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What is the additive identity for integers (the integer that, when added to any integer, leaves it unchanged)?

Class 6IntegersIntegers
  • A1
  • B0
  • C2
  • D-1

Step-by-Step Solution

Adding 0 to any integer gives the same integer back, for example 7 + 0 = 7 and −5 + 0 = −5. So 0 is the additive identity.
Answer: B) 0

Key idea: Integers on the number line

Draw a line, mark zero in the middle, and step off equal distances. To the right: 1, 2, 3, …. To the left: −1, −2, −3, …. Every integer has its own spot. The further left, the smaller the integer. The further right, the larger. This single picture is the foundation for everything else in this topic — when in doubt, draw the line.

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