Week 7: Multiplication by 11

Beginner Level • Estimated: 45 minutes

Lesson 7 of 48

Multiplication by 11

Ages 8-14 Instant Results Magical Trick Mental Math
Week 6 Week 7: ×11 Magic Week 8: ×12 Trick

The Magical ×11 Trick!

Get ready to learn one of the most amazing Vedic Mathematics tricks! Today you'll discover how to multiply any number by 11 instantly in your head! 🎩✨

Why This Trick is Magical

Lightning Fast

Solve in seconds, not minutes

No Calculator

Pure mental math power

Impressive

Amaze friends and family

Traditional Vedic
Magic Secret

The trick works because 11 = 10 + 1. We're using the distributive property in a clever way!

The Basic Magic Trick

For 2-digit numbers: "Add digits, put sum in middle"

"For AB × 11, write A, (A+B), B"

35 × 11 = ?
Step-by-Step Magic:
3
5
×11→
3
8
5
=
3
8
5
1

Write the first digit: 3

2

Add the digits: 3 + 5 = 8

3

Write the last digit: 5

4

Magical Result: 35 × 11 = 385

Traditional Method:

35 × 10 = 350

35 × 1 = 35

350 + 35 = 385

3 steps with carrying

Magic Trick with Carrying

When digits add to 10 or more

"If sum is 10+, write units digit, carry tens to left"

57 × 11 = ?
Step-by-Step with Carry:
5
+1
7
×11→
5
12
7
=
6
2
7
1

Add digits: 5 + 7 = 12

2

Write units digit (2) in middle

3

Carry tens digit (1) to left

4

Left digit becomes: 5 + 1 = 6

5

Magical Result: 57 × 11 = 627

Magic Rule:

If sum ≥ 10:

• Write units digit

• Carry 1 to left

• Add carry to left digit

68 × 11 = ?

Click to solve

79 × 11 = ?

Click to solve

94 × 11 = ?

Click to solve

Magic for 3-Digit Numbers

For ABC × 11: "A, (A+B), (B+C), C"

"Work from right to left, add adjacent digits"

123 × 11 = ?
Step-by-Step 3-digit Magic:
1
2
3
×11→
1
3
5
3
=
1
3
5
3
1

Start with right digit: 3

2

Add middle digits: 2 + 3 = 5

3

Add left digits: 1 + 2 = 3

4

End with left digit: 1

5

Magical Result: 123 × 11 = 1353

Pattern:

For ABC × 11:

A (A+B) (B+C) C

Read from right to left!

Magic Practice Arena

Test Your ×11 Magic Powers

72 × 11 = ?

2-digit, no carry

89 × 11 = ?

2-digit, with carry

345 × 11 = ?

3-digit challenge

Magic in Real Life

Shopping with ×11 Magic

Shopping Scenario:

You buy 11 notebooks. Each costs ₹45. How much total?

1

Problem: 45 × 11

2

Add digits: 4 + 5 = 9

3

Write: 4, 9, 5

4

Instant Answer: ₹495

Group Calculation:

11 friends want pizza. Each pizza has 8 slices. Total slices?

1

Problem: 8 × 11

2

Think: 08 × 11

3

Add: 0+8=8, write: 0, 8, 8

4

Instant Answer: 88 slices

Magic Benefit: You can calculate totals instantly while shopping or planning!

This Week's Magical Goals

By the end of this week, you will:
  • Multiply any 2-digit number by 11 instantly
  • Handle carries when digits sum to 10+
  • Multiply 3-digit numbers by 11 quickly
  • Apply ×11 magic to real-world problems
  • Amaze others with your mental math speed
Your Magical Achievement

Complete this lesson to earn:

×11 Multiplication Wizard Badge

Unlock after completing Week 7

Magical Spell Summary

Today we learned the amazing multiplication by 11 trick:

  1. 2-digit numbers: Write first digit, sum of digits, last digit
  2. With carries: When sum ≥ 10, write units digit, carry 1 left
  3. 3-digit numbers: A, (A+B), (B+C), C (work right to left)
Congratulations, Multiplication Wizard! You now have magical ×11 powers!
Pro Magic Tip

Practice this trick with random numbers throughout the day. The more you use it, the more magical it feels!

About this lesson (Week 7)

Week 7 is part of our free 48-week Vedic Mathematics course for children ages 8–14 at Nikhil Learn Hub. Vedic Maths uses ancient Indian sutras to make mental math faster, clearer, and more fun than traditional methods alone.

For parents & teachers: Read the lesson with your child, try the examples aloud, and use the practice section before moving to Week 8.

Course Hub Week 6 Week 8 Math Puzzles
What is Vedic Mathematics?

A system of mental math techniques from ancient Indian texts, popularized for speed in addition, multiplication, division, squares, and more.

Back to Week 6

Completed: Multiplication by 11

Ready for ×12 magic?
Continue to Week 8

Frequently Asked Questions (Week 7)

Week 7 is one step in our 48-week Vedic Maths path. It includes explanations, worked examples, and practice for this topic. Read the lesson, try every example, then use practice before Week 8.

Plan about 45-60 minutes total, or two shorter sessions of 25-30 minutes. Small, regular practice works best for mental math.

Yes. Week 7 builds on earlier lessons. Finish Week 6 practice first when possible.

It suits curious learners ages 8-14 who know basic school arithmetic. If a step feels hard, review the hub or an earlier week.

Sit together for the first examples, ask your child to explain each trick in their own words, and celebrate correct mental steps. Use the Course Hub link above to jump between weeks.