Add 10.82+(−15.96

To add 10.82 and -15.96, you simply combine the numerical values:

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 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?

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?

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 the initial temperature and the change in temperature.

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 value of "-492.89 - (-871.78)", we can use the additive inverse property.

The additive inverse of a number is the number that, when added to the original number, results in zero. To find the additive inverse of a number, we simply change its sign.

So, the additive inverse of (-871.78) is 871.78.

Now, we can rewrite the expression as:

-492.89 + 871.78

Adding these numbers, we get:

-492.89 + 871.78 = 378.89

Therefore, -492.89 - (-871.78) equals 378.89.

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 property.

The additive inverse of a number is the number that, when added to the original number, results in zero. To find the additive inverse of a number, we simply change its sign.

Therefore, the additive inverse of (-871.78) is 871.78.

Now, we can rewrite the expression as:

-492.89 + 871.78

Adding these numbers, we get:

-492.89 + 871.78 = 378.89

Therefore, -492.89 - (-871.78) equals 378.89.

Determine the distance between −18.26 and −2.45 on a number line.(1 point)

Responses

−15.81
negative 15.81

−20.71
negative 20.71

15.81
15.81

20.71
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.

Solve the mathematical problem involving absolute value.

2−|13⋅−9|−5

To solve the expression 2 - |13*(-9)| - 5, we first evaluate the absolute value:

|13*(-9)| = |-117| = 117

Now we can substitute the absolute value back into the expression:

2 - 117 - 5

Next, we perform the subtraction:

2 - 117 - 5 = -120

Therefore, the solution to the expression 2 - |13*(-9)| - 5 is -120.

Subtract 24−(−15)

To subtract 24 - (-15), we can rewrite the expression as:

24 + 15

Now, we can add the numbers:

24 + 15 = 39

Therefore, 24 - (-15) equals 39.

What is 1749 + 59 − 8 − 10?(1 point)

Responses

−1
negative 1

−7
negative 7

20
20

0

To find the value of the expression 1749 + 59 - 8 - 10, we need to perform the addition and subtraction operations sequentially:

1749 + 59 - 8 - 10 = 1808 - 8 - 10 = 1800 - 10 = 1790

Therefore, the value of 1749 + 59 - 8 - 10 is 1790.

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

Responses

−1
negative 1

−7
negative 7

20
20

0

To find the value of the expression 17 4/9 + 5/9 - 8 - 10, we first need to simplify the mixed numbers by converting them to improper fractions:

17 4/9 = (9 * 17 + 4)/9 = 153/9
8 = 8/1
10 = 10/1

Now we can rewrite the expression:

(153/9) + (5/9) - (8/1) - (10/1)

Next, we need to find a common denominator for the fractions, which is 9 in this case:

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

Now we can add and subtract the fractions:

(153 + 5 - 72 - 90)/9 = (-4)/9

Therefore, the value of 17 4/9 + 5/9 - 8 - 10 is -4/9.

What is 17 4/9 + 5/9 − 8 − 10

Responses

−1
negative 1

−7
negative 7

20
20

0

To find the value of the expression 17 4/9 + 5/9 − 8 − 10, we first need to simplify the mixed number 17 4/9 by converting it to an improper fraction:

17 4/9 = (9 × 17 + 4)/9 = 153/9

Now we can rewrite the expression:

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

Next, we can combine like terms:

(153/9 + 5/9) - 18

To add the fractions with the same denominator:

(153 + 5)/9 - 18

158/9 - 18

Now, to subtract the fractions:

(158 - (18 × 9))/9

(158 - 162)/9

-4/9

Therefore, the value of 17 4/9 + 5/9 - 8 - 10 is -4/9.

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.

A football player loses 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 did not change during the game.

A football player gains yards on a play.

A football player loses yards on a play.