Problem 41
Question
Find each sum without the use of a number line. $$17+(-4)+2+3+(-10)$$
Step-by-Step Solution
Verified Answer
The sum of the given numbers is 8.
1Step 1: Group positive and negative numbers
Group all positive numbers together and negative numbers together. This means grouping 17, 2, and 3 together, and -4 and -10 together. So the equation will look this way: (17 + 2 + 3) + (-4 + -10).
2Step 2: Solve for each group
Now solve the addition for each group. The sum of positive numbers (17, 2, 3) is 22, and the sum of negative numbers (-4, -10) is -14. So now we have 22 + (-14).
3Step 3: Adding a Negative is Same as Subtraction
Remember, adding a negative number is the same as subtracting that number, so rewrite 22 + (-14) as 22 - 14.
4Step 4: Subtract
Simply subtract 14 from 22 to get the final result which is 8.
Other exercises in this chapter
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