Add (−12) and (−15)

The sum of -12 and -15 is -27.

Add 10.82+(−15.96).

The sum of 10.82 and -15.96 is -5.14.

it says its wrong are u sure?

Apologies for the incorrect response.

The correct sum of 10.82 and -15.96 is -5.14.

u just said that and its wrong

Apologies for the confusion.

The correct sum of 10.82 and -15.96 is -5.14. However, please double-check your calculations as well to ensure accuracy.

Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?

A real-world problem that could be solved with the sum 102.50 + (-39.95) could be a situation where you have $102.50 in your bank account and you make a purchase that costs $39.95. The sum would represent the new balance in your bank account after the purchase.

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 calculate the sum of 13°C and -18.6°C.

13°C + (-18.6°C) = -5.6°C

Therefore, the temperature now is -5.6°C.

Use the additive inverse to find −492.89−(−871.78).

To find the subtraction of -492.89 and -871.78, we can rewrite it as the addition of the additive inverse.

-492.89 - (-871.78)

This can be simplified as adding the opposite value:

-492.89 + 871.78

Now we can calculate the sum:

-492.89 + 871.78 = 378.89

Therefore, the result is 378.89.

are u sure?

Apologies for the mistake. Let's correct that.

To find the subtraction of -492.89 and -871.78, we can rewrite it as the addition of the additive inverse.

-492.89 - (-871.78)

Now, when we subtract a negative number, it becomes addition:

-492.89 + 871.78

Now we can calculate the sum:

-492.89 + 871.78 = 378.89

Therefore, the result is 378.89. My previous response was correct.

ok

Great! If you have any more questions, feel free to ask.

Determine the distance between −18.26 and −2.45 on a number line

To determine the distance between -18.26 and -2.45 on a number line, we need to find the absolute value of the difference between the two numbers.

|-18.26 - (-2.45)|

Simplifying the expression inside the absolute value:

|-18.26 + 2.45|

= |-15.81|

The absolute value of -15.81 is 15.81.

Therefore, the distance between -18.26 and -2.45 on a number line is 15.81 units.

Subtract 24−(−15).

To subtract 24 from -15, we can rewrite the expression as an addition problem by changing the sign of the second number:

-15 + 24

Now we can calculate the sum:

-15 + 24 = 9

Therefore, the result of subtracting 24 from -15 is 9.

What is 1749 + 59 − 8 − 10?

To solve the expression 1749 + 59 - 8 - 10, we can simply perform the operations in the order they appear:

1749 + 59 - 8 - 10 = 1800 - 8 - 10

Next, we simplify the subtraction operations from left to right:

1800 - 8 - 10 = 1792 - 10

Finally, we complete the subtraction:

1792 - 10 = 1782

Therefore, 1749 + 59 - 8 - 10 is equal to 1782.

What is 17 4/9 + 5/9 − 8 − 10?

To solve 17 4/9 + 5/9 - 8 - 10, we need to first convert the mixed number 17 4/9 to an improper fraction.

17 4/9 = (17 * 9 + 4)/9 = 153/9

Now we can perform the addition and subtraction:

(153/9) + (5/9) - 8 - 10

= (153/9) + (5/9) - (72/9) - (90/9)

Combining the numerators:

= (153 + 5 - 72 - 90)/9

Simplifying the numerator:

= (86 - 162)/9

= -76/9

Therefore, 17 4/9 + 5/9 - 8 - 10 is equal to -76/9.

What is 17 4/9 + 5/9 − 8 − 10?(1 point)

Responses

20
20

−7
negative 7

0
0

−1

To solve 17 4/9 + 5/9 - 8 - 10, we can first simplify the mixed number:

17 4/9 = 17 + 4/9

Next, we can add the fractions together:

17 4/9 + 5/9 = 17 + (4 + 5)/9 = 17 9/9 = 18

Now we can subtract 8 and 10:

18 - 8 - 10 = 0

Therefore, 17 4/9 + 5/9 - 8 - 10 is equal to 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 increased when scoring.
The team’s score increased when scoring.

The team’s score did not change during the game.

A context that describes a difference of rational numbers is when 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 determine how far Joey is from home, we need to find the net distance covered by adding the distances east and west.

Joey walked 1523 meters east, and then 2134 meters west.

To find the net distance, we subtract the distance walked west from the distance walked east:

1523 - 2134 = -611

The negative sign indicates that Joey is 611 meters west of his home.

Therefore, Joey is 611 meters from home.

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 determine how far Joey is from home, we need to find the net distance covered by adding the distances east and west.

First, we need to convert the mixed numbers to improper fractions:

15 2/3 = (3 * 15 + 2)/3 = 47/3

21 3/4 = (4 * 21 + 3)/4 = 87/4

Now we can subtract the distance walked west from the distance walked east:

(47/3) - (87/4)

To subtract these fractions, we need a common denominator. The least common denominator (LCD) of 3 and 4 is 12.

We multiply the numerator and denominator of the first fraction (47/3) by 4:

(47/3) * (4/4) = (188/12)

Now we can subtract the fractions:

(188/12) - (87/4) = (47/3) - (87/4) = (188/12) - (261/12) = -73/12

The negative sign indicates that Joey is west of his home.

Therefore, Joey is -73/12 meters from home.

Add & Subtract Rational Numbers Unit Test

14 of 1514 of 15 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 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 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?

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?

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.

Let's denote the change in temperature as "ΔT". The temperature at 9 a.m. is -5.8 degrees Celsius, and the temperature at noon is -1.6 degrees Celsius. Therefore, we can write the equation as:

ΔT = -1.6 - (-5.8)

Simplifying the equation:

ΔT = -1.6 + 5.8

ΔT = 4.2

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.

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–?

To represent the number of points needed for Abraham to get an A-, we can use the rational number 1/2.

This means that Abraham needs 1/2 of a point to achieve an A-.