Math Problem Statement

A stock's value in dollars changed by -5.75 on Monday and +3.25 on Tuesday. Which statement correctly compares the changes in the stock's value?

Solution

To compare the changes in the stock's value, let's analyze the values:

  • Monday: The stock's value decreased by 5.75-5.75 dollars.
  • Tuesday: The stock's value increased by +3.25+3.25 dollars.

Comparison:

  • The change on Monday is negative, indicating a decrease in value.
  • The change on Tuesday is positive, indicating an increase in value.
  • The magnitude of the decrease on Monday (5.755.75 dollars) is greater than the magnitude of the increase on Tuesday (3.253.25 dollars).

Correct Statement:

The decrease in the stock's value on Monday was greater in magnitude than the increase on Tuesday.

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Relative Questions:

  1. How would the stock's value be affected if the changes on Monday and Tuesday were reversed?
  2. If the stock's value started at $100, what would its value be after these two days?
  3. How does the absolute value of a change help in comparing changes in value?
  4. What does a negative change in stock value indicate in real-world scenarios?
  5. How can you calculate the net change in stock value over multiple days?

Tip: When comparing changes in values, always consider both the direction (positive or negative) and the magnitude (absolute value) of the changes.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Comparative Analysis

Formulas

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Theorems

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Suitable Grade Level

General Audience