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
−1.02, −2.0, 0.25, 1.98
negative 1.02 , negative 2.0 , 0.25, 1.98
−2.0, −1.02, 0.25, 1.98
negative 2.0 , negative 1.02 , 0.25, 1.98
1.98, 0.25, −1.02, −2.0
−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 values of p and q together:
p + q = 34 + (-114)
p + q = -80
Therefore, the sum of p and q is -80.
Add (−12) and (−15).(1 point)
Responses
27
27
−3
negative 3
3
3
−27
To add -12 and -15, we simply add the values together:
(-12) + (-15) = -27
Therefore, the sum of -12 and -15 is -27.
Add 10.82+(−15.96).(1 point)
$$
To add 10.82 and -15.96, we simply add the values together:
10.82 + (-15.96) = -5.14
Therefore, the sum of 10.82 and -15.96 is -5.14.
Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)
Responses
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Solve the following problem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
°C
To find the temperature now, we need to subtract 18.6° from 13°C:
13°C - 18.6° = -5.6°C
Therefore, the temperature now is -5.6°C.
Use the additive inverse to find −492.89−(−871.78).(1 point)
$$
To find the difference between -492.89 and -871.78, we can use the additive inverse.
We can rewrite the expression as:
-492.89 + 871.78
Now, add the values together:
-492.89 + 871.78 = 378.89
Therefore, -492.89 - (-871.78) is equal to 378.89.
Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
−20.71
negative 20.71
15.81
15.81
20.71
20.71
−15.81
To determine the distance between -18.26 and -2.45 on a number line, we need to subtract the smaller value from the larger value:
|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 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
Now, add the values together:
24 + 15 = 39
Therefore, the result of 24 - (-15) is 39.
What is 1749 + 59 − 8 − 10?(1 point)
Responses
0
0
−7
negative 7
−1
negative 1
20
20
To solve the expression 1749 + 59 - 8 - 10, we need to perform the operations in the correct order:
1749 + 59 = 1808
1808 - 8 = 1800
1800 - 10 = 1790
Therefore, 1749 + 59 - 8 - 10 equals 1790.
What is 1749 + 59 − 8 − 10?(1 point)
Responses
0
0
−7
negative 7
−1
negative 1
20
To solve the expression 1749 + 59 - 8 - 10, we need to perform the operations in the correct order:
1749 + 59 = 1808
1808 - 8 = 1800
1800 - 10 = 1790
Therefore, 1749 + 59 - 8 - 10 equals 1790.
What is 1749 + 59 − 8 − 10?(1 point)
To solve the expression 1749 + 59 - 8 - 10, we need to perform the operations in the correct order:
1749 + 59 = 1808
1808 - 8 = 1800
1800 - 10 = 1790
Therefore, 1749 + 59 - 8 - 10 equals 1790.
Which context describes a difference of rational numbers?(1 point)
Responses
The team’s score increased when scoring.
The team’s score increased when scoring.
The team’s score did not change during the game.
The team’s score did not change during the game.
A football player loses yards on a play.
A football player loses yards on a play.
A football player gains yards on a play.
A football player loses yards on a play.
Joey walked east for 1523 meters from home. Then, he walked west for 2134 meters. How far was Joey from home?(1 point)
Joey was
meters from home.
To find how far Joey was from home, we need to determine the net distance traveled. Since he walked east for 1523 meters and then walked west for 2134 meters, we can find the difference:
1523 - 2134 = -611
Therefore, Joey was 611 meters from home.
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
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 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 descends 15,000 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?
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 15,000 feet. How many feet above the ground is the plane?
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 subtract the initial temperature at 9 a.m. (-5.8°C) from the temperature at noon (-1.6°C).
Change in temperature = (-1.6°C) - (-5.8°C)
Change in temperature = -1.6°C + 5.8°C
Change in temperature = 4.2°C
Therefore, the change in temperature during the three hours is 4.2°C.
This means that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.
Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)
point