Question

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.

Answer 1

The answer would be in step 4, he made an error in determining which value is closer to 82.5

Answer 2

4: Since 82.5 is closer to 82.62 than it is to 82.44 this is the wrong estimation.

Step 4 is wrong.

Explanation:

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

So, the last step is wrong. 4: Since 82.5 is closer to 82.62 than it is to 82.44

82.5 is closer to 82.44 not 82.62