Hal used the following procedure to find an estimate for Step 1: Since and and 81 < 82.5 < 100, is between 9 and 10. Step 2: Since 82.5 is closer to 81, square the tenths closer to 9. Step 3: Since 81.00 < 82.5 < 82.81, square the hundredths closer to 9.1. Step 4: Since 82.5 is closer to 82.62 than it is to 82.44, 9.09 is the best approximation for . In which step, if any, did Hal make an error? In step 1, is between 8 and 10 because 80 and . In step 2, he made a calculation error when squaring. In step 4, he made an error in determining which value is closer to 82.5. Hal did not make an error.

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Answer:

In step 4, he made an error in determining which value is closer to 82.5

Step-by-step explanation:

In step 4, Hal considers that 82.5 is closer to 82.62 than it is to 82.44, but in fact 82.5 is closer to 82.44 than it is to 82.62 because:

|82.5 - 82.44| = 0.06

is less than:

|82.5 - 82.62| = 0.12

Answer:

(C)  In step 4, he made an error in determining which value is closer to 82.5.

Step-by-step explanation:

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