Mental Math

Lattice Method Multiplication for Students: Definition, Simple Steps, and Examples

  • May 3, 2025
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Lattice Method Made Easy: A Simple Way to Multiply Big Numbers

Struggling with long multiplication? You're not alone. The lattice method is a fun, visual way to break down big multiplication problems into smaller, easy steps. Whether you're just starting or want a cleaner process, this grid-based technique helps you stay organized and get the right answer with less confusion.

What is Lattice Method Multiplication?

Illustrated image representing Lattice Method Multiplication

 

Lattice method multiplication is a visual technique that uses a grid to simplify multiplication. Instead of carrying numbers as in the traditional method, this approach places each multiplication into a separate box in a lattice, organizing partial products by diagonals. It helps reduce mistakes and supports clear thinking, especially for students learning how to multiply large numbers.

Looking for more mental math strategies? Discover the Top 5 mental math systems that make calculations easier.

How to Do Lattice Method Multiplication – Simple Steps

Let’s learn this with a real example: 23 × 36

Step 1: Draw the Lattice Grid

Create a 2×2 grid (since each number has 2 digits).

Step 2: Label the Grid

  • Write 2 and 3 (digits of 23) across the top.
  • Write 3 and 6 (digits of 36) down the right side.

Step 3: Draw Diagonals

In each square, draw a diagonal from the top right corner to the bottom left.

Step 4: Multiply and Fill the Boxes

Multiply the digits from the top and side.

  • 2 × 3 = 06
  • 2 × 6 = 12
  • 3 × 3 = 09
  • 3 × 6 = 18

Place the tens digit above the diagonal and the ones digit below.

Step 5: Add Along the Diagonals

Start from the bottom right:

  • Diagonal 1: 8
  • Diagonal 2: 2 + 1 + 9 = 12 (write 2, carry 1)
  • Diagonal 3: 6 + 0 + 1 = 7
  • Diagonal 4: 0

Step 6: Read the Final Answer

Start from the top-left and follow along the diagonals: 828
 23 × 36 = 828

Why Use the Lattice Method?

  • Breaks large problems into small steps
  • Visually clear and structured
  • Reduces carrying and alignment errors
  • Helps in building times table fluency
  • Engaging and easy for all learners

Summary Table: Steps of Lattice Multiplication

Step

What to Do

Draw the latticeCreate a grid matching the digits of each number
Label the latticeWrite one number on top, one on the side
Draw diagonalsTop right to bottom left in each box
Multiply and fillFill tens above and ones below the diagonal
Add diagonalsStart from bottom-right; carry if needed
Read the answerFollow diagonals to get the final number

Lattice Method vs. Vedic Math: A Quick Comparison

image representing Lattice Method vs. Vedic Math

 

Lattice Method is a visual multiplication technique that uses a grid to break calculations into smaller parts, helping students organize and simplify large problems step by step.

Vedic Math, on the other hand, is an ancient Indian system built on 16 sutras (formulas) and 13 sub-sutras. Rediscovered by Bharati Krishna Tirthaji, it focuses on mental math, shortcuts, and fast calculation strategies, often without pen and paper.

Curious about faster math techniques? Learn more about Vedic Maths and how it helps kids calculate quickly.

Lattice Method vs Vedic Math: Which Is Better?

Aspect

Lattice Method

Vedic Math

FocusMainly multiplicationAll arithmetic + algebra, geometry, calculus
StyleVisual, step-by-stepMental shortcuts using Vedic sutras
Mental MathLimitedStrong emphasis on mental calculation
Learning CurveEasy for beginnersNeeds practice but faster once learned
Best ForBeginners, visual learnersCompetitive exams, speed math, mental fluency

 

Choose a lattice method for structured visual learning. Go for Vedic math when you want speed, mental agility, and versatility across topics.

Lattice Method vs Abacus

Aspect

Lattice Method

Abacus

Primary UseMultiplicationAll arithmetic operations
Mental MathLimitedStrong mental math via mental abacus training
Learning StyleVisual, grid-basedKinesthetic + visual, progresses to mental calculation
Cognitive SkillsFocus on place value, error reductionBoosts memory, motor skills, focus, creativity

 

Lattice Method vs Abacus

 

Use lattice method for clear multiplication steps. Choose abacus for mental speed and overall brain development.

Want to improve memory and math skills? Read about the Mental Abacus method and its benefits.

Vedic Maths or Abacus? Find out which one is better for mental calculations.

Lattice Method vs Trachtenberg System

Aspect

Lattice Method

Trachtenberg System

OriginMedieval India/ChinaWWII-era Europe
MethodGrid-based visual multiplicationRule-based mental calculation
SpeedModerate to fastVery fast once mastered
ScopeMostly multiplicationCovers all basic arithmetic
Learning CurveIntuitive and easyRequires memorization of rules

Choose a lattice method for beginners who need structure. Use Trachtenberg for fast mental calculations and exams.

Know more about : The Trachtenberg Method: A Smart Math Shortcut Every Student Should Know

Lattice Method vs. Chisanbop

Feature

Lattice Method

Chisanbop

OriginAncient India, popularized in EuropeSouth Korea
TypeVisual and written methodFinger-based, tactile method
Used ForMultiplication (mainly)Addition, subtraction, and simple multiplication
Tools NeededGrid or lattice diagramJust fingers
Best ForVisual learners who like organized stepsKinesthetic learners and young children
Mental Math SupportLow – relies on written gridsModerate – encourages number sense through finger use
Fun/Engaging FactorMedium – can be fun to draw and followHigh – turns your hands into a calculator

 

The Lattice Method is great for visual learners, while Chisanbop works well for kids who prefer hands-on learning. Choose what suits your child’s style best.

Finger math can make learning numbers fun! Check out Chisanbop, a simple and engaging finger math technique.

Make Multiplication Easy with the Lattice Method – Fun Math Learning at Interval Learning!

The lattice method of multiplication is a powerful visual tool for students who are starting to learn or struggle with multiplication. It breaks down large numbers into small, understandable steps and reduces common math errors. 

While it’s not a mental math method like Vedic math or abacus, it builds strong foundational understanding.

At Interval Learning, we believe every child can learn math with the right techniques. Our non-academic Vedic math courses are designed to make learning math engaging and fun.

Explore our brain development programs for kids today!


👉 Visit non-academic courses now!

Frequently Asked Questions

The best method depends on your child’s learning style. Visual learners may benefit from the Lattice Method, while hands-on learners might prefer Chisanbop. Techniques from Vedic Math also help children improve speed and accuracy in mental math.

Vedic Math offers quick mental calculation techniques based on patterns and logic. While traditional mental math builds step-by-step skills, Vedic Math can make solving complex problems faster and easier.

Yes. Vedic Math complements other mental math strategies like the Lattice Method and Chisanbop. Using them together can help children strengthen their overall math understanding.

Children as young as 8–10 years old can begin learning Vedic Math and mental math techniques. Starting early helps build strong number sense and boosts confidence in solving math problems mentally.

Mental math is the ability to solve mathematical problems in your head without using paper, calculators, or other tools. It improves focus, memory, and calculation speed, and is especially helpful for day-to-day problem solving.

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