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Mathematics·Number Representation & Place Value·conceptual

Numbers on a number line

Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts; distinguish absolute value comparisons from ordering statements

Suggested ages 11–12

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Evidence of understanding

  • Define absolute value as distance from zero on a number line
  • Calculate the absolute value of positive and negative rational numbers
  • Distinguish between comparing absolute values and comparing signed numbers in real-world contexts

Assessment prompt

Can Numbers on a number line tell you that the absolute value of −7 is 7 — because it's 7 steps from zero on a number line regardless of direction — and use this idea to compare distances?

Standards alignment

6.NS.7cUS · ccss-math

Understand Absolute Value

Common Core State Standards for Mathematics · 6

6.NS.7dUS · ccss-math

Distinguish Comparisons of Absolute Value

Common Core State Standards for Mathematics · 6