CurriculumGrade 7Mathematics

Multiplying & Dividing Rational Numbers

Aligned to 7.NS.A.2 — Common Core State Standards for Mathematics.

What this lesson teaches

When you multiply or divide two numbers with the same sign, the result is positive; with different signs, it is negative. The same sign rules work for integers, fractions, and decimals.

Worked example

Find (−5) × (−6) ÷ (−3). First (−5) × (−6) = +30 (same signs). Then 30 ÷ (−3) = −10 (different signs), so the answer is −10.

Practice questions

  1. Find (−3/4) × (−8).
  2. Compute (−2/3) ÷ (4/9).
  3. Evaluate (−1.5) × 4.

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

Multiplicar y Dividir Números Racionales

Al multiplicar o dividir dos números con el mismo signo, el resultado es positivo; con signos distintos, es negativo. Estas reglas de signos sirven para enteros, fracciones y decimales.

Ejemplo: Halla (−5) × (−6) ÷ (−3). Primero (−5) × (−6) = +30 (mismo signo). Luego 30 ÷ (−3) = −10 (signos distintos), así que el resultado es −10.

More The Number System lessons

Operations with Integers7.NS.A.1Real-World Problems with Rational Numbers7.NS.A.3

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