Solve the mathematical problem involving absolute value. |(12)(−8)|+|10−4| (1 point)

Question

Responses
−2
2
10
−10

Answer 1

To solve the expression \(|(12)(−8)| + |10−4|\), we can break it down step by step:

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

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

3. Now, add the two results: \[ 96 + 6 = 102 \]

So, \(|(12)(−8)| + |10−4| = 102\).

The provided responses are −2, 2, 10, and −10, but none of these match the calculated result of 102. Please check the problem statement for accuracy or any potential errors in provided responses.

Answer 2

Subtract Rational Numbers

Answer 3

Subtracting rational numbers follows the same basic principles as subtracting any numbers. Rational numbers can be expressed as fractions, and you often need to find a common denominator to perform the subtraction.

Here’s a step-by-step guide to subtracting rational numbers:

1. Identify the rational numbers you want to subtract. Let's say you have \( \frac{a}{b} - \frac{c}{d} \).

2. Find a common denominator. The least common multiple (LCM) of the denominators \(b\) and \(d\) will work.

3. Rewrite each fraction with the common denominator. For example: \[ \frac{a}{b} = \frac{a \cdot (d)}{b \cdot (d)} \] \[ \frac{c}{d} = \frac{c \cdot (b)}{d \cdot (b)} \]

4. Subtract the numerators. You will have: \[ \frac{a \cdot (d) - c \cdot (b)}{LCD} \] where \(LCD\) is the common denominator you found.

5. Simplify the result, if possible.

Example

Let's subtract \( \frac{2}{3} - \frac{1}{4} \).

1. Identify rational numbers:

   • \( \frac{2}{3} \) and \( \frac{1}{4} \)

2. Find the common denominator:

   • The LCM of \(3\) and \(4\) is \(12\).

3. Rewrite each fraction: \[ \frac{2}{3} = \frac{2 \cdot 4}{3 \cdot 4} = \frac{8}{12} \] \[ \frac{1}{4} = \frac{1 \cdot 3}{4 \cdot 3} = \frac{3}{12} \]

4. Subtract the numerators: \[ \frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12} \]

5. The result: \[ \frac{2}{3} - \frac{1}{4} = \frac{5}{12} \]

Feel free to provide specific rational numbers if you'd like me to demonstrate a particular example!

Answer 4

those arent a answer ansers are −2
2
10
−10

Answer 5

I apologize for the confusion earlier. Let's assume we need to subtract two rational numbers and find out which of the provided options could be the result.

To specifically use the numbers in the options (−2, 2, 10, −10), let's construct a subtraction problem involving rational numbers:

Let’s use an example:

1. Let's try \( \frac{3}{2} - \frac{7}{2} \):

\[ \frac{3}{2} - \frac{7}{2} = \frac{3 - 7}{2} = \frac{-4}{2} = -2 \]

So in this case, the answer is −2.

If you have specific rational numbers you wish to subtract or if you were referring to the original absolute value calculation, please clarify further. I'm here to assist!