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Chapter 1: Problem 54

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

Short Answer

Expert verified
-13

Step by step solution

01

- Compare the Two Numbers

Examine the two numbers given: -8 and -13. When comparing negative numbers, the value that is more negative is actually the smaller number.
02

- Determine the Smaller Number

Identify the smaller number between -8 and -13. Since -13 is more negative than -8, it is the smaller number.

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Key Concepts

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

negative numbers
Negative numbers are numbers that fall below zero on the number line. They are written with a minus sign (鈭�) in front. In real life, negative numbers can represent things like temperatures below freezing, debts, or elevations below sea level.
It's essential to understand that the farther left a number is on the number line, the smaller its value. For instance:
  • -1 is smaller than 0
  • -10 is smaller than -5
  • -1000 is smaller than -500
Once this basic understanding of negative numbers is clear, comparing them becomes easier.
number comparison
When comparing numbers, particularly negative ones, it's crucial to understand their value in relation to each other. Imagine a number line:
  • The leftmost point represents the smallest number.
  • The rightmost point represents the largest number.
For example, consider -8 and -13.
On a number line, -13 is to the left of -8, showing that -13 is smaller than -8. Here, even though 13 seems larger than 8, the negative sign flips this logic.
This is because, with negative numbers, the one with the greater absolute value is actually the smaller number.
lesser value
To determine the lesser value between two negative numbers, check their position relative to each other on the number line.
Let's consider the example from the exercise:
-8 and -13. Since -13 is further to the left than -8, it is the lesser value.
In other words, -13 is 'more negative,' making it smaller.
Remember, when dealing with negative numbers, a higher numeral (absolute value) means a smaller actual value.
So always think about the real position on a number line to find the lesser value.

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Most popular questions from this chapter

Write each sentence as an equation, using \(x\) as the variable. Then find the solution from the set of integers between \(-12\) and \(12,\) inclusive. The quotient of a number and 4 is \(-1\)

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