This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Here are the solutions to the problems:
Question (implicitly 5): Which number is to the right of the zero (0) and is opposite to -2 on the number line?
Step 1: Find the opposite of -2. The opposite of a number is the number with the same absolute value but the opposite sign. The opposite of is .
Step 2: Check if the number is to the right of zero. Numbers to the right of zero on the number line are positive numbers. Since is a positive number, it is to the right of zero.
The number is .
Question 6: Write the integers wh... This question is incomplete. Please provide the full question for a complete answer.
Question (implicitly 7, about subtraction): 17 is subtracted from a number and the result is -10. Find the number.
Step 1: Set up the equation. Let the unknown number be . "17 is subtracted from a number" can be written as . "the result is -10" means the expression equals -10. So, the equation is:
Step 2: Solve for . Add 17 to both sides of the equation:
The number is .
Question 7 (sequence): Find the next three -5, -4, -3, -2, ...
Step 1: Identify the pattern in the sequence. Observe the given numbers: . Each number is 1 greater than the previous number. This is an arithmetic sequence with a common difference of .
Step 2: Find the next three numbers. Starting from , add 1 repeatedly: The next number is . The second next number is . The third next number is .
The next three numbers are .
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Question (implicitly 5): Which number is to the right of the zero (0) and is opposite to -2 on the number line? Step 1: Find the opposite of -2.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.