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Chapter 1: Problem 29

In Exercises \(1-72\), compute the value of each expression. $$2-6-7$$

Short Answer

Expert verified
-11

Step by step solution

01

Understand the expression

The given expression is \(2 - 6 - 7\). It involves simple subtraction.
02

Perform the first subtraction

Subtract 6 from 2. Calculate \(2 - 6 = -4\).
03

Perform the second subtraction

Now subtract 7 from the result of the previous step. Calculate\( -4 - 7 = -11\).

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Key Concepts

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

Understanding Subtraction in Algebra
Subtraction is a fundamental arithmetic operation where you take one number away from another. It's represented by the minus sign (-).
Let's break down the original exercise: we start with the expression given as 2 - 6 - 7.
We simplify step-by-step. Remember, subtraction can sometimes produce negative results.
Dealing with Negative Numbers
When dealing with negative numbers, it鈥檚 essential to understand what they represent. Negative numbers are values less than zero.
In the expression 2 - 6 - 7, after subtracting 6 from 2, we get -4. This happens because 2 is less than 6, so we're moving left of zero on the number line.
Following this, subtracting another 7 means moving further left by 7 places, resulting in -11. Understanding how to manage these moves on the number line is key.
Step-by-Step Solutions: A Practical Approach
Using a step-by-step approach clarifies complex problems. Let's revisit our problem: 2 - 6 - 7.
  • Step 1: Understand the expression, recognizing all numbers and operations involved.
  • Step 2: Execute the first operation: 2 - 6. This equals -4.
  • Step 3: Continue with the next operation: -4 - 7. This simplifies to -11.

By breaking down the problem into smaller parts, you methodically navigate through the calculations.

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Most popular questions from this chapter

Locate the given number between two successive integers on the number line. For example, if the given number is \(2.6,\) it is located between 2 and 3 on the number line. $$\frac{-15}{2}$$

Compute the given expression. Round off your answer to two decimal places where necessary. $$12.4-20(0.8)+4.7$$

Graph the given set on a number line. \(\\{a | a \text { is a natural number less than } 12 \text { and not divisible by } 3\\}\)

Sketch the given set on a number line. $$\\{x | 2

In Exercises \(73-84\), evaluate the given expression. $$|6-2|-|2-6|$$
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