7th Grade · The Number System

Reasonableness

7.NS.A.3

Definition

The quality of an answer being sensible and close to the estimated value. Always estimate first, then check whether your exact answer is in the ballpark.

Examples

  • 48 × 19 ≈ 50 × 20 = 1,000; the exact answer 912 is reasonable.
  • A student says 48 × 19 = 9,120 — way off, so not reasonable.

Key rule

Estimate first to catch errors: is the answer the right size and the right sign?

Memory hook

Estimate, then sanity-check.