What are the next three integers in the sequence -5, -4, -3, -2, ...? What integer lies between 0 and -7? What integer is to the right of zero and opposite to -2? What number results in -10 when 17 is

Here are the solutions to the problems: Question 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 -2 is 2. 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 2 is a positive number, it is to the right of zero. The number is 2. --- Question 6: Write the integers which lie between 0 and -7. Step 1: Identify the integers between 0 and -7. These are the integers greater than -7 and less than 0. The integers are -6, -5, -4, -3, -2, -1. --- 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 x. The problem states x - 17 = -10. Step 2: Solve for x. Add 17 to both sides of the equation: x - 17 + 17 = -10 + 17 x = 7 The number is 7. --- Question 7 (sequence): Find the next three integers of the sequence: -5, -4, -3, -2, ... Step 1: Identify the pattern. Each number in the sequence is 1 greater than the previous number. This is an arithmetic sequence with a common difference of +1. Step 2: Find the next three numbers. Starting from -2, add 1 repeatedly: The next number is -2 + 1 = -1. The second next number is -1 + 1 = 0. The third next number is 0 + 1 = 1. The next three numbers are -1, 0, 1. --- Question (implicitly 8, sum of opposite integers): What is the sum of two opposite integers? Step 1: Define opposite integers. Opposite integers are two integers that have the same absolute value but different signs (e.g., a and -a). Step 2: Find their sum. Let the integers be a and -a. Their sum is a + (-a) = a - a = 0. The sum of two opposite integers is 0. --- Question 8 (addition expression): Add the expression: (-2) + 8 + (-1). Step 1: Write the expression. -2 + 8 + (-1) Step 2: Simplify the expression. -2 + 8 - 1 6 - 1 5 The sum is 5. --- Question (implicitly 9, successor): What is the successor of -42? Step 1: Define successor. The successor of an integer is the integer immediately following it on the number line, which is found by adding 1. Step 2: Calculate the successor of -42. -42 + 1 = -41 The successor of -42 is -41. --- Question 9: Write the opposite of: (i) 40 km East (ii) increase in temperature i) The opposite of 40 km East is 40 km West. ii) The opposite of increase in temperature is decrease in temperature. --- Question (implicitly 10, sum): Find the sum of 72 and -84. Step 1: Write the sum. 72 + (-84) Step 2: Simplify the expression. 72 - 84 -12 The sum is -12.