CurriculumGrade 6Mathematics

Ordering and Absolute Value

Aligned to 6.NS.C.7 — Common Core State Standards for Mathematics.

What this lesson teaches

On a number line, a number is greater when it sits farther to the right. Absolute value is the distance from zero, always positive — so a number can be small in value but large in absolute value.

Worked example

Compare −8 and −3: since −3 is to the right, −3 > −8. But |−8| = 8 and |−3| = 3, so −8 is actually farther from zero.

Practice questions

  1. Which is greater, −5 or −2? Write it with < or >.
  2. Find |−12| and |7|.
  3. A bank balance of −45 dollars means a bigger debt than −30 dollars. Explain using absolute value.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Orden y Valor Absoluto

En una recta numérica, un número es mayor cuando está más a la derecha. El valor absoluto es la distancia al cero, siempre positivo, así que un número puede ser bajo en valor pero grande en valor absoluto.

Ejemplo: Compara −8 y −3: como −3 está más a la derecha, −3 > −8. Pero |−8| = 8 y |−3| = 3, así que −8 en realidad está más lejos del cero.

More The Number System lessons

Dividing Fractions6.NS.A.1Multi-Digit Decimals, GCF/LCM, and Negative Numbers6.NS.C.6Long Division with Big Numbers6.NS.B.2Operating with Decimals6.NS.B.3GCF, LCM, and Factoring Sums6.NS.B.4Positive and Negative Numbers6.NS.C.5

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