Multiplying Rational Numbers

Name:

Date:

📚 Part 1: Multiple Choice

I can... multiply integers, fractions, and decimals and simplify results.

Success criteria:

- Multiply numerators and denominators correctly or multiply decimal values.

- Determine the sign of a product using rules for negatives.

- Simplify answers to lowest terms or give the correct decimal.

Differentiation strategies: Provide fraction strips or a calculator for computation checks; offer worked examples and sentence stems for students who need language support.

Extension activity: Find how the volume of a box changes when each side is multiplied by 3/2 (use (3/2)^3).

Dyslexia-friendly reading options: Read problems aloud, present one line at a time, provide high-contrast or colored overlays, and allow extra processing time.

1. What is (-3/4) × (8/9)?

-2/3

2/3

-1/3

2/9

2. What is 0.6 × (-5/8)?

-3/8

-0.625

3/8

-0.05

3. What is (-7) × (2/3)?

-14/3

14/3

-4 1/3

4 2/3

4. A recipe calls for 3/4 cup of flour. You make half the recipe. How much flour do you use?

3/8 cup

6/8 cup

1/8 cup

1/2 cup

✏️ Part 2: Short Answers (Show all work)

5. Compute and simplify: (-2/5) × (15/8) = _________

6. Find the volume of a rectangular box with dimensions 2.5 ft, 1.2 ft, and 0.8 ft. Show multiplication and include units.

7. Evaluate and simplify: (-4/5) × (-3/7) × (2/3) = _________

8. Challenge: Multiply and simplify: (1/3) × (-4.5). Explain each step in one sentence.

More support: For students who need extra help, break a problem into two steps (find sign, then multiply absolute values). Allow using a calculator for decimal multiplication when practicing the sign and simplification concepts.

Advanced extension: Choose a 3D object, scale each dimension by 1.5, and calculate the new volume and the factor by which volume changed.