AC9M8N04Year 8NumberPractised on site

AC9M8N04 — Year 8 Number

Official Curriculum Content Description:

use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate

Worked Examples (2)

Example 1Directed Negative Numbers
Evaluate 8×(−5)8 \times (-5).
Common mistake: Forgetting that multiplying different signs yields a negative product.
Correct Answer:−40-40
Worked Solution:
Multiplying two numbers with different signs gives a negative result: 8×(−5)=−408 \times (-5) = -40.
Example 2Four Operations on Fractions & Mixed Numbers
Calculate 36×26\frac{3}{6} \times \frac{2}{6}, giving your answer as a simplified fraction.
Common mistake: Cross-multiplying instead of multiplying straight across.
Correct Answer:16\frac{1}{6}
Accepted: Decimal form is also accepted (0.16666666666666666).
Worked Solution:
Multiply numerators together (3×2=63 \times 2 = 6) and denominators together (6×6=366 \times 6 = 36), then simplify.

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