Elevens
The elevens multiplication facts in Grade 4 math follow a memorable pattern for single-digit factors: 11 × n = two of the same digit (11 × 7 = 77). For larger factors, the answer follows a different but learnable pattern. Covered in Chapter 4 of Saxon Math Intermediate 4, students memorize the sequence 11, 22, 33, 44, 55, 66, 77, 88, 99, and learn how the pattern shifts for 11 × 11 = 121 and 11 × 12 = 132—facts that are especially useful for mental math.
Key Concepts
Property Like the tens, the multiples of 11 also follow a distinct pattern, especially with single digit numbers. The sequence includes 11, 22, 33, 44, 55, and continues with this predictable progression. Recognizing this unique pattern is extremely helpful for quick mental calculations and for checking your work when multiplying larger, more complex numbers in problems.
Example For a single digit like 7, the product is its double: $7 \times 11 = 77$. A classic fact everyone should know by heart is $11 \times 11 = 121$. For the next one, $12 \times 11$, the product is 132.
Explanation Multiplying a single digit number by eleven is like creating a clone of that digit! Just repeat the digit twice to get your answer. This makes multiplying by eleven feel more like a fun magic trick than a math problem. For two digit numbers, the patterns are just as cool and easy to learn with practice.
Common Questions
What is the pattern for the 11s multiplication table?
For single-digit factors, 11 × n repeats the digit: 11×3=33, 11×7=77. For 11×11=121 and 11×12=132, the pattern changes but is still predictable.
What are the 11s multiplication facts?
11×1=11, 11×2=22, 11×3=33, 11×4=44, 11×5=55, 11×6=66, 11×7=77, 11×8=88, 11×9=99, 11×10=110, 11×11=121, 11×12=132.
Why is 11 × 7 = 77 easy to remember?
Multiplying 11 by any single digit simply repeats that digit twice. 11 × 7 is 7-7 = 77; 11 × 4 is 4-4 = 44. This pattern makes single-digit 11s facts effortless.
When do Grade 4 students learn the 11s multiplication facts?
The elevens are covered in Chapter 4 of Saxon Math Intermediate 4 as part of completing the full multiplication table.
How do you quickly multiply 11 by a two-digit number like 23?
Add the digits of 23: 2+3=5. Place that sum between 2 and 3: 253. So 11 × 23 = 253. This trick works as long as the digit sum is single-digit.
Why are the 11s facts worth mastering?
The 11s appear in mental math shortcuts, quick checks, and patterns across mathematics. Their predictable structure makes them one of the easiest complete fact families to memorize.