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Mathematics, 23.10.2021 09:30 lopezjose1530

Hal used the following procedure to find an estimate for StartRoot 82.5 EndRoot. Step 1: Since 9 squared = 81 and 10 squared = 100 and 81 < 82.5 < 100, StartRoot 82.5 EndRoot is between 9 and 10.

Step 2: Since 82.5 is closer to 81, square the tenths closer to 9.

9.0 squared = 81.00

9.1 squared = 82.81

9.2 squared = 84.64

Step 3: Since 81.00 < 82.5 < 82.81, square the hundredths closer to 9.1.

9.08 squared = 82.44

9.09 squared = 82.62

Step 4: Since 82.5 is closer to 82.62 than it is to 82.44, 9.09 is the best approximation for StartRoot 82.5 EndRoot.

In which step, if any, did Hal make an error?

In step 1, StartRoot 82.5 EndRoot is between 8 and 10 becauseStartRoot 82.5 EndRoot almost-equals 80 and 8 times 10 = 80.

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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