Share:
How It Works
The grid (box) method breaks each number into place-value parts, multiplies every combination in a grid, then adds all partial products. It helps students visualize why multiplication works and is widely used in common core curricula.
Example Problem
Multiply 34 × 13 using the grid method:
- Decompose: 34 = 30 + 4, 13 = 10 + 3.
- Grid: 30×10 = 300, 30×3 = 90, 4×10 = 40, 4×3 = 12.
- Sum: 300 + 90 + 40 + 12 = 442.
Frequently Asked Questions
What is the grid method of multiplication?
Also called the box method or area model, it splits each factor into place-value parts (hundreds, tens, ones), multiplies every pair, and adds the partial products. It makes the distributive property visible.
How is the grid method different from the lattice method?
The grid method groups by place value and sums rectangular areas. The lattice method works with individual digits in a diagonal grid and carries along diagonals instead of columns.
Can the grid method handle three-digit numbers?
Yes. A 3-digit by 2-digit multiplication creates a 3×2 grid with 6 partial products. For example, 245 × 13 produces cells for 200×10, 200×3, 40×10, 40×3, 5×10, and 5×3, summing to 3,185.
Related Calculators
- Lattice Multiplication Calculator — multiply using the diagonal lattice grid.
- Addition Calculator — traditional column addition with carry-overs.
- Long Division Calculator — divide with step-by-step work.
- Fraction Multiplication Calculator — multiply fractions with step-by-step work.
- Statistics Calculator — compute mean, median, and standard deviation from data sets.