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Simplifying Using the Distributive Property
Use the distributive property to compute — the total cost when three friends each need $9.25 for a movie ticket:
Step 1 — Break the decimal into a convenient sum: Rewrite as :
Step 2 — Distribute the factor of : Multiply by each addend separately:
Step 3 — Compute each product: and :
Step 4 — Add: .
The total amount needed is $27.75. This example illustrates the intuition behind the distributive property: thinking of the dollars and quarters separately and then combining the results is equivalent to multiplying the full amount all at once.
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A team lead is purchasing 3 lunch vouchers for $9.25 each. To use the distributive property to calculate the total, which expression represents the correct first step of breaking the price into dollars and cents?
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