Place the following numbers in order as they would appear on a number line, left to right: −2.0, 0.25, −1.02, 1.98.(1 point)
Responses
0.25, −1.02, 1.98, −2.0
0.25, negative 1.02 , 1.98, negative 2.0
1.98, 0.25, −1.02, −2.0
1.98, 0.25, negative 1.02 , negative 2.0
−1.02, −2.0, 0.25, 1.98
negative 1.02 , negative 2.0 , 0.25, 1.98
−2.0, −1.02, 0.25, 1.98
29 answers
−2.0, −1.02, 0.25, 1.98
Find the sum of p and q if p=34 and q=−114. Reduce your answer to lowest terms.(1 point)
To find the sum of p and q, we simply add the two values together:
p + q = 34 + (−114) = -80
Therefore, the sum of p and q is -80.
p + q = 34 + (−114) = -80
Therefore, the sum of p and q is -80.
Find the sum of p and q if p=3/4 and q=−11/4. Reduce your answer to lowest terms.(1 point)
To find the sum of p and q, we add the two values together:
p + q = 3/4 + (-11/4)
To add fractions with like denominators, we add the numerators and keep the denominator the same:
p + q = (3 + (-11))/4 = -8/4
Next, we simplify the fraction to lowest terms:
-8/4 = -2
Therefore, the sum of p and q, reduced to lowest terms, is -2.
p + q = 3/4 + (-11/4)
To add fractions with like denominators, we add the numerators and keep the denominator the same:
p + q = (3 + (-11))/4 = -8/4
Next, we simplify the fraction to lowest terms:
-8/4 = -2
Therefore, the sum of p and q, reduced to lowest terms, is -2.
Add (−12) and (−15).(1 point)
Responses
3
3
−3
negative 3
27
27
−27
Responses
3
3
−3
negative 3
27
27
−27
To add −12 and −15, we simply add the two values together:
-12 + (-15) = -27
Therefore, the sum of −12 and −15 is −27.
-12 + (-15) = -27
Therefore, the sum of −12 and −15 is −27.
Add 10.82+(−15.96).(1 point)
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$$
To add 10.82 and -15.96, we simply add the two values together:
10.82 + (-15.96) = -5.14
Therefore, the sum of 10.82 and -15.96 is -5.14.
10.82 + (-15.96) = -5.14
Therefore, the sum of 10.82 and -15.96 is -5.14.
Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)
Responses
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Responses
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
The real-world problem that could be solved with the sum 102.50+(−39.95) is:
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Solve the following problem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
To find the temperature now, we need to subtract the change in temperature from the initial temperature:
Temperature now = Initial temperature + Change in temperature
Temperature now = 13°C + (-18.6)°
Temperature now = 13°C - 18.6°C
Temperature now = -5.6°C
Therefore, the temperature now is -5.6°C.
Temperature now = Initial temperature + Change in temperature
Temperature now = 13°C + (-18.6)°
Temperature now = 13°C - 18.6°C
Temperature now = -5.6°C
Therefore, the temperature now is -5.6°C.
Use the additive inverse to find −492.89−(−871.78).(1 point)
To find the result of −492.89−(−871.78) using the additive inverse, we can rewrite the expression as −492.89+871.78.
Adding the additive inverse of a number is the same as subtracting that number:
−492.89+871.78 = 378.89
Therefore, the result of −492.89−(−871.78) is 378.89.
Adding the additive inverse of a number is the same as subtracting that number:
−492.89+871.78 = 378.89
Therefore, the result of −492.89−(−871.78) is 378.89.
Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
20.71
20.71
−15.81
negative 15.81
−20.71
negative 20.71
15.81
Responses
20.71
20.71
−15.81
negative 15.81
−20.71
negative 20.71
15.81
To find the distance between −18.26 and −2.45, we can subtract the two values and take the absolute value of the result:
Distance = |-18.26 - (-2.45)|
Simplifying the subtraction inside the absolute value:
Distance = |-18.26 + 2.45|
Distance = |-15.81|
Therefore, the distance between −18.26 and −2.45 on a number line is 15.81.
Distance = |-18.26 - (-2.45)|
Simplifying the subtraction inside the absolute value:
Distance = |-18.26 + 2.45|
Distance = |-15.81|
Therefore, the distance between −18.26 and −2.45 on a number line is 15.81.
Subtract 24−(−15).(1 point)
To subtract 24−(−15), we can rewrite it as 24+15:
24 + 15 = 39
Therefore, the result of 24−(−15) is 39.
24 + 15 = 39
Therefore, the result of 24−(−15) is 39.
