1. What is the sum of the integers -30, -15, -10, -20, and -15?

2. Two integers a and b are such that a ÷ b = -2. What are the possible values of (a, b)?

The sum of -30, -15, -10, -20, and -15 is -90. The possible integer pairs (a, b) that satisfy the equation a ÷ b = -2 include (-2, 1), (2, -1), (-4, 2), and (4, -2).
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Answered by Anonymous | 2025-07-04

Let's address the two parts of your question step-by-step.

Finding the Sum of the Integers :
We are given a list of integers: − 30 , − 15 , − 10 , − 20 , and − 15 . To find the sum of these integers, we simply add them together:
( − 30 ) + ( − 15 ) + ( − 10 ) + ( − 20 ) + ( − 15 )
When adding negative numbers, imagine you are moving to the left on a number line, which means the sum will be more negative.
Let's add them step-by-step:



− 30 + ( − 15 ) = − 45

− 45 + ( − 10 ) = − 55

− 55 + ( − 20 ) = − 75

− 75 + ( − 15 ) = − 90
Therefore, the sum of the integers is − 90 .



Finding Possible Values of ( a , b ) :
We are given the condition that a ÷ b = − 2 . This can be rewritten as a = − 2 b .
To find pairs ( a , b ) that satisfy this equation, we can choose different values for b and determine a . Here are some possibilities:



If b = 1 , then a = − 2 × 1 = − 2 , so one pair is ( − 2 , 1 ) .

If b = − 1 , then a = − 2 × ( − 1 ) = 2 , so another pair is ( 2 , − 1 ) .

If b = 2 , then a = − 2 × 2 = − 4 , so another pair is ( − 4 , 2 ) .

If b = − 2 , then a = − 2 × ( − 2 ) = 4 , so another pair is ( 4 , − 2 ) .
This equation allows for infinitely many solutions since b can be any non-zero integer, and a will be determined accordingly.


In summary, the sum of the given integers is − 90 , and any integer pair ( a , b ) where a = − 2 b is a potential solution for the second part.

Answered by OliviaMariThompson | 2025-07-06