Discover a brilliant maths trick that will amaze your students! This multiplication shortcut transforms complex sums into a fun, engaging activity. Let's explore the fascinating world of number patterns!
The 11 Times Table Challenge
1
Pick a Number
Ask a student to choose any two-digit number. It's their special pick!
2
Multiply by 11
Challenge them to multiply their chosen number by 11. Watch their faces!
3
Instant Answer
Amaze them by quickly providing the correct answer. It's like magic!
Unveiling the Trick
1
Separate the Digits
Take the chosen number and separate its digits. For example, 34 becomes 3 _ 4.
2
Add the Digits
Add the separated digits together. In our example, 3 + 4 = 7.
3
Place the Sum
Put the sum between the original digits. 34 becomes 374. Voila!
The Magic in Action
Example 1: 25 x 11
Separate: 2 _ 5
Add: 2 + 5 = 7
Result: 275
Example 2: 48 x 11
Separate: 4 _ 8
Add: 4 + 8 = 12
Result: 528 (Carry the 1!)
Example 3: 73 x 11
Separate: 7 _ 3
Add: 7 + 3 = 10
Result: 803 (Carry the 1!)
Understanding the Pattern
Place Value
The trick works because of how numbers are arranged in the decimal system.
Patterns in Maths
Multiplication by 11 creates a consistent pattern that we can predict.
Mental Maths
This trick boosts mental calculation skills and number sense in a fun way.
When Sums Exceed 9
1
Add Digits
When the sum of digits exceeds 9, an extra step is needed.
2
Carry Over
Add 1 to the leftmost digit and use the ones place in the middle.
3
Final Answer
The result maintains the pattern but with an adjusted first digit.
Benefits of the 11 Trick
Boosts Confidence
Students feel like maths wizards when they master this trick.
Enhances Number Sense
It helps students understand how numbers relate to each other.
Encourages Pattern Recognition
Students learn to spot and apply patterns in mathematics.