Question

Which of the following is a correct interpretation of the expression 1 + (6 / (1 + (6 / 1)))? Choose 1 answer:

A) The number that is 666 to the left of 111 on the number line
B) The number that is 666 to the right of 111 on the number line
C) The number that is 111 to the left of -6 - 6 on the number line
D) The number that is 111 to the right of -6 - 6 on the number line

Answer 1

The following is a correct interpretation of the expression 1 + (6 / (1 + (6 / 1))) (D) The number that is 111 to the right of -6 - 6 on the number line.

Step-by-step explanation:

To evaluate the expression 1 + (6 / (1 + (6 / 1))), we need to follow the order of operations. The parentheses within the parentheses should be evaluated first, followed by the division within the parentheses, and then the remaining operations.

Step 1: Evaluate the expression within the parentheses: 1 + (6 / (1 + (6 / 1)))

Step 2: Evaluate the division within the parentheses: 1 + (6 / 7)

Step 3: Perform the division: 1 + 0.857142857

Step 4: Combine the remaining operations: 1 + 0.857142857 = 1.857142857

Therefore, the expression 1 + (6 / (1 + (6 / 1))) evaluates to 1.857142857. On the number line, this value lies 1.857142857 units to the right of -6 - 6.

Option D is answer.