The diagram included should explain this.
Emma calculated the slope of the downhill hike to be . Her work is shown below. Determine whether her calculation was correct or
incorrect, and then explain why. (2 points: 1 for the answer, 1 for the explanation)
7. Confirm or disprove Emma's work by using two other points from the slope of the downhill hike. (1 point)
8. What does the slope tell you about the rate of change in elevation during descent? (1 point for identifying the rate of change)
7. Confirm or disprove Emma's work by using two other points from the slope of the downhill hike. (1 point)
8. What does the slope tell you about the rate of change in elevation during descent? (1 point for identifying the rate of change)
1 answer:
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Given:
The recurring decimal is .
To prove:
Algebraically that the recurring decimal can be written as
.
Proof:
Let,
Multiply both sides by 100.
...(i)
Multiply both sides by 10.
...(ii)
Subtract (i) from (ii).
Divide both sides by 900.
So, .
Hence proved.