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Case Study

What is 00 called, and why does the sum stay the same?

Case context: 7+0=77 + 0 = 7

Question: What is 00 called, and why does the sum stay the same?

Sample answer: 00 is the additive identity. Adding 00 does not change a number.

Key points:

  • 00 is the additive identity.
  • Adding 00 does not change a number.
  • For any number aa, a+0=aa + 0 = a and 0+a=a0 + a = a.

Rubric: Full credit: Names 00 as the additive identity and states that adding 00 does not change a number. Partial credit: Gives only one of these ideas. No credit: Gives neither idea correctly.

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Updated 2026-08-11

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