Skill: Recognize number bonds to 10

Explanation and Free Practice Resources

Number bonds to 10 are complementary part–part–whole relationships in which two whole-number parts from 0 through 10 combine to make 10, such as 6 and 4; reversing the parts does not change the total. These relationships may be represented with equations, part–part–whole diagrams, or a ten-frame, and support efficient addition and subtraction within 10. Bonds to larger numbers and generalized algebraic rules are outside this scope.

Detailed Explanation: Recognize number bonds to 10

A number bond to 1010 shows two parts that join to make the whole, 1010.

To find a missing part, start with the part you know and count up to 1010.

Example: 7+□=107+\square=10

  1. Start at 77.
  2. Count up to 1010: 8,9,108, 9, 10.
  3. You counted 33 numbers, so the missing part is 33.

Therefore:

7+3=107+3=10

The parts can switch places and still make 1010:

3+7=103+7=10

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Addition - Whole Number - Number Bonds to 10


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