Case Study

Find the base and value of −102-10^2. Briefly explain the negative sign.

Case context: Evaluate −102-10^2 using the order of operations.

Question: Find the base and value of −102-10^2. Briefly explain the negative sign.

Sample answer: The base is 1010. First, 102=10010^2=100. Then apply the negative sign, so −102=−100-10^2=-100.

Key points:

  • The base is 1010.
  • The exponent applies only to 1010.
  • The value is −100-100.

Rubric: Full credit: identifies the base as 1010, gives −100-100, and states that the exponent is evaluated before the negative sign.

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Updated 2026-09-17

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