Problem 64 Simplify. $$14+(-15)+20+(-42)$... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 2: Problem 64

Simplify. $$14+(-15)+20+(-42)$$

Short Answer

Expert verified

-23

Step by step solution

- Group positive and negative numbers

First, identify and separate the positive and negative numbers in the expression. The positive numbers are 14 and 20, and the negative numbers are -15 and -42.

- Sum the positive numbers

Add the positive numbers together: 14 + 20 = 34

- Sum the negative numbers

Now, add the negative numbers together: -15 + (-42) = -57

- Combine the sums

Finally, add the sum of the positive numbers to the sum of the negative numbers: 34 + (-57) = -23

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Grouping Positive and Negative Numbers

When simplifying expressions involving positive and negative numbers, it鈥檚 essential to first group them separately. This makes the process manageable and less confusing.

In our exercise, we have the expression: 14 + (-15) + 20 + (-42).

- **Positive numbers:** 14 and 20.
- **Negative numbers:** -15 and -42.

By separating these, we can handle the sums of each group individually before combining the results.

Sum of Positive Numbers

After you鈥檝e grouped the positive and negative numbers, the next step is to find the sum of the positive numbers. This involves straightforward addition.

For our positive numbers 14 and 20, we add them together:

\[ 14 + 20 = 34 \]

This sum represents the total of all positive contributions in the original expression.

Sum of Negative Numbers

Next, we need to find the sum of the negative numbers. Remember, adding negative numbers is similar to combining debts 鈥� they increase the total negative value.

For our negative numbers -15 and -42, we add:

\[ -15 + (-42) = -57 \]

This sum represents the total of all negative contributions in the original expression.

Combining Sums

Once we have the sums of the positive and negative numbers, the final step is to combine these sums. Essentially, this step determines the overall positive or negative result of the entire expression.

We have:

- Sum of positive numbers: 34
- Sum of negative numbers: -57

Adding these together:

\[ 34 + (-57) = -23 \]

The combined result is -23, which is the simplified form of our original expression.

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91影视

Simplify. $$14+(-15)+20+(-42)$$

Short Answer

Step by step solution

- Group positive and negative numbers

- Sum the positive numbers

- Sum the negative numbers

- Combine the sums

Key Concepts

Grouping Positive and Negative Numbers

Sum of Positive Numbers

Sum of Negative Numbers

Combining Sums

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