Sure! It looks like you're working through a multi-part problem about a submarine's elevation and temperature. Let's tackle each part based on the structure you've provided.
Part A
To express the submarine’s initial elevation as a rational number, you would typically represent its depth below sea level. For example, if the submarine starts at a depth of 300 feet below sea level, you would write this as:
- Initial elevation: -300 (as a rational number)
Part B
To calculate the submarine’s change in elevation, you would use the subtraction operation since you are determining how much the elevation changes as it dives deeper. The words that signify this operation could include "change," "difference," or "dropped."
Part C
If the submarine's initial elevation is -300 feet and it dives an additional 200 feet, the expression representing its new elevation would be:
- Expression: -300 - 200
- To simplify: -300 - 200 = -500
- Final elevation after dive: -500 feet
Part D
The temperature at 502.5 feet below sea level can be expressed as a rational number:
- Temperature: -502.5
Part E
To find the water temperature after the final dive, you would typically use addition, as you would add a decrease in temperature to a starting temperature. Words that signify this operation might be "increase," "add," or "plus."
Part F
If the starting temperature at -300 feet is, say, 4 degrees Celsius and it decreases by 2.5 degrees with each 100 feet of depth, then:
- Expression: 4 - (2.5 * (502.5 / 100))
- To simplify:
- 4 - (2.5 * 5.025) = 4 - 12.5625 = -8.5625
- Final temperature after dive: -8.5625 degrees Celsius
Part G
To convert temperatures from fractions to decimal:
- If the original temperature was 4 degrees Celsius and the decrease was by a fraction (for example, 2.5 can be written as 2.5 directly as a decimal).
- The decimal representation may be:
- Original: 4.0
- Decrease: 2.5 → 2.50
- Temperature after diving: -8.5625 (as shown in Part F).
Part H
To find the water temperature in decimal form after the dive:
- You use the same arithmetic as above since we already did that.
- Thus, the final temperature in decimal remains at: -8.5625 degrees Celsius.
Part I
To determine if the results from Part F (fraction form) and Part H (decimal form) are the same, you would check:
- Both calculations yield the same value: -8.5625 degrees Celsius.
- Therefore, you would state that both methods lead to the same result, confirming the consistency of the calculations.
Self-Evaluation
For your own self-evaluation, consider:
- Rate yourself based on how confident you feel about the calculations and understanding of rational numbers and operations.
- Reflect on what you learned from the process, where you found challenges, and how you overcame them.
Feel free to adjust the specifics based on the actual parameters of your problem scenario!
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