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. Choose one.
0.25, −1.02, 1.98, −2.0
−2.0, −1.02, 0.25, 1.98
−1.02, −2.0, 0.25, 1.98
1.98, 0.25, -1.20, -2.0
−2.0, −1.02, 0.25, 1.98
Add (−12) and (−15). What's the answer?
The sum of −12 and −15 is −27.
Add 10.82+(−15.96). What is the answer?
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)?
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 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
The real-world problem that could be solved with the sum 102.50+(−39.95) is:
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?
Solve the following problem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?
To find the temperature now, we need to subtract 18.6°C from 13°C.
13°C - 18.6°C = -5.6°C
The temperature now is -5.6°C.
Use the additive inverse to find −492.89−(−871.78).
To find the difference between −492.89 and −871.78, we can rewrite the problem using the additive inverse:
−492.89 − (−871.78) is the same as −492.89 + 871.78.
Now we can add the two numbers:
−492.89 + 871.78 = 378.89
So, −492.89 − (−871.78) is equal to 378.89.
Determine the distance between −18.26 and −2.45 on a number line.
15.81
−15.81
−20.71
20.71
To find the distance between −18.26 and −2.45 on a number line, we need to subtract the larger absolute value from the smaller absolute value.
|-2.45| - |-18.26| = 2.45 - 18.26 = 15.81
So the distance between −18.26 and −2.45 on a number line is 15.81.
Subtract 24−(−15). =
To subtract 24 from -15, we can rewrite the expression as a sum using the additive inverse:
24 - (-15) is the same as 24 + 15.
Now we can add the two numbers:
24 + 15 = 39
So, 24 - (-15) is equal to 39.
What is 17 4/9 + 5/9 − 8 − 10? (As in fractions)
To solve the expression 17 4/9 + 5/9 - 8 - 10, we follow the order of operations (PEMDAS):
First, let's convert the mixed number 17 4/9 into an improper fraction:
17 4/9 = (17 * 9 + 4) / 9 = 157/9
Now, we can rewrite the expression:
157/9 + 5/9 - 8 - 10
Next, we combine like terms:
(157/9 + 5/9) - 18
Now, let's add the fractions:
(157 + 5) / 9 - 18 = 162/9 - 18
Simplifying the fraction:
162/9 = 18
Subtracting the remaining terms:
18 - 18 = 0
Therefore, the expression 17 4/9 + 5/9 - 8 - 10, when evaluated as fractions, equals 0.
Which context describes a difference of rational numbers?
A football player gains 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 increased when scoring.
A football player loses yards on a play.
Joey walked east for 15 2/3(fractions) meters from home. Then, he walked west for 21 3/4 (fraction) meters. How far was Joey from home? Write your answer as a mixed number only.
To find how far Joey is 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 the distances, let's first convert the mixed numbers to improper fractions:
Distance walked east: (15 * 3 + 2) / 3 = 47/3 meters
Distance walked west: (21 * 4 + 3) / 4 = 87/4 meters
Now we can subtract the distances:
47/3 - 87/4
To do this, we need to find a common denominator, which is 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now we can subtract:
188/12 - 261/12 = (188 - 261) / 12 = -73/12
Finally, we can write the answer as a mixed number:
-73/12 = -6 1/12
Therefore, Joey is 6 1/12 meters from home.
Which situation describes opposite quantities that when combined would equal 0?
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 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 10,000 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 plane initially goes up 15,000 feet, but then it goes down the exact same distance of 15,000 feet. As a result, the total change in altitude is 0, and the plane would be at the same height 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.
To find the change in temperature during these three hours, we can subtract the temperature at noon from the temperature at 9 a.m.
−5.8 degrees Celsius − (−1.6 degrees Celsius)
= −5.8 degrees Celsius + 1.6 degrees Celsius
= −4.2 degrees Celsius
Therefore, the change in temperature during these three hours is −4.2 degrees Celsius.
This means that the temperature decreased by 4.2 degrees Celsius from 9 a.m. to noon. The negative sign indicates a decrease in temperature.