Use the additive inverse to find −123.45−(−234.76).(1 point)

Responses

111.31
111.31

−358.21
negative 358.21

121.31
121.31

−111.31

The additive inverse of −234.76 is 234.76. Therefore, −123.45−(−234.76) can be rewritten as −123.45 + 234.76.

Using the rules of addition, we can add these two numbers together:
−123.45 + 234.76 = 111.31

Therefore, the answer is 111.31.

Use the additive inverse to find −2445−6710.(1 point)

Responses

−18110
negative 18 Start Fraction 1 over 10 End Fraction

−31110
negative 31 Start Fraction 1 over 10 End Fraction

3112
31 Start Fraction 1 over 2 End Fraction

−3112

The additive inverse of -6710 is 6710. Therefore, -2445 - (-6710) can be rewritten as -2445 + 6710.

Using the rules of addition, we can add these two numbers together:
-2445 + 6710 = 4265

Therefore, the answer is 4265.

Determine the distance between 6.5 and −7.2 on a number line.(1 point)

Responses

13.7
13.7

−13.7
negative 13.7

−0.7
negative 0.7

0.7

To determine the distance between two numbers on a number line, we can subtract the smaller number from the larger number and take the absolute value of the result.

In this case, we have 6.5 and -7.2. The larger number is 6.5 and the smaller number is -7.2.

So, the distance between them is:
| 6.5 - (-7.2) | = | 6.5 + 7.2 | = | 13.7 | = 13.7

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

Solve the mathematical problem involving absolute value.

21÷3+4+|2−3|

(1 point)
Responses

12
12

4
4

10
10

6

To solve this problem, we first need to evaluate the absolute value expression |2−3|.

The expression inside the absolute value bars is 2−3, which equals -1. Taking the absolute value of -1 gives us |-1|, which is equal to 1.

Now we can substitute this value back into the original expression:

21 ÷ 3 + 4 + 1

Next, we can simplify the expression using the order of operations (PEMDAS/BODMAS). First, we divide:
21 ÷ 3 = 7

Now we can add the remaining numbers:
7 + 4 + 1 = 12

Therefore, the value of the expression 21÷3+4+|2−3| is 12.

Solve the mathematical problem involving absolute value.

|(12)(−8)|+|10−4|

(1 point)
Responses

−2
negative 2

−10
negative 10

2
2

10

To solve this problem, we start by evaluating the expressions inside the absolute value bars.

Starting with |(12)(-8)|:
(12)(-8) = -96
The absolute value of -96 is |-96|, which is equal to 96.

Moving on to |10 - 4|:
10 - 4 = 6
The absolute value of 6 is |6|, which is equal to 6.

Substituting these values back into the original expression:
|(12)(-8)| + |10 - 4| = 96 + 6 = 102

Therefore, the value of the expression |(12)(-8)| + |10 - 4| is 102.

thats not the answer because it doesnt show as one of the answers

I apologize for the confusion. Let's reevaluate the problem.

|(12)(−8)| + |10−4|

Starting with |(12)(-8)|:
(12)(-8) = -96
The absolute value of -96 is |-96|, which is equal to 96.

Moving on to |10 - 4|:
10 - 4 = 6
The absolute value of 6 is |6|, which is equal to 6.

Substituting these values back into the original expression:
|(12)(-8)| + |10 - 4| = 96 + 6 = 102

Therefore, the value of the expression |(12)(-8)| + |10 - 4| is 102.

I apologize again if this answer does not match the given options. If none of the provided options match, it may be an error in the options provided.

it was 10 not 102 dumbarse

Apologies for the mistake in my previous response. Let's reevaluate the problem correctly.

Starting with |(12)(−8)|:
(12)(-8) = -96
The absolute value of -96 is |-96|, which is equal to 96.

Moving on to |10 − 4|:
10 - 4 = 6
The absolute value of 6 is |6|, which is equal to 6.

Substituting these values back into the original expression:
|(12)(-8)| + |10 − 4| = 96 + 6 = 102.

Therefore, the value of the expression |(12)(-8)| + |10 − 4| is 102.

I apologize if none of the provided options match the correct answer.