Solve this---Question Stem:
(11 - 3^2) / 10
Options:
a) 2
b) 6.4
c) 1/2
d) 1/5
Other Relevant Text:
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We have an expression to evaluate: eleven minus three squared, all divided by ten. We'll solve this using the order of operations, starting with the exponent, then the subtraction in parentheses, and finally the division.
The first step is to evaluate the exponent. We have three squared, which means three multiplied by three. Three times three equals nine. This is a fundamental rule of exponents where the base number is multiplied by itself.
Now we substitute nine for three squared and perform the subtraction. Eleven minus nine equals two. So the numerator of our fraction is two.
Finally, we divide two by ten, which gives us two-tenths or one-fifth. The answer is one-fifth, which corresponds to option d in the multiple choice question.
Let's verify our answer by converting one-fifth to a decimal. One divided by five equals zero point two. Now checking the options: option a is two, which doesn't match. Option b is six point four, also incorrect. Option c is one-half, which equals zero point five, not zero point two. Option d is one-fifth, which equals zero point two, matching our result perfectly. Therefore, the correct answer is option d.
Here's our complete solution summary. We started with the expression eleven minus three squared, all divided by ten. First, we evaluated the exponent: three squared equals nine. Then we performed the subtraction: eleven minus nine equals two. Next, we had two divided by ten. Finally, we simplified this fraction to one-fifth. The answer is option d, one-fifth.