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N.11 Multiply 10 by numbers up to 12

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The power of multiplying by 10

Multiplying by 10 is a special pattern in math. When you multiply any whole number by 10, the product is that number followed by a zero.

Examples:
  • 10 × 1 = 10
  • 10 × 4 = 40
  • 10 × 7 = 70
Note

Think of it as "adding a zero" to the number you are multiplying. It’s like moving the number one place value to the left on a place value chart.

How the pattern works

This pattern works because our number system is based on tens. Multiplying by 10 increases the value of each digit by one place.

Seeing the pattern:
  • 10 × 2 = 20 (two tens are twenty)
  • 10 × 5 = 50 (five tens are fifty)
  • 10 × 9 = 90 (nine tens are ninety)
Note

The pattern is consistent and reliable. Knowing this rule helps you solve these facts instantly.

Multiplication facts with 10 up to 12

You should memorize all multiplication facts where 10 is multiplied by numbers from 1 through 12. This builds fluency for more complex math.

Complete fact family:
  • 10 × 1 = 10
  • 10 × 2 = 20
  • 10 × 3 = 30
  • 10 × 4 = 40
  • 10 × 5 = 50
  • 10 × 6 = 60
  • 10 × 7 = 70
  • 10 × 8 = 80
  • 10 × 9 = 90
  • 10 × 10 = 100
  • 10 × 11 = 110
  • 10 × 12 = 120
Note

Notice that 10 × 10 = 100 and beyond. For 11 and 12, the pattern continues: 10 × 11 is eleven tens, which is 110.

Using these facts in problems

Once you know the basic facts, you can use them to solve word problems and understand larger multiplication concepts.

Application examples:
  • If one box holds 10 pencils, how many pencils are in 8 boxes? (10 × 8 = 80 pencils)
  • A farmer plants 10 rows of corn with 12 seeds in each row. How many seeds total? (10 × 12 = 120 seeds)
  • What is ten times eleven? (10 × 11 = 110)
Note

These facts are tools. When you see a number multiplied by 10, you can solve it quickly and focus on the rest of the problem.