What is 17 4/9 + 5/9 − 8 − 10?(1 point)
Responses
−1
negative 1
−7
negative 7
0
0
20
20
Responses
−1
negative 1
−7
negative 7
0
0
20
20
To correctly solve the expression 17 4/9 + 5/9 - 8 - 10, we need to follow the order of operations, which states that we should first perform any operations inside parentheses, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
However, since there are no parentheses or multiplication/division operations in this expression, we can simply perform the addition and subtraction from left to right:
17 4/9 + 5/9 - 8 - 10 = (17 + 4/9) + 5/9 - 8 - 10 = (153/9 + 4/9) + 5/9 - 8 - 10 = 157/9 + 5/9 - 8 - 10
Now, let's combine the fractions:
(157 + 5)/9 - 8 - 10 = 162/9 - 8 - 10
Next, let's simplify the fraction:
18 - 8 - 10 = 10 - 10 = 0
Therefore, the result of the expression 17 4/9 + 5/9 - 8 - 10 is 0.
However, since there are no parentheses or multiplication/division operations in this expression, we can simply perform the addition and subtraction from left to right:
17 4/9 + 5/9 - 8 - 10 = (17 + 4/9) + 5/9 - 8 - 10 = (153/9 + 4/9) + 5/9 - 8 - 10 = 157/9 + 5/9 - 8 - 10
Now, let's combine the fractions:
(157 + 5)/9 - 8 - 10 = 162/9 - 8 - 10
Next, let's simplify the fraction:
18 - 8 - 10 = 10 - 10 = 0
Therefore, the result of the expression 17 4/9 + 5/9 - 8 - 10 is 0.
Which context describes a difference of rational numbers?(1 point)
Responses
A football player gains yards on a play.
A football player gains yards on a play.
A football player loses yards on a play.
A football player loses yards on a play.
The team’s score did not change during the game.
The team’s score did not change during the game.
The team’s score increased when scoring.
Responses
A football player gains yards on a play.
A football player gains yards on a play.
A football player loses yards on a play.
A football player loses yards on a play.
The team’s score did not change during the game.
The team’s score did not change during the game.
The team’s score increased when scoring.
The correct context that describes a difference of rational numbers is:
A football player loses yards on a play.
When a football player loses yards, it represents a decrease or subtraction of a quantity, which can be represented by a difference of rational numbers.
A football player loses yards on a play.
When a football player loses yards, it represents a decrease or subtraction of a quantity, which can be represented by a difference of rational numbers.
Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home? Write your answer as a mixed number only.(1 point)
Joey was
meters from home.
Joey was
meters from home.
To find how far Joey was from home, we can subtract the distance he walked west from the distance he walked east:
15 2/3 - 21 3/4
First, let's convert both mixed numbers to improper fractions:
15 2/3 = (3*15 + 2)/3 = 47/3
21 3/4 = (4*21 + 3)/4 = 87/4
Now, let's subtract the fractions:
47/3 - 87/4
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12:
47/3 * 4/4 = 188/12
87/4 * 3/3 = 261/12
Now we can subtract the fractions:
188/12 - 261/12 = -73/12
Finally, let's express the result as a mixed number:
-73/12 = -6 1/12
Therefore, Joey was 6 1/12 meters from home.
15 2/3 - 21 3/4
First, let's convert both mixed numbers to improper fractions:
15 2/3 = (3*15 + 2)/3 = 47/3
21 3/4 = (4*21 + 3)/4 = 87/4
Now, let's subtract the fractions:
47/3 - 87/4
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12:
47/3 * 4/4 = 188/12
87/4 * 3/3 = 261/12
Now we can subtract the fractions:
188/12 - 261/12 = -73/12
Finally, let's express the result as a mixed number:
-73/12 = -6 1/12
Therefore, Joey was 6 1/12 meters from home.
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
Responses
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
The situation that describes opposite quantities that, when combined, would equal 0 is:
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
In this situation, the ascent of 15,000 feet is offset by the descent of 15,000 feet, resulting in a net change of 0 and the plane being at the same level as the ground.
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
In this situation, the ascent of 15,000 feet is offset by the descent of 15,000 feet, resulting in a net change of 0 and the plane being at the same level as the ground.
Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.(4 points)
To find the change in temperature during the three hours, we can subtract the temperature at 9 a.m. from the temperature at noon:
Change in temperature = Temperature at noon - Temperature at 9 a.m.
Let's substitute the given values into the equation:
Change in temperature = (-1.6)°C - (-5.8)°C
To subtract a negative number, we can change the subtraction to addition:
Change in temperature = (-1.6)°C + 5.8°C
Now we can perform the addition:
Change in temperature = 4.2°C
The change in temperature during these three hours is 4.2 degrees Celsius.
This means that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.
Change in temperature = Temperature at noon - Temperature at 9 a.m.
Let's substitute the given values into the equation:
Change in temperature = (-1.6)°C - (-5.8)°C
To subtract a negative number, we can change the subtraction to addition:
Change in temperature = (-1.6)°C + 5.8°C
Now we can perform the addition:
Change in temperature = 4.2°C
The change in temperature during these three hours is 4.2 degrees Celsius.
This means that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.