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Chapter 1: Problem 64

Select the lesser of the two given numbers. -8,-13

Short Answer

Expert verified
-13 is the lesser number.

Step by step solution

01

Compare the two numbers

Understand that comparing two negative numbers involves determining which one is further to the left on the number line. In this case, compare -8 and -13 to see which one is smaller.
02

Identify the number further to the left on the number line

Since -13 is further to the left on the number line compared to -8, -13 is the lesser number.

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Key Concepts

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

number line
A number line is a visual representation of numbers placed on a straight line. The center of the line is zero, and positive numbers extend to the right while negative numbers extend to the left. Each point on the line corresponds to a number, helping us understand their relative positions.
To compare negative numbers, we use the number line to visually see which number is further to the left. For example, if we compare -8 and -13, we place these numbers on the number line. -8 is positioned to the right of -13, indicating -8 is greater than -13.
In summary: A number line helps us visualize the position of numbers relative to each other.
  • Zero is at the center
  • Positive numbers to the right
  • Negative numbers to the left
negative numbers
Negative numbers are numbers less than zero. They are represented with a minus sign (-) and are found on the left side of the number line. Negative numbers have unique properties that set them apart from positive numbers.
When comparing negative numbers, it is helpful to remember that a smaller negative number is further to the left on the number line. For instance, -13 is smaller than -8 because it is more negative and found further left.
Key characteristics of negative numbers:
  • The more negative the number, the smaller its value
  • They are always to the left of zero on the number line
  • Useful in various real-world contexts such as temperature measurements and debt.
comparing values
When comparing values, especially negative numbers, it's essential to understand their positions on the number line. We determine which value is lesser by identifying which number lies further to the left.
For example, to find the lesser value between -8 and -13, we look at their positions on the number line. Since -13 is further to the left than -8, -13 is the lesser number.
Steps to compare values:
  • Visualize or draw a number line
  • Locate each number on the line
  • Identify which number is further left
Always remember, the number further to the left on the number line is the smaller number when comparing two negative numbers.

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Most popular questions from this chapter

Write a numerical expression for each phrase, and simplify the expression. The sum of \(\frac{1}{2}\) and \(\frac{5}{8},\) times the difference of \(\frac{3}{5}\) and \(\frac{1}{3}\)

Use the distributive property to rewrite each expression. $$ -5.2(4 x+2.3) $$

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Use the distributive property to rewrite each expression. $$ -\frac{4}{3}(12 y+15 z) $$
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