Problem 11 Add. Do not use the number line ... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 10: Problem 11

Add. Do not use the number line except as a check. $$ 0+(-27) $$

Short Answer

Expert verified

-27

Step by step solution

Understand the Problem

The problem requires adding two numbers, 0 and -27.

Identify the Operation

We need to perform addition on 0 and -27.

Apply the Addition Rule

Adding zero to any number does not change the value of that number. Thus, o + (-27) = -27.

Verify Using a Number Line

As a check (but without writing it here), you would start at 0 on the number line and move 27 units to the left because you are adding -27.

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Key Concepts

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

Addition Rules

In mathematics, addition rules are quite straightforward. Whenever you are combining two numbers, the result you get is called the sum. The basic rule is adding positive and negative numbers carefully:

Adding a positive number to another positive number increases the value.
Adding a negative number (or subtracting a number) from a positive number decreases the value.
Adding zero to any number keeps that number the same.

These simple rules help you understand basic addition easily. Remember, patience is key to mastering these addition rules.

Negative Numbers

Negative numbers can be a bit confusing at first, but with practice, they become easier to understand. Here are a few essential points about negative numbers:

A negative number is any number less than zero and usually has a minus (-) sign in front of it, like -5 or -27.
Negative numbers are opposite to positive numbers on the number line. They are placed to the left of zero.
When you add a negative number, you are essentially subtracting the absolute value of that number.

For example, when you add -27 to 0, you are moving to the left of the number line by 27 units. As a result, 0 + (-27) = -27.

Number Line

A number line is a visual tool that helps you understand the position and relationships between numbers. Here鈥檚 how it works:

A number line is a straight line with numbers placed at intervals. Zero is usually in the middle, with positive numbers to the right and negative numbers to the left.
Each movement to the right increases the value, while each movement to the left decreases the value.

For instance, to determine the result of 0 + (-27) on a number line, you would start at zero and count 27 units to the left. This gives you -27. Using a number line can be a great way to check your addition and understand the concept of positive and negative movements.

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91影视

Add. Do not use the number line except as a check. $$ 0+(-27) $$

Short Answer

Step by step solution

Understand the Problem

Identify the Operation

Apply the Addition Rule

Verify Using a Number Line

Key Concepts

Addition Rules

Negative Numbers

Number Line

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