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Everyday Mathematics Lattice Multiplication

Everyday Mathematics Lattice Multiplication. Lattice Multiplication. Lattice multiplication involves : Using basic facts knowledge; Organizing a multiplication problem using a grid based on place value; Using the distributive property; and

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Everyday Mathematics Lattice Multiplication

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  1. Everyday MathematicsLattice Multiplication

  2. Lattice Multiplication Lattice multiplication involves: • Using basic facts knowledge; • Organizing a multiplication problem using a grid based on place value; • Using the distributive property; and • Following several well-defined steps to find the product. Everyday Mathematics

  3. Lattice Multiplication Solve: 48 × 36 Since 48 × 36 is a two-digit number times a two-digit number, we first draw a 2 × 2 lattice box. We carefully draw diagonals from the top right corner to the bottom left corner, drawing the diagonals one box at a time. We write one factor (48) across the top. And we write the other factor (36) down the right side. 4 8 3 6 Everyday Mathematics

  4. Lattice Multiplication Solve: 48 × 36 We multiply each digit across the top by each digit down the side, in whatever order we choose. Let’s start with 8 × 3. 8 × 3 = 24 We find the box where the 8 column and the 3 row intersect. Now we record 24 as shown. 4 8 2 3 4 6 Everyday Mathematics

  5. Lattice Multiplication Solve: 48 × 36 4 × 3 = 12 We find the box where the 4 column and the 3 row intersect. We record the 12 as shown. 48 1 3 2 6 2 4 Everyday Mathematics

  6. Lattice Multiplication Solve: 48 × 36 8 × 6 = 48 We find the box where the 8 column and the 6 row intersect. We record the 48 as shown. 48 1 3 2 4 6 8 2 4 Everyday Mathematics

  7. Lattice Multiplication Solve: 48 × 36 4 × 6 = 24 We find the box where the 4 column and the 6 row intersect. We record the 24 as shown. 48 12 3 24 2 6 4 4 8 Everyday Mathematics

  8. Lattice Multiplication Solve: 48 × 36 The diagonals separate the digits by place-value columns. The next step is to add along the diagonals. We start with the ones. There are 8 ones. We record 8 ones. 48 12 3 24 24 6 4 8 thousands hundreds 8 tens ones Everyday Mathematics

  9. Lattice Multiplication Solve: 48 × 36 We add the tens. 4 tens + 4 tens + 4 tens = 12 tens We need to regroup. 12 tens = 10 tens + 2 tens We record 2tens and “carry” 1 hundred (10 tens) to the hundreds diagonal. 48 12 3 24 24 6 4 8 1 thousands hundreds 2 8 tens ones Everyday Mathematics

  10. Lattice Multiplication Solve: 48 × 36 We add the hundreds. 2 hundreds 2 hundreds 2 hundreds + 1 hundred 7 hundreds We record 7hundreds. 48 12 3 24 24 6 4 8 1 thousands 7 hundreds 2 8 tens ones Everyday Mathematics

  11. Lattice Multiplication Solve: 48 × 36 We add the thousands. There is 1 thousand. We record 1thousand. 48 12 3 24 24 6 4 8 1 thousands 7 hundreds 2 8 tens ones Everyday Mathematics

  12. Lattice Multiplication Solve: 48 × 36 The digits in the answer are 1, 7, 2, and 8. Each digit has a specific place value. 1 thousand 7 hundreds 2 tens 8 ones 48 12 3 24 24 6 4 8 1 thousands 7 hundreds 2 8 tens ones Everyday Mathematics

  13. Lattice Multiplication Solve: 48 × 36 The final answer is 1,728, because 1 thousand + 7 hundreds + 2 tens + 8 ones = 1,728. The product of 48 × 36 is 1,728. Everyday Mathematics

  14. Lattice Multiplication Children often find lattice multiplication easier to use than other methods. It is actually simple. And the lattice helps children organize their work. If children know their multiplication facts and can add single- digit numbers, they can use lattice multiplication successfully. Everyday Mathematics

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