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📘 Learn Abacus – A Step-by-Step Guide

By Brain Booster School of Brain Engineering and Management Science

📍 Samneghat, Hari Om Nagar Colony, Lanka, Varanasi
📞 Contact: 9453081534, 6306999800

🔹 What is an Abacus?

An abacus is a simple mathematical tool used for calculations. It consists of rods and beads that represent numbers, helping in fast mental calculations. The abacus method enhances memory, concentration, and logical thinking while improving math skills.

🔹 History of the Abacus

The abacus originated in ancient times and has been used in countries like China, Japan, and India for calculations. It was one of the first tools to help people perform arithmetic operations faster.

🔹 Why Learn Abacus? (Benefits of Mental Math)

✅ Develops quick mental calculation ability
✅ Enhances focus and memory power
✅ Improves problem-solving skills
✅ Strengthens logical thinking
✅ Boosts confidence in mathematics

📖 Understanding the Abacus Structure

The abacus is made up of:

1. Frame – The outer structure holding beads and rods.

2. Rods – Vertical sticks where beads move up and down.

3. Beads – Small balls representing numbers.

4. Upper Beads (Heaven Beads) – Represent higher values.

5. Lower Beads (Earth Beads) – Represent smaller values.

6. Divider (Bar) – Separates upper and lower beads.

👉 Each rod represents a place value (ones, tens, hundreds, etc.).

🔹 How to Use an Abacus?

📌 Step 1: Holding and Positioning the Abacus

Place the abacus flat on a table.

Use your thumb and index finger to move beads.

Start from the rightmost rod (units place).

📌 Step 2: Learning Numbers on the Abacus

Lower beads (Earth beads) = 1 each.

Upper bead (Heaven bead) = 5.

Moving a lower bead upwards counts +1.

Moving a lower bead downwards counts -1.

Moving an upper bead downwards adds +5.

Moving an upper bead upwards removes -5.

📝 Practice Exercise:
✔ Move one lower bead up – This represents 1.
✔ Move two beads up – This represents 2.
✔ Move five lower beads up – Now move one upper bead down (5).

🔹 Basic Abacus Operations

📌 Step 3: Addition on Abacus

Example 1: 2 + 3 = ?

1. Move 2 beads up on the units rod (representing 2).

2. Move 3 more beads up (total 5 beads).

3. The answer is 5.

Example 2: 7 + 4 = ?

1. Move 7 beads up (units place).

2. Add 4 – There are only 3 beads left, so move one upper bead (5) down and remove 3 lower beads.

3. The answer is 11 (move 1 bead up in the tens place).

📝 Practice Problems:
✔ 5 + 3 = ?
✔ 6 + 7 = ?
✔ 9 + 2 = ?

📌 Step 4: Subtraction on Abacus

Example 1: 9 - 3 = ?

1. Set 9 on the abacus.

2. Remove 3 beads (move them back down).

3. The answer is 6.

Example 2: 15 - 8 = ?

1. Set 15 on the abacus (1 bead in tens place and 5 in units).

2. Remove 8 (remove 5 first, then 3 more from the tens place).

3. The answer is 7.

📝 Practice Problems:
✔ 12 - 4 = ?
✔ 18 - 9 = ?
✔ 25 - 7 = ?

🔹 Intermediate Abacus Operations

📌 Step 5: Multiplication on Abacus

Multiplication is repeated addition.

Example: 3 × 4

1. Add 4 three times using the abacus.

2. The answer is 12.

Example: 6 × 2

1. Add 6 two times using the abacus.

2. The answer is 12.

📝 Practice Problems:
✔ 5 × 3 = ?
✔ 7 × 2 = ?
✔ 9 × 4 = ?

📌 Step 6: Division on Abacus

Division is repeated subtraction.

Example: 12 ÷ 3

1. Start with 12 beads.

2. Subtract 3 at a time until you reach zero.

3. The answer is 4 (as you subtracted 3 four times).

📝 Practice Problems:
✔ 15 ÷ 5 = ?
✔ 20 ÷ 4 = ?
✔ 18 ÷ 6 = ?

🔹 Advanced Abacus Techniques

📌 Step 7: Mental Math Using Abacus Visualization

Once students master bead movement, they can imagine the abacus in their mind.

This helps in solving problems faster without a physical abacus.

Example: 23 + 17 – Visualize moving beads instead of using an actual abacus.

📝 Practice:
✔ 36 + 28 = ?
✔ 45 - 19 = ?
✔ 7 × 8 = ?

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🔹 Fun Abacus Activities

1. Speed Challenge: Solve problems faster each day.

2. Abacus Game: Find answers before your friend does!

3. Memory Training: Remember numbers using the abacus method.

🔹 Course Details & Fee Structure

Institution Name:
📍 Brain Booster School of Brain Engineering and Management Science

📞 Contact: 9453081534, 6306999800

Fees for Each Level:

Admission & Study Material Fee: ₹1,500

Course Fee (Per Level): ₹3,000

Total Fee Per Level: ₹4,500

📢 Complete Course (All 4 Levels) = ₹18,000

🔹 Certification & Next Steps

📢 After completing this booklet, students will receive a Certificate of Completion from Brain Booster School of Brain Engineering and Management Science.

🎯 Enroll Now & Master Abacus!
📞 Call: 9453081534, 6306999800

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