Problem 103 Simplify. $$ -34-28+(-33)-44... [FREE SOLUTION]

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Chapter 1: Problem 103

Simplify. $$ -34-28+(-33)-44 $$

Short Answer

Expert verified

-139

Step by step solution

- Combine the Negative Numbers

Identify all the negative numbers: $ -34, -28, -33, -44 $. Combine these numbers together: $ -34 - 28 - 33 - 44 $.

- Perform the Addition

Add the negative numbers together step-by-step: $-34 - 28 = -62$, $-62 - 33 = -95$, and $-95 - 44 = -139$.

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Key Concepts

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

Understanding Negative Numbers

Negative numbers are numbers less than zero. They are usually used to represent values like debts or temperatures below zero. For example, -34 means 34 units less than zero.

When adding or subtracting negative numbers, it helps to think of them in terms of direction on a number line. Moving to the left on the number line indicates a negative direction, while moving to the right indicates addition or a positive direction.

When you see multiple negative numbers in an expression, like -34, -28, -33, and -44, remember that each number is moving further left on the number line, making the total more negative.

Steps for Adding Integers

Addition of integers involves combining positive and negative numbers to get a sum. Let's go through the given exercise step-by-step:

First, identify all negative numbers: -34, -28, -33, and -44. Notice that there are no positive numbers here. Combine these negative numbers: -34 - 28 - 33 - 44.

Here's how you add them together:

Start with the first two numbers: $ -34 - 28 = -62 $. This is like moving 34 units left, and then 28 more units left on the number line.
Next, add -33 to -62: $ -62 - 33 = -95 $. Now you are moving 33 more units to the left.
Finally, add -44 to -95: $ -95 - 44 = -139 $. You again move 44 units to the left.

The final result after adding all these negative integers is -139.

Simplifying Expressions with Integers

Simplifying expressions involves combining similar terms to achieve a simpler form. In this exercise, we simplify by combining all the negative terms.

Simplification should be done in an orderly manner, usually following mathematical rules like the order of operations. For expressions involving only addition and subtraction, you can simply move left to right performing each operation step-by-step.

To break it down:

Combine all similar terms first (in this case, all negative integers).
Perform the operations as mentioned in order: $ -34 - 28 - 33 - 44 $
Calculate step by step until you get the final simplified result: $ -139 $.

This process makes it easier to simplify and ensures that you do not miss any numbers.

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91影视

Simplify. $$ -34-28+(-33)-44 $$

Short Answer

Step by step solution

- Combine the Negative Numbers

- Perform the Addition

Key Concepts

Understanding Negative Numbers

Steps for Adding Integers

Simplifying Expressions with Integers

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