Evaluate the numerical expression. 1/2 − (−3/4)

To evaluate the expression 1/2 - (-3/4), we simplify it step by step:

First, let's simplify the subtraction of fractions:
1/2 - (-3/4) = 1/2 + 3/4

To add fractions, they need a common denominator. In this case, the common denominator is 4.
1/2 + 3/4 = 2/4 + 3/4

Now, we can add the fractions, keeping the common denominator:
2/4 + 3/4 = (2 + 3)/4 = 5/4

Therefore, the expression 1/2 - (-3/4) simplifies to 5/4.

Evaluate this expression.

75.5 − 32.55

To evaluate the expression 75.5 - 32.55, subtract 32.55 from 75.5:

75.5 - 32.55 = 42.95

Therefore, the expression 75.5 - 32.55 equals 42.95.

Evaluate this expression.

32 + (−72.1)

To evaluate the expression 32 + (-72.1), we perform the addition:

32 + (-72.1) = -40.1

Therefore, the expression 32 + (-72.1) equals -40.1.

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 9:00 PM, we need to subtract 16.2 degrees from the temperature at noon.

Temperature at 9:00 PM = Temperature at noon - Temperature drop
Temperature at 9:00 PM = 14°F - 16.2°F

Performing the subtraction:
Temperature at 9:00 PM = -2.2°F

Therefore, the temperature at 9:00 PM was -2.2°F.

Determine the value of the expression –5.45 + 4.12 –8.66.

To determine the value of the expression –5.45 + 4.12 –8.66, we perform the addition and subtraction:

–5.45 + 4.12 – 8.66 = -1.33 - 8.66

Now, subtracting:
-1.33 - 8.66 = -9.99

Therefore, the value of the expression –5.45 + 4.12 –8.66 is -9.99.

Simplify.

7.829 − 3.21