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Chapter 2: Problem 26

Add the numbers with the same sign. $$-7+(-9)$$

Short Answer

Expert verified
-16

Step by step solution

01

Identify the numbers

Notice that the numbers to be added are \( -7 \) and \( -9 \). Both numbers are negative.
02

Combine absolute values

Add the absolute values of the numbers: \( |7| + |9| \). This gives \( 7 + 9 = 16 \).
03

Attach the original sign

Since both original numbers were negative, attach the negative sign to the result of the previous step. The final result is \( -16 \).

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Key Concepts

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

addition rules
Adding numbers, positive or negative, follows rules that help simplify calculations. Here are the key rules:

1. When adding two positive numbers, simply add their values as normal.
2. When adding two negative numbers, add their absolute values and then attach a negative sign to the result.
3. When adding a positive number to a negative number, subtract the smaller absolute value from the larger absolute value, and take the sign of the number with the larger absolute value.

Let's see these rules in action with our exercise -7 + ( -9 ):

1. Identify that both numbers are negative.
2. Add their absolute values: 7 + 9 = 16.
3. Attach the negative sign to get the final answer: -16.

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