Add 10.82+(−15.96)
10.82 + (-15.96) = -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 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 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 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?
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?
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?
To find the temperature now after a change of -18.6°, we need to subtract 18.6 from the temperature of 13°C.
13 - 18.6 = -5.6
The temperature now is -5.6°C.
Use the additive inverse to find −492.89−(−871.78).
To find the value of −492.89−(−871.78), we can use the additive inverse of the second number and rewrite the expression as −492.89 + 871.78.
Now we can simply add these two numbers:
−492.89 + 871.78 = 378.89
Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
−20.71
negative 20.71
20.71
20.71
15.81
15.81
−15.81
negative 15.81
To determine the distance between -18.26 and -2.45 on a number line, we subtract the two numbers and take the absolute value of the result.
|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 15.81
The distance between -18.26 and -2.45 on a number line is 15.81.
Subtract 24−(−15).
To subtract 24 - (-15), we can rewrite the expression as 24 + 15:
24 + 15 = 39
What is 17 4/9 + 5/9 − 8 − 10?
To compute 17 4/9 + 5/9 - 8 - 10, we can first simplify the addition and subtraction of the whole numbers and fractions separately, and then combine the results.
17 + 4/9 + 5/9 - 8 - 10
= 17 - 8 - 10 + 4/9 + 5/9
= 9 - 10 + 4/9 + 5/9
= -1 + 4/9 + 5/9
= (4 + 5) / 9
= 9/9
= 1
Therefore, 17 4/9 + 5/9 - 8 - 10 equals 1.
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 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home?
To calculate how far Joey was from home, we need to find the absolute difference between the distances he walked east and the distance he walked west.
Distance walked east: 15 2/3 meters
Distance walked west: 21 3/4 meters
To find the absolute difference, we subtract the smaller fraction from the larger fraction:
21 3/4 - 15 2/3
Converting both mixed numbers to improper fractions:
21 3/4 = 87/4
15 2/3 = 47/3
Now we can subtract:
87/4 - 47/3
To find a common denominator, we multiply the denominators:
4 * 3 = 12
Converting the fractions to have the same denominator:
(87/4)*(3/3) - (47/3)*(4/4)
= 261/12 - 188/12
Now we can subtract:
261/12 - 188/12 = (261 - 188)/12 = 73/12
Therefore, Joey was 73/12 meters away 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 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 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 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?
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.
To find the change in temperature during these three hours, we need to subtract the temperature at 9 a.m. from the temperature at noon.
Temperature at 9 a.m.: -5.8 degrees Celsius
Temperature at noon: -1.6 degrees Celsius
Change in temperature = Temperature at noon - Temperature at 9 a.m.
Change in temperature = -1.6 - (-5.8)
To subtract a negative number, we can rewrite the expression as an addition:
Change in temperature = -1.6 + 5.8
Change in temperature = 4.2 degrees Celsius
The equation and solution show that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon. This means that the air temperature became warmer during these three hours.