Problem 42
Question
Find each sum without the use of a number line. $$19+(-5)+1+8+(-13)$$
Step-by-Step Solution
Verified Answer
The sum is 10
1Step 1: Grouping Similar Terms
Group together positive numbers and negative numbers for easy calculation. From the expression, positive numbers are \(19\), \(1\), and \(8\). Negative numbers are \(-5\) and \(-13\). The new form will be \(19+1+8+(-5)+(-13)\).
2Step 2: Calculate The Sum of Similar Terms
Calculate the sum of positive numbers: \(19+1+8=28\). Calculate the sum of negative numbers: \(-5-13=-18\). This gives us a new expression, which is \(28-18\).
3Step 3: Final Calculation
Perform the final calculation. The expression becomes \(28-18=10\) when simplified.
4Step 4: Write the Answer
The sum of the expression \(19+(-5)+1+8+(-13)\) without using a number line is \(10\).
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Problem 42
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