Absolutely, let's break it down step-by-step.
### Question 7: [tex]$|-9|$[/tex]
1. Understand the concept of absolute value: The absolute value of a number is the distance between the number and zero on the number line, irrespective of the direction. Essentially, it's the non-negative value of the number.
2. Apply the concept to -9: When we take the absolute value of -9, we are looking for how far -9 is from 0, without considering the negative sign.
3. Conclusion: Therefore, the absolute value of -9 is 9.
[tex]$|-9| = 9$[/tex]
### Question 8: [tex]$|3|$[/tex]
1. Understand the concept of absolute value: As mentioned earlier, the absolute value of a number is the distance between the number and zero on the number line, always non-negative.
2. Apply the concept to 3: When we take the absolute value of 3, since 3 is already positive, its absolute value is simply 3.
3. Conclusion: Therefore, the absolute value of 3 is 3.
[tex]$|3| = 3$[/tex]
So, the solutions are:
1. For [tex]$|-9|$[/tex], the absolute value is 9.
2. For [tex]$|3|$[/tex], the absolute value is 3.
