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Question
The temperature in Antarctica at noon is 14°F. By 9:00PM, the temperature had dropped by 16.2 degrees. What was the temperature at 9:00PM?
To find the temperature at 9:00PM, we need to subtract 16.2 degrees from the temperature at noon.
Temperature at 9:00PM = Temperature at noon - Temperature drop
Temperature at 9:00PM = 14°F - 16.2°F
To subtract decimals, we align the numbers and subtract each digit separately:
1 4 . 0
- 1 6 . 2
___________
- 2 . 2
Therefore, the temperature at 9:00PM was -2.2°F.
Evaluate 4 1/2 − 2 − 5 2/3
To evaluate this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's simplify the subtraction:
4 1/2 - 2 - 5 2/3
Next, let's convert all the mixed numbers to improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Now, we can substitute the simplified fractions back into the expression:
9/2 - 2 - 17/3
To subtract fractions, we need to find a common denominator. The common denominator of 2 and 3 is 6.
Now, we can rewrite the fractions with the common denominator:
(9/2)(3/3) - (2)(3/3) - (17/3)(2/2)
= 27/6 - 6/6 - 34/6
Subtract the numerators:
= (27 - 6 - 34) / 6
= -13/6
Therefore, the value of the expression 4 1/2 − 2 − 5 2/3 is -13/6.
what is 13/6 as a mixed number?
To convert the improper fraction 13/6 into a mixed number, we divide the numerator (13) by the denominator (6).
Dividing 13 by 6 gives us a quotient of 2 with a remainder of 1.
Therefore, the mixed number representation of 13/6 is 2 1/6.
Evaluate this expression.
75.5 − 32.55
To evaluate the expression 75.5 - 32.55, we simply subtract the two numbers.
75.5 - 32.55 = 42.95
Therefore, the value of the expression 75.5 - 32.55 is 42.95.
Evaluate this expression.
32 + (−72.1)
To evaluate the expression 32 + (-72.1), we simply add the two numbers.
32 + (-72.1) = -40.1
Therefore, the value of the expression 32 + (-72.1) is -40.1.
Evaluate the numerical expression.
1/2 − (−3/4)