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AQA GCSE · Question 10.2 · Algebra
Simplify fully (1/2)c × 6d
Simplify fully (1/2)c × 6d
How to approach this question
To simplify this expression, multiply the number parts together and the variable parts together.
1. Rearrange the expression: (1/2) × 6 × c × d.
2. Multiply the numbers: (1/2) × 6 = 3.
3. Multiply the variables: c × d = cd.
4. Combine the results: 3cd.
Full Answer
3cd
When multiplying algebraic terms, we multiply the numerical coefficients (the numbers) and the variables separately.
The expression is (1/2)c × 6d.
This can be rewritten as (1/2) × c × 6 × d.
Let's rearrange to group the numbers and variables:
(1/2 × 6) × (c × d)
First, calculate the product of the numbers:
1/2 × 6 is the same as half of 6, which is 3.
Next, calculate the product of the variables:
c × d = cd
Combine these parts to get the final simplified expression: 3cd.
Common mistakes
✗ Forgetting to multiply the numbers, leaving the answer as (1/2)c6d.\n✗ Incorrectly multiplying the fraction, e.g., 1/2 x 6 = 12.
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