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15. What is the value of [tex]$|5 \times 3 - (7 \times 2) \times 4|$[/tex]?

A. -41
B. 71
C. 4
D. 41

Sagot :

GinnyