

  10. Multiplying Zero • Basic Pattern of Facts • Times 10 • Times 100 • Times 1000 • 2 x 1 = 2 • 2 x 10 = 20 • 2 x 100 = 200 • 2 x 1,000 = 2,000 FYI: Follow the zeroes, however many zeroes the factors have at the end, is the same amount of zeroes that should be dropped to the back of the product.

  11. Multiplying Zero • Basic Fact Pattern • Times multiple of 10 • Times multiple100 • Times multiple of 1000 • 5 x 3 = 15 • 5 x 30 = 150 • 5 x 300 =1,500 • 5 x 3,000 = 15,000 FYI: Follow the zeroes, however many zeroes the factors have at the end, is the same amount of zeroes that should be dropped to the back of the product.

  12. Multiplying Zero • Basic Fact Pattern • Times multiple of 10 • Times multiple100 • Times multiple of 1000 • 7 x 6 = 42 • 7 x 60 = 420 • 7 x 600 = 4,200 • 7 x 6,000 = 42,000 FYI: Follow the zeroes, however many zeroes the factors have at the end, is the same amount of zeroes that should be dropped to the back of the product.

  13. Multiplying Zero • Basic Fact Pattern • Times multiple of 10 • Times multiple100 • Times multiple of 1000 • 5 x 3 = 15 • 50 x 3 = 150 • 50 x 30 = 1,500 • 500 x 30 = 15,000 FYI: Follow the zeroes, however many zeroes the factors have at the end, is the same amount of zeroes that should be dropped to the back of the product.

  14. Dropping Zeroes 60 X 20 6 0 X 2 0 1,200 A. Identify Basic Facts C. Drop Zeroes B.Find the Product of Basic Facts by Multiplying

  15. Dropping Zeroes 60 X 20 1,200

  16. Dropping Zeroes 40 X 40 4 0 X 4 0 1600 A. Identify Basic Facts C. Drop Zeroes B.Find the Product of Basic Facts by Multiplying

  17. Dropping Zeroes 40 X 40 1,600

  18. Dropping Zeroes 900 X 50 9 00 X 5 0 45,000 A. Identify Basic Facts C. Drop Zeroes B.Find the Product of Basic Facts by Multiplying

  19. Dropping Zeroes 900 X 50 45,000

  20. Dropping Zeroes 700 X 3 700 X 3 2,100 A. Identify Basic Facts C. Drop Zeroes B.Find the Product of Basic Facts by Multiplying

  21. Dropping Zeroes 700 X 3 2,100

  22. Rounding and Dropping Zeroes 169 X 99 170 x100 17,000

  23. Rounding and Dropping Zeroes 258 X 106 300 x100 30,000

  24. Rounding and Dropping Zeroes 9,134 X 752 9,000 x 800 7,200,000

  25. Game Time Groups of Two or teams of four alternate turns in 2s • Use index cards to create 2 sets of cards each numbered 1-9. (Shuffle Cards- Mix well) • Create a cube out of paper or use pre-labeled cubes: 10, 10, 100, 100, 1000, 1000. • Each person chooses two cards. • Multiply the digits on the two chosen cards to find the product. • Roll the dice. • Multiply the product on #4 by the value the die landed on. • Two members race to find as many factors of the product of #6 as possible in 1-2 minutes. • The rest of the players check for accuracy.

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