Solve the mathematical problem involving absolute value.

Question

21÷3+4+|2−3|

(1 point)
Responses

6
6

10
10

4
4

12

Answer 1

To solve the expression \(21 \div 3 + 4 + |2 - 3|\), let's break it down step by step.

1. Calculate \(21 \div 3 = 7\).

2. Next, calculate \(2 - 3 = -1\) and then take the absolute value: \(|-1| = 1\).

3. Now substitute these values back into the expression:

   \[ 7 + 4 + 1 \]

4. Add them together:

   \[ 7 + 4 = 11 \]

   \[ 11 + 1 = 12 \]

So, the final result is \(12\).

The correct answer is 12.

Answer 2

Solve the mathematical problem involving absolute value.

|(12)(−8)|+|10−4|

(1 point)
Responses

−2
negative 2

2
2
2

−10
negative 10

10

Answer 3

To solve the expression \( |(12)(-8)| + |10 - 4| \), let's break it down step by step.

1. Calculate \( (12)(-8) \): \[ 12 \times -8 = -96 \] Now take the absolute value: \[ | -96 | = 96 \]

2. Calculate \( 10 - 4 \): \[ 10 - 4 = 6 \] Now take the absolute value: \[ | 6 | = 6 \]

3. Combine the results: \[ 96 + 6 = 102 \]

So, the final result is \( 102 \).

However, since the options provided do not include \( 102 \), it seems there may be a misunderstanding or typo in the options. If you want to clarify or provide the context of the options again, I'd be happy to help further!

Answer 4

Solve the mathematical problem involving absolute value.

|(1/2)(−8)|+|10−4|

(1 point)
Responses

−2
negative 2

2
2
2

−10
negative 10

10

Answer 5

Let's solve the expression \( |(1/2)(-8)| + |10 - 4| \) step by step.

1. Calculate \( (1/2)(-8) \): \[ (1/2) \times (-8) = -4 \] Now take the absolute value: \[ |-4| = 4 \]

2. Calculate \( 10 - 4 \): \[ 10 - 4 = 6 \] Now take the absolute value: \[ |6| = 6 \]

3. Combine the results: \[ 4 + 6 = 10 \]

Therefore, the final answer is \( 10 \).

So the correct answer is 10.