Simplify.
425.82 − (−120.75)
Responses
A 305.07305.07
B 413.47413.47
C 496.57496.57
D 546.57
To simplify the expression 425.82 − (−120.75), we need to subtract the negative value from the positive value.
Thus,
425.82 − (−120.75) = 425.82 + 120.75 = 546.57
Therefore, the simplified expression is 546.57.
The correct answer is D. 546.57.
To simplify the expression 425.82 - (-120.75), you need to remember the rule for subtracting a negative number.
When you subtract a negative number, it is the same as adding the positive value of that number.
So, to simplify the expression, you can change the subtraction to addition by changing the sign of the negative number:
425.82 + 120.75
Now you can add the numbers:
425.82 + 120.75 = 546.57
Therefore, the simplified answer is D) 546.57.
To simplify the expression 425.82 - (-120.75), we need to apply the rule that states subtracting a negative number is the same as adding its positive counterpart.
So, we can rewrite the expression as follows: 425.82 + 120.75.
Adding the two numbers, we have:
425.82 + 120.75 = 546.57.
Therefore, the simplified result is 546.57.
So, the correct answer is option D: 546.57.
Simplify.
7.829 − 3.21
Responses
A 3.127
B 4.209
C 4.619
D 11.039
To simplify the expression 7.829 − 3.21, we subtract the second number from the first.
7.829 − 3.21 = 4.619
Therefore, the simplified expression is 4.619.
The correct answer is C. 4.619.
Evaluate this expression.
75.5 − 32.55
Responses
A 33.65
B 41.65
C 42.95
D 108.05
To evaluate the expression 75.5 − 32.55, we subtract the second number from the first.
75.5 − 32.55 = 42.95
Therefore, the value of the expression is 42.95.
The correct answer is C. 42.95.
What is the value of the expression −6 4/9 − 1 1/3?
Responses
A. 7 7/9
B. -7 7/9
C. 5 1/9
D. -5 1/9
To find the value of the expression -6 4/9 - 1 1/3, we first need to convert the mixed numbers to improper fractions.
-6 4/9 can be written as -(6*9 + 4)/9 = -58/9.
-1 1/3 can be written as -(1*3 + 1)/3 = -4/3.
Now, we can subtract the two fractions:
-58/9 - 4/3.
To subtract fractions, we need to find a common denominator. The common denominator here is 9 * 3 = 27.
Converting the fractions to have a denominator of 27:
-58/9 = -58/9 * 3/3 = -174/27.
-4/3 = -4/3 * 9/9 = -36/27.
Now, we can subtract the fractions:
-174/27 - 36/27 = (-174 - 36)/27 = -210/27.
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-210/27 = -210/27 ÷ 3/3 = -70/9.
So, the value of the expression is -70/9.
The correct answer is not provided in the options.