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T.10 Divide by 10: quotients up to 12

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What is division by 10?

Division by 10 means splitting a total quantity into 10 equal groups or finding how many groups of 10 are in a number. When you divide by 10, each group gets the same amount.

Example:
  • If you have 60 stickers and put them into 10 equal piles, you are calculating 60 ÷ 10.
  • Each pile would have 6 stickers. So, 60 ÷ 10 = 6.
Note

Dividing by 10 is the opposite, or inverse, operation of multiplying by 10. If you know your 10s multiplication facts, you can use them to help you divide.

A key pattern when dividing by 10

Dividing a whole number by 10 has a special pattern that can help you find the answer quickly.

Steps:
  • Look at the number you are dividing (the dividend).
  • If it ends in a zero, you can "remove" one zero to find the quotient.
  • 70 ÷ 10 = 7 (The zero in 70 is removed, leaving 7).
  • 120 ÷ 10 = 12 (The zero in 120 is removed, leaving 12).
Note

This pattern works because our number system is base-ten. Removing a zero is like moving the digits one place value to the right.

Division facts for 10

Memorizing these basic facts will make dividing by 10 fast and easy. These are the facts you will use most often.

Division facts (quotients up to 12):
  • 10 ÷ 10 = 1
  • 20 ÷ 10 = 2
  • 30 ÷ 10 = 3
  • 40 ÷ 10 = 4
  • 50 ÷ 10 = 5
  • 60 ÷ 10 = 6
  • 70 ÷ 10 = 7
  • 80 ÷ 10 = 8
  • 90 ÷ 10 = 9
  • 100 ÷ 10 = 10
  • 110 ÷ 10 = 11
  • 120 ÷ 10 = 12
Note

Notice the pattern: the quotient (answer) is the first digit(s) of the dividend (without 0). For 80 ÷ 10, the quotient is 8. For 120 ÷ 10, the quotient is 12.

Using division by 10 in real situations

Understanding division helps solve everyday problems, like sharing items or organizing things into equal sets.

Examples:
  • Sharing: "You have 90 minutes to complete 10 game levels. How many minutes per level?" → 90 ÷ 10 = 9 minutes per level.
  • Grouping: "A teacher needs 100 pencils for 10 tables. How many pencils per table?" → 100 ÷ 10 = 10 pencils per table.
  • Measuring: "A 110-inch rope is cut into 10 equal pieces. How long is each piece?" → 110 ÷ 10 = 11 inches.
Note

When you see a problem involving splitting something into 10 parts or making groups of 10, it's a signal to divide by 10.