Math Problem Statement

which number has a lesser magnitude -4 and -5

Solution

To determine which number has a lesser magnitude between 4-4 and 5-5, we compare their absolute values:

  • The absolute value of 4-4 is 4=4|-4| = 4.
  • The absolute value of 5-5 is 5=5|-5| = 5.

Since 4 is less than 5, 4-4 has a lesser magnitude than 5-5.

Summary:

4-4 has a lesser magnitude than 5-5.

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Related Questions:

  1. What is the absolute value of a negative number?
  2. How do you compare the magnitude of positive and negative numbers?
  3. Why is magnitude important in mathematics?
  4. How do absolute values affect the ordering of numbers?
  5. What is the difference between magnitude and value?

Tip: The magnitude of a number is always non-negative because it measures the distance from zero.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Magnitude Comparison
Negative Numbers

Formulas

|x| = absolute value of x

Theorems

Absolute Value Theorem

Suitable Grade Level

Grades 6-8