Let's break down the problem step-by-step:
We need to evaluate [tex]\( |5 \times 3 - (7 \times 2) \times 4| \)[/tex].
1. Calculate the inner multiplications first:
- [tex]\( 5 \times 3 = 15 \)[/tex]
- [tex]\( 7 \times 2 = 14 \)[/tex]
2. Substitute the results of the inner multiplications back into the expression:
- The expression now becomes [tex]\( 15 - 14 \times 4 \)[/tex].
3. Calculate the multiplication within the subtraction:
- [tex]\( 14 \times 4 = 56 \)[/tex]
4. Perform the subtraction:
- [tex]\( 15 - 56 = -41 \)[/tex]
5. Take the absolute value of the result:
- [tex]\( |-41| = 41 \)[/tex]
So, the value of [tex]\( |5 \times 3 - (7 \times 2) \times 4| \)[/tex] is [tex]\(\boxed{41}\)[/tex].
