Question

Hey guys! Does anyone mind helping me lol

Answer 1

1. incorrect; exponent incorrectly adjusted
2. correct
3. incorrect; exponent incorrectly computed

Explanation:

You want to identify the errors made in three different versions of the division of two numbers in scientific notation.

1. Sylvia

Sylvia correctly computed the quotient ...

`(3.61*10^(-11))/(4.1*10^7)=0.88*10^(-18)`

This involves finding the ratio 3.61/4.1 = 0.88 and multiplying it by 10 to the difference of numerator and denominator powers: 10^(-11 -7- = 10^-18.

Sylvia's error crept in when she multiplied the mantissa by 10, and also multiplied the power of 10 by 10. She said ...

0.88×10^-18 = (10×0.88) × (10×10^-18) = 8.8×10^-17 . . . . false

To keep the same value of a product one factor must be multiplied by 10 and the other by 1/10.

Sylvia's answer is incorrect.

2. Dylan

Dylan correctly computed the quotient in the same way Sylvia did. He also correctly adjusted the exponent when rewriting 0.88×10^-18 as 8.8×10^-19.

Dylan's answer is correct.

3. Ethan

Ethan incorrectly computed the quotient of the two numbers. His error was in adding the exponents of numerator and denominator, instead of finding their difference.

Ethan's answer is incorrect.