8th Grade · The Number System

Consecutive Integers

8.NS.A.2

Definition

Whole numbers that follow each other in order, each one greater than the previous. Used to locate irrational numbers between two whole-number bounds.

Examples

  • 5, 6, 7 or 11, 12, 13 are consecutive integers.
  • The square root of 20 falls between consecutive integers 4 and 5, since 4²=16 and 5²=25.

Key rule

To trap an irrational root, find the two perfect squares it falls between, then take their roots.

Memory hook

Whole numbers, one after another.