Certainly! Let's solve each part of the question step-by-step.
### Part a) [tex]\( |15 - 2| \)[/tex]
To find the absolute value of the expression [tex]\( 15 - 2 \)[/tex]:
1. First, perform the subtraction inside the absolute value:
[tex]\[
15 - 2 = 13
\][/tex]
2. The absolute value of 13 is simply the non-negative value of 13:
[tex]\[
|13| = 13
\][/tex]
Therefore, the value of [tex]\( |15 - 2| \)[/tex] is 13.
### Part b) [tex]\( |4 - 9| \)[/tex]
To find the absolute value of the expression [tex]\( 4 - 9 \)[/tex]:
1. First, perform the subtraction inside the absolute value:
[tex]\[
4 - 9 = -5
\][/tex]
2. The absolute value of -5 is the non-negative value of -5:
[tex]\[
|-5| = 5
\][/tex]
Therefore, the value of [tex]\( |4 - 9| \)[/tex] is 5.
### Part c) [tex]\( |7| \times |-4| \)[/tex]
To find the product of the absolute values [tex]\( |7| \)[/tex] and [tex]\( |-4| \)[/tex]:
1. Calculate the absolute value of 7:
[tex]\[
|7| = 7
\][/tex]
2. Calculate the absolute value of -4:
[tex]\[
|-4| = 4
\][/tex]
3. Multiply these absolute values together:
[tex]\[
7 \times 4 = 28
\][/tex]
Therefore, the value of [tex]\( |7| \times |-4| \)[/tex] is 28.
In summary:
a) [tex]\( |15 - 2| = 13 \)[/tex]
b) [tex]\( |4 - 9| = 5 \)[/tex]
c) [tex]\( |7| \times |-4| = 28 \)[/tex]
