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Question
larry has $20 to spend at the store. he plans to purchase five items that cost $5.79, $7.63, $3.46, $2.99, and $3.65. larry estimated his total cost to make sure he has enough money for his purchases. is his estimate accurate? explain why or why not.
$5 + $7 + $3 + $2 + $3 = $20
Step1: Round each cost.
$5.79\approx6$, $7.63\approx8$, $3.46\approx3$, $2.99\approx3$, $3.65\approx4$
Step2: Calculate the actual - rounded total.
$6 + 8+3 + 3+4=24$
Step3: Analyze the estimate.
The estimate of $5 + 7+3 + 2+3 = 20$ is inaccurate because when rounding, most numbers were rounded down too much. The actual - rounded total is $24$, which is greater than $20$.
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No, his estimate is not accurate. When rounding the costs more appropriately, the total is $24$ which is greater than the $20$ he estimated, meaning he underestimated the total cost.