1. 2/3 - 5/4
-3
-3/12
23/12
-17/12
2. -6.1 + 1.7
7.8
-4.4
-7.8
4.4
3. -1.8 - 3.9
-2.1
5.7
2.1
-5.7
4. A mountain climber ascends a mountain to its peak. The peak is 12,740 feet above sea level. The climber then descends 200 feet to meet a fellow climber. Find te climber's elevation above sea level after meeting the other climber.
12,540 feet above sea level
12,540 feet below sea level
10,740 feet above sea level
12,940 feet above sea level
My answers:
1. -17/12
2. -4.4
3. -5.7
4. 12,540 feet above sea level
I'm not sure about your first answer. The others are correct.
#1. 8/12 - 15/12 = -7/12
typo?
#2 ok
#3 ok
#4 ok
Your answers are partially correct. Let's go through each question step by step:
1. To subtract fractions, you need a common denominator. The common denominator for 2/3 and 5/4 is 12.
So, the calculation becomes (8/12) - (15/12) = -7/12.
Therefore, the correct answer is -7/12, not -17/12.
2. To add decimal numbers, simply align the decimal points and add the numbers together.
-6.1 + 1.7 = -4.4
So, your answer of -4.4 is correct.
3. To subtract decimal numbers, again, align the decimal points and subtract the numbers.
-1.8 - 3.9 = -5.7
So, your answer of -5.7 is correct.
4. Since the climber descends 200 feet from the peak, the calculation is:
12,740 feet - 200 feet = 12,540 feet
So, your answer of 12,540 feet above sea level is correct.
To recap:
1. The correct answer is -7/12.
2. Your answer is correct (-4.4).
3. Your answer is correct (-5.7).
4. Your answer is correct (12,540 feet above sea level).