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
−2.0, −1.02, 0.25, 1.98
negative 2.0 , negative 1.02 , 0.25, 1.98
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
1.98, 0.25, −1.02, −2.0
1.98, 0.25, -1.02, -2.0
Find the sum of p and q if p=34 and q=−114. Reduce your answer to lowest terms.(1 point)
The sum of p and q would be p + q = 34 + (-114) = -80.
Add (−12) and (−15).(1 point)
Responses
−27
negative 27
27
27
−3
negative 3
3
3
(-12) + (-15) = -27
Add 10.82+(−15.96).(1 point)
10.82 + (-15.96) = -5.14
6 of 166 of 16 Items
Question
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 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 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?
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 the change in temperature overnight from the temperature yesterday.
Temperature now = Temperature yesterday + Change in temperature
Temperature now = 13°C + (-18.6°C)
Temperature now = -5.6°C
Use the additive inverse to find −492.89−(−871.78).
To find the subtraction of -492.89 - (-871.78), we can use the additive inverse.
-492.89 - (-871.78) is the same as -492.89 + 871.78 (since adding the additive inverse is the same as subtracting).
-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
15.81
15.81
−15.81
negative 15.81
20.71
To determine the distance between -18.26 and -2.45 on a number line, we subtract the smaller number from the larger number and take the absolute value.
|-2.45 - (-18.26)| = |-2.45 + 18.26| = |15.81| = 15.81
Therefore, the distance between -18.26 and -2.45 on a number line is 15.81 units.
Solve the mathematical problem involving absolute value.
2−|13⋅−9|−5
To solve the mathematical expression involving absolute value, we need to simplify the expression inside the absolute value first.
|-13 * -9| = |117| = 117
Now, substituting back into the original expression:
2 - |13 * -9| - 5 = 2 - 117 - 5 = -120
Therefore, the value of the expression 2 - |13 * -9| - 5 is -120.
Subtract 24−(−15).
Subtracting -15 from 24 can be rewritten as adding the additive inverse of -15.
24 - (-15) = 24 + 15 = 39
Therefore, 24 - (-15) equals 39.
What is 1749 + 59 − 8 − 10?(1 point)
Responses
0
0
−1
negative 1
−7
negative 7
20
1749 + 59 - 8 - 10 equals 1790.
What is 1749 + 59 − 8 − 10?(1 point)
Responses
0
−1
negative 1
−7
negative 7
20
1749 + 59 - 8 - 10 equals 1790.
What is 17 4/9 + 5/9 − 8 − 10?(1 point)
Responses
0
−1
negative 1
−7
negative 7
20
To calculate 17 4/9 + 5/9 - 8 - 10, we need to first convert the mixed number to an improper fraction.
17 4/9 = (9 * 17 + 4)/9 = (153 + 4)/9 = 157/9
Now we can perform the addition and subtraction:
(157/9) + 5/9 - 8 - 10 = (157/9) + (5/9) - (8 + 10)
Combining like terms, we have:
(157/9) + (5/9) - 18
To add fractions with the same denominator, we add the numerators:
(157 + 5)/9 - 18 = 162/9 - 18
To subtract a whole number from a fraction, we need to convert the whole number to a fraction with the same denominator:
162/9 - (18 * 9/9) = 162/9 - 162/9
Now, subtracting two fractions with the same denominator:
162/9 - 162/9 = 0/9 = 0
Therefore, 17 4/9 + 5/9 - 8 - 10 equals 0.
Which context describes a difference of rational numbers?(1 point)
Responses
A football player loses yards on a play.
A football player loses yards on a play.
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 gains yards on a play.
A football player loses yards on a play.
14 of 1614 of 16 Items
Question
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?(1 point)
Joey was
meters from home.
To find how far Joey was from home, we need to subtract the distance he walked west from the distance he walked east.
Distance walked east: 15 2/3 meters
Distance walked west: 21 3/4 meters
To subtract these distances, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
Converting the distances to have a denominator of 12:
Distance walked east: 15 8/12 meters
Distance walked west: 21 9/12 meters
Now, subtracting the distances:
(15 8/12) - (21 9/12) = (15 + 8/12) - (21 + 9/12) = (15 - 21) + (8/12 - 9/12) = -6 + (-1/12) = -6 - 1/12 = -6 1/12
Therefore, Joey was 6 1/12 meters away from home.
15 of 1615 of 16 Items
Question
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 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?
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 these three hours, we need to subtract the initial temperature from the final temperature.
Change in temperature = Final temperature - Initial temperature
Final temperature = -1.6 degrees Celsius
Initial temperature = -5.8 degrees Celsius
Change in temperature = (-1.6) - (-5.8)
= -1.6 + 5.8
= 4.2
Therefore, 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.