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Chapter 1: Problem 59

Add. $$ -9+81+(-2) $$

Short Answer

Expert verified
70

Step by step solution

01

Evaluate First Two Terms

Add the first two numbers in the expression: -9 and 81. \(-9 + 81 = 72\). This simplifies the expression to \(72 + (-2)\).
02

Evaluate Remaining Terms

Add the result from Step 1 to the next term: 72 and -2. \(72 + (-2) = 70\). This gives the final sum of the expression.

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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 can be a bit tricky at first, but they are essential in mathematics. A negative number is simply a number less than zero, indicated by a minus sign (-) in front of it. Negative numbers come into play primarily when dealing with losses, debts, or decreases.

Some basic rules to remember when dealing with negative numbers are:
  • When adding a negative number, it is the same as subtracting the number. For example, adding -2 to a number is the same as subtracting 2.
  • If you add two negative numbers, you add their absolute values and then put a negative sign in front of the result. For example, -3 + (-4) = -(3 + 4) = -7.
  • When subtracting a negative number, it is the same as adding the positive of that number. For example, 9 - (-4) = 9 + 4 = 13.

Remembering these simple rules helps make working with negative numbers much easier.
Step by Step Solution for Integer Addition
Solving integer addition problems step by step can help clarify the process, especially when negative numbers are involved. Let's take the exercise example: First, identify the numbers involved in the expression:
  • Take -9 and 81 as the first set of numbers to be added.

Start by dealing with these two. Remember, adding a negative is like subtracting. So, -9 + 81 means subtracting 9 from 81:\[-9 + 81 = 81 - 9 = 72\]Next, you'll focus on adding the result to the other number in the expression:
  • Add 72 with -2. This is the same as subtracting 2 from 72:
\[72 + (-2) = 72 - 2 = 70\]Following each step distinctly ensures you won't get lost along the way. Step by step solutions aid in understanding and accuracy, which are critical in mathematics.
Simplifying Expressions
Simplifying expressions makes it easier to deal with more complex calculations by breaking them down into simpler parts.

For our example, the original expression -9 + 81 + (-2) may seem daunting at first, but when broken into smaller parts, it becomes manageable. Here鈥檚 how to simplify:
  • Start by evaluating grouped numbers first. In this case, calculate -9 + 81 as a separate entity.
  • Once simplified, move on to the next part with the remaining term, -2, combining it with the previous result.
  • Continue this until all parts of the expression are simplified and combined: -9 + 81 = 72, and then 72 + (-2) = 70.
By systematically working through each component of the expression and simplifying it, you reduce the margin of error and enhance your understanding of integer addition and manipulation.

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Most popular questions from this chapter

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