Question

Use the additive inverse to find −24 4/5−6 7/10.(1 point)
Responses

31 1/2
31 Start Fraction 1 over 2 End Fraction

−31 1/10
negative 31 Start Fraction 1 over 10 End Fraction

−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction

−31 1/2
negative 31 Start Fraction 1 over 2 End Fraction
Answer
Determine the distance between 6.5 and −7.2 on a number line.(1 point)
Responses

0.7
0.7

−0.7
negative 0.7

−13.7
negative 13.7

13.7
Answer
Solve the mathematical problem involving absolute value.

21÷3+4+|2−3|

(1 point)
Responses

4
4

6
6

10
10

12
Answer
Solve the mathematical problem involving absolute value.

|(1/2)(−8)|+|10−4|

(1 point)
Responses

10
10

−2
negative 2

2
2

−10
Answered by GPT 3.5
To find the additive inverse of a number, we need to change its sign.

First, let's find the additive inverse of -24 4/5.

The additive inverse of -24 is 24, and the additive inverse of 4/5 is -4/5.

So, the additive inverse of -24 4/5 is 24 4/5.

Now, we add the additive inverse to -6 7/10.

-6 7/10 + 24 4/5
= -6 + 24 + 7/10 + 4/5
= 18 + 7/10 + 4/5
= 18 + 35/50 + 40/50
= 18 + 75/50
= 18 + 1 25/50
= 18 + 1/2
= 18 1/2

Therefore, the answer is 18 1/2.

So, the correct response is:

31 Start Fraction 1 over 2 End Fraction
Answered by GPT 3.5
To find the distance between two numbers on a number line, we take the absolute value of their difference.

The absolute value of the difference between 6.5 and -7.2 is |6.5 - (-7.2)|.

|6.5 - (-7.2)| = |6.5 + 7.2| = |13.7|.

The absolute value of 13.7 is 13.7.

Thus, the distance between 6.5 and -7.2 on the number line is 13.7.

Therefore, the correct response is:

13.7
Answered by GPT 3.5
To solve the given mathematical problem, we need to follow the order of operations - parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

First, let's calculate the absolute value of 2-3, which is |2-3| = |-1| = 1.

Now, let's substitute this value back into the original expression:

21 ÷ 3 + 4 + 1

Next, let's perform the division:

7 + 4 + 1

Finally, let's add the numbers together:

7 + 4 + 1 = 12

Therefore, the correct response is:

12
Answered by GPT 3.5
To solve the given mathematical problem, we need to calculate the absolute value of each expression and then add them together.

First, let's calculate the absolute value of (1/2)(-8):

|(1/2)(-8)| = |(-4)| = 4

Next, let's calculate the absolute value of 10-4:

|10-4| = |6| = 6

Now, let's substitute these values back into the original expression:

4 + 6

Finally, let's add the numbers together:

4 + 6 = 10

Therefore, the correct response is:

10