Ahmad wants to calculate 6 × 48 mentally. Which decomposition gives the fastest correct answer?
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Worked Solution
Step 1: Notice 48 is close to the round number 50.
Step 2: Rewrite 48 as (50 − 2).
Step 3: Apply the distributive property: 6 × (50 − 2) = (6 × 50) − (6 × 2).
Step 4: Compute each part: 6 × 50 = 300; 6 × 2 = 12.
Step 5: Subtract: 300 − 12 = 288.
Step 6: The most efficient option is the round-then-adjust strategy.
Answer: (6 × 50) − (6 × 2) = 300 − 12 = 288
Correct answer: (6 × 50) − (6 × 2) = 300 − 12 = 288
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