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Multiplication Whole Numbers II: Part 2 of 2

Multiplication Whole Numbers II: Part 2 of 2. Teacher’s Quality Grant. Benchmark. MA.4.A.1.1 Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease.

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Multiplication Whole Numbers II: Part 2 of 2

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  1. Multiplication Whole Numbers II:Part 2 of 2 Teacher’s Quality Grant

  2. Benchmark • MA.4.A.1.1 Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease. • MA.4.A.1.2 Multiply multi-digit whole numbers through four digits fluently, demonstrating understanding of the standard algorithm, and checking for reasonableness of results, including solving real-world problems.

  3. Traditional Method 2X3=6 2X1=2 2 1 3 2X2=4 X 3 3 2 _______ 4 2 6 3X3=9 Slide the results over 1 significant place to the left 3X1=3 6 3 9 Regular Addition 3X2=6 + Slide the results over 2 significant places to the left 6 3 9 ___________ 3X3=9 7 0 7 1 6 3X1=3 3X2=6

  4. Multiplication by Partitioning 2 1 3 X 7 _______ ?

  5. Multiplication by Partitioning 200 X 7 = 1400 Partition the number in its significant digits and multiply 10 X 7 = 70 3 X 7 = 21 213 X 7 Add the results of the previous multiplications _______ 1491 1400 Regular Addition 70 + 21 _______ This should be your result 1491

  6. Rectangular Method for Multiplication 2 4 5 X 3 _______ ?

  7. Rectangular Method for Multiplication (cont.) 245 X 3 Mach the number of digits by adding zero if necessary 245 X 003 Add diagonally 2 4 5 X 2 4 5 Add diagonally 0 0 0 X 3 0 _______ 0 0 0 Add diagonally 0 0 0 7 3 5 0 0 0 0 1 0 1 3 6 2 5 7 3 5 This should be your result

  8. Rectangular Method for Multiplication (cont.) 2 1 3 X 7 _______ ?

  9. Rectangular Method for Multiplication (cont.) 213 X 7 Mach the number of digits by adding zero if necessary 213 X 007 Add diagonally Add diagonally 2 1 3 2 1 3 X Add diagonally X 7 0 0 0 0 _______ 0 0 0 Add diagonally 1 4 9 1 0 0 0 0 0 0 0 0 1 2 7 1 4 7 1 4 9 1 This should be your result

  10. Other Multiplication Methods 2 1 3 X 3 3 2 _______ ?

  11. Triple-Digit Multiplication • Three-digit multiplied by a one-digit number (no carrying):123 x 3 = ?(1) 3 x 3 = 9 (the ones)(2) 2 x 3 = 6 (the tens)(3) 1 x 3 = 3 (the hundreds)Answer: 123 x 3 = 369

  12. Triple-Digit Multiplication • Three-digit number multiplied by a two-digit number (no carrying):424 x 12 = ?First Part (424 x 2):(1) 4 x 2 = 8(2) 2 x 2 = 4(3) 4 x 2 = 8Answer: 424 x 2 = 848 Second Part (424 x 1):(1) 4 x 1 = 4(2) 2 x 1 = 2(3) 4 x 1 = 4Answer: 424 x 1 = 424 Third Part (848 + 4240 -- We added the zero):848 + 4240 = 5,088

  13. Triple-Digit Multiplication • Three-digit number multiplied by a three-digit number (no carrying):213 x 332 = ?First Part (213 x 2):(1) 2 x 2 = 4(2) 1 x 2 = 2(3) 3 x 2 = 6Answer: 213 x 2 = 426 Second Part (213 x 3):(1) 2 x 3 = 6(2) 1 x 3 = 3(3) 3 x 3 = 9Answer: 213 x 1 = 639 Third Part (213 x 3):(1) 2 x 3 = 6(2) 1 x 3 = 3(3) 3 x 3 = 9Answer: 213 x 1 = 639 Third Part (426 + 6390 + 63900 -- We added the zeros):426 + 6390 + 63900 = 70,716

  14. Multiplication Problem • Utilize all of the already explained multiplication methods to solve the problems presented in the next slide: Examples of methods: • Traditional method • Partitioning method • Rectangular method

  15. Multiplication Problems 524 185 X 23 X 268 _______ _______ ? 134 ? X 4 _______ ?

  16. Word Problems • Gather in groups of 2 and discuss the best strategy to solve the following word problems

  17. Word Problem 1 • Mommy bought four egg cartons, and each had six eggs.  Two of the eggs were bad. How many good eggs did Mommy get?

  18. Word Problem 2 • A museum sells bricks with inscribed names. A plaza brick costs $200.00 and a walkway brick costs $100.00. Suppose 7 plaza bricks and 12 walkway bricks are sold. How much more money is made on the plaza bricks than on the walkway bricks?

  19. Multiplication Problems In the following slides the highlighted column on the right, displays the total for each row. The highlighted row on the bottom, displays the total for each column. Fill in the missing boxes to complete the puzzle. All missing numbers are between 0 and 9.

  20. Multiplication Problems

  21. Multiplication Problems

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