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N.12 Multiply 11 by numbers up to 12

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The rule of multiplying by 11

Multiplying by 11 means adding a number to itself 10 times. A strong knowledge of these facts makes solving larger problems faster and easier.

Core pattern:
  • 11 × 4 is the same as 10 × 4 plus 1 × 4.
  • 10 × 4 = 40, and 1 × 4 = 4.
  • 40 + 4 = 44, so 11 × 4 = 44.
Note

Think of it as taking the other number, putting it in the tens and ones place, and then adding it together. For 11 × 4, think "4 and 4" to get 44.

All multiplication facts with 11 (up to 12)

To build fluency, you must know all combinations from 1 through 12. Here is the complete set of facts.

Complete fact list:
  • 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
Note

Notice the clear pattern from 1 through 9. For 10, 11, and 12, commit these three facts to memory: 110, 121, and 132.

Using the facts in word problems

Knowing multiplication facts allows you to solve real-world problems quickly. Look for phrases like "groups of," "rows of," or "11 times as many."

Example in a sentence:
  • "There are 11 cartons of eggs. Each carton holds 12 eggs. How many eggs are there total?"
  • This is 11 groups of 12: 11 × 12 = 132 eggs.
Note

When you see a problem involving 11, identify the other number you are multiplying by. Use your known facts or the break-apart strategy to find the total.

Strategies for remembering all the facts

Use patterns, repeated practice, and related facts to build quick recall of all multiplication facts with 11.

Helpful strategies:
  • Pattern 1-9: The number repeats (11 × 6 = 66).
  • For 10, 11, 12: Memorize the three key facts: 110, 121, 132.
  • Use a fact you know: If you know 11 × 5 = 55, then 11 × 6 is just 55 + 11 = 66.
Note

Consistent practice is the best way to build fluency. Try writing the facts from 11 × 1 to 11 × 12 in order and say them aloud.