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What is the special name for 00 in 7+0=77 + 0 = 7, and what property explains why the value stays the same?

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

Question: What is the special name for 00 in 7+0=77 + 0 = 7, and what property explains why the value stays the same?

Sample answer: The 00 is called the additive identity. The Identity Property of Addition states a+0=aa + 0 = a and 0+a=a0 + a = a for any real number aa, so adding 00 never changes the value.

Key points:

  • 00 is called the additive identity.
  • The Identity Property of Addition states a+0=aa + 0 = a and 0+a=a0 + a = a.
  • Adding 00 never changes a number's value.
  • 7+0=77 + 0 = 7 shows this property.

Rubric: Full credit: names 00 as the additive identity and states the Identity Property of Addition correctly. Partial credit: gives only the name or only the property. No credit: neither is given correctly.

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Updated 2026-07-11

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