Question
Simplify.
7 2/3+ −5 1/4
7 2/3+ −5 1/4
Answers
Answer
Determine the value of the expression –5.45 + 4.12 –8.66.
Answer
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?
Answer
Evaluate the numerical expression.
1/2
− (−3/4
)
1/2
− (−3/4
)
Answer
Evaluate 4 1/2 − 2− 5 2/3
Answer
Evaluate 4 1/2 − 2− 5 2/3
A
–3 1
6 –3 1 6
B
12 1
6 12 1 6
C
2 1
62 1 6
D
–4 1
6
A
–3 1
6 –3 1 6
B
12 1
6 12 1 6
C
2 1
62 1 6
D
–4 1
6
Answer
Evaluate this expression.
75.5 − 32.55
75.5 − 32.55
Answer
Evaluate this expression.
32 + (−72.1)
32 + (−72.1)
Answer
5.36 × -3.1
Responses
A 16.61616.616
B 13.32313.323
C -13.323-13.323
D -16.616-16.616
Responses
A 16.61616.616
B 13.32313.323
C -13.323-13.323
D -16.616-16.616
Answer
−0.539 ÷ (−0.11) =
Responses
A 5.45.4
B 4.94.9
C −4.9−4.9
D −5.4
Responses
A 5.45.4
B 4.94.9
C −4.9−4.9
D −5.4
Answer
-4.32 × -1.25
Responses
A -5.4-5.4
B -6.125-6.125
C 5.45.4
D 6.125
Responses
A -5.4-5.4
B -6.125-6.125
C 5.45.4
D 6.125
Answer
(2.5)(−1.3) =
Responses
A 3.253.25
B 1.21.2
C −1.2−1.2
D −3.25
Responses
A 3.253.25
B 1.21.2
C −1.2−1.2
D −3.25
Answered by
GPT 3.5
To simplify the expression 7 2/3 + (-5 1/4), first convert the mixed numbers into improper fractions:
7 2/3 = 7 + 2/3 = (7*3 + 2)/3 = 23/3
-5 1/4 = -5 + 1/4 = (4*-5 + 1)/4 = -19/4
Next, add the two fractions:
23/3 + (-19/4)
To combine the fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
23/3 = (23*4)/(3*4) = 92/12
-19/4 = (-19*3)/(4*3) = -57/12
Now we can add the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, 7 2/3 + (-5 1/4) simplifies to 35/12.
7 2/3 = 7 + 2/3 = (7*3 + 2)/3 = 23/3
-5 1/4 = -5 + 1/4 = (4*-5 + 1)/4 = -19/4
Next, add the two fractions:
23/3 + (-19/4)
To combine the fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
23/3 = (23*4)/(3*4) = 92/12
-19/4 = (-19*3)/(4*3) = -57/12
Now we can add the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, 7 2/3 + (-5 1/4) simplifies to 35/12.
Answered by
GPT 3.5
To find the value of the expression –5.45 + 4.12 – 8.66, simply add or subtract the numbers:
–5.45 + 4.12 – 8.66 = –9.11
Therefore, the value of the expression –5.45 + 4.12 – 8.66 is –9.11.
–5.45 + 4.12 – 8.66 = –9.11
Therefore, the value of the expression –5.45 + 4.12 – 8.66 is –9.11.
Answered by
GPT 3.5
To find the temperature at 9:00 PM, subtract 16.2 degrees from the temperature at noon.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
Answered by
GPT 3.5
To evaluate the numerical expression 1/2 - (-3/4), we can simplify:
1/2 - (-3/4)
To subtract a negative number, we can change it to addition:
1/2 + 3/4
Now we need to find a common denominator, which is 4:
1/2 + (3/4)*(2/2)
1/2 + 6/8
Now we can add the fractions:
1/2 + 6/8 = (4/8) + (6/8) = 10/8
The fraction 10/8 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:
10/8 = (10/2) / (8/2) = 5/4
Therefore, 1/2 - (-3/4) simplifies to 5/4.
1/2 - (-3/4)
To subtract a negative number, we can change it to addition:
1/2 + 3/4
Now we need to find a common denominator, which is 4:
1/2 + (3/4)*(2/2)
1/2 + 6/8
Now we can add the fractions:
1/2 + 6/8 = (4/8) + (6/8) = 10/8
The fraction 10/8 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:
10/8 = (10/2) / (8/2) = 5/4
Therefore, 1/2 - (-3/4) simplifies to 5/4.
Answered by
GPT 3.5
To evaluate the expression 4 1/2 - 2 - 5 2/3, first convert the mixed numbers into improper fractions:
4 1/2 = 4 + 1/2 = (4*2 + 1)/2 = 9/2
5 2/3 = 5 + 2/3 = (5*3 + 2)/3 = 17/3
Now, substitute these fractions into the expression:
9/2 - 2 - 17/3
Next, we need to find a common denominator, which is 6:
(9/2)*(3/3) - (2/1)*(6/6) - (17/3)*(2/2)
= 27/6 - 12/6 - 34/6
Now we can subtract the fractions:
27/6 - 12/6 - 34/6 = (27 - 12 - 34)/6 = -19/6
Therefore, 4 1/2 - 2 - 5 2/3 simplifies to -19/6.
4 1/2 = 4 + 1/2 = (4*2 + 1)/2 = 9/2
5 2/3 = 5 + 2/3 = (5*3 + 2)/3 = 17/3
Now, substitute these fractions into the expression:
9/2 - 2 - 17/3
Next, we need to find a common denominator, which is 6:
(9/2)*(3/3) - (2/1)*(6/6) - (17/3)*(2/2)
= 27/6 - 12/6 - 34/6
Now we can subtract the fractions:
27/6 - 12/6 - 34/6 = (27 - 12 - 34)/6 = -19/6
Therefore, 4 1/2 - 2 - 5 2/3 simplifies to -19/6.
Answered by
GPT 3.5
The correct solution is:
4 1/2 - 2 - 5 2/3 =
Convert the mixed numbers to improper fractions:
4 1/2 = 4 + 1/2 = (4 * 2 + 1)/2 = 9/2
5 2/3 = 5 + 2/3 = (5 * 3 + 2)/3 = 17/3
Now substitute these fractions into the expression:
9/2 - 2 - 17/3
Next, find a common denominator, which is 6:
(9/2) * (3/3) - (2/1) * (6/6) - (17/3) * (2/2) =
27/6 - 12/6 - 34/6
Now subtract the fractions:
(27 - 12 - 34)/6 = -19/6
Therefore, the answer is option D: -4 1/6
4 1/2 - 2 - 5 2/3 =
Convert the mixed numbers to improper fractions:
4 1/2 = 4 + 1/2 = (4 * 2 + 1)/2 = 9/2
5 2/3 = 5 + 2/3 = (5 * 3 + 2)/3 = 17/3
Now substitute these fractions into the expression:
9/2 - 2 - 17/3
Next, find a common denominator, which is 6:
(9/2) * (3/3) - (2/1) * (6/6) - (17/3) * (2/2) =
27/6 - 12/6 - 34/6
Now subtract the fractions:
(27 - 12 - 34)/6 = -19/6
Therefore, the answer is option D: -4 1/6
Answered by
GPT 3.5
To evaluate the expression 75.5 - 32.55, simply subtract the numbers:
75.5 - 32.55 = 42.95
Therefore, the value of the expression 75.5 - 32.55 is 42.95.
75.5 - 32.55 = 42.95
Therefore, the value of the expression 75.5 - 32.55 is 42.95.
Answered by
GPT 3.5
To evaluate the expression 32 + (-72.1), simply add the numbers:
32 + (-72.1) = -40.1
Therefore, the value of the expression 32 + (-72.1) is -40.1.
32 + (-72.1) = -40.1
Therefore, the value of the expression 32 + (-72.1) is -40.1.
Answered by
GPT 3.5
To evaluate the expression 5.36 × -3.1, multiply the numbers:
5.36 × -3.1 = -16.616
Therefore, the value of the expression 5.36 × -3.1 is approximately -16.616.
The correct answer is option D: -16.616.
5.36 × -3.1 = -16.616
Therefore, the value of the expression 5.36 × -3.1 is approximately -16.616.
The correct answer is option D: -16.616.
Answered by
GPT 3.5
To evaluate the expression −0.539 ÷ (−0.11), divide the numbers:
−0.539 ÷ (−0.11) = 4.9
Therefore, the value of the expression −0.539 ÷ (−0.11) is 4.9.
The correct answer is option B: 4.9.
−0.539 ÷ (−0.11) = 4.9
Therefore, the value of the expression −0.539 ÷ (−0.11) is 4.9.
The correct answer is option B: 4.9.
Answered by
GPT 3.5
To evaluate the expression -4.32 × -1.25, simply multiply the numbers:
-4.32 × -1.25 = 5.4
Therefore, the value of the expression -4.32 × -1.25 is 5.4.
The correct answer is option C: 5.4.
-4.32 × -1.25 = 5.4
Therefore, the value of the expression -4.32 × -1.25 is 5.4.
The correct answer is option C: 5.4.
Answered by
GPT 3.5
To evaluate the expression (2.5)(-1.3), simply multiply the numbers:
(2.5)(-1.3) = -3.25
Therefore, the value of the expression (2.5)(-1.3) is -3.25.
The correct answer is option D: -3.25.
(2.5)(-1.3) = -3.25
Therefore, the value of the expression (2.5)(-1.3) is -3.25.
The correct answer is option D: -3.25.
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