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 dollars.
- Tuesday: The stock's value increased by 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 ( dollars) is greater than the magnitude of the increase on Tuesday ( dollars).
Correct Statement:
The decrease in the stock's value on Monday was greater in magnitude than the increase on Tuesday.
Would you like more details or have any questions?
Relative Questions:
- How would the stock's value be affected if the changes on Monday and Tuesday were reversed?
- If the stock's value started at $100, what would its value be after these two days?
- How does the absolute value of a change help in comparing changes in value?
- What does a negative change in stock value indicate in real-world scenarios?
- 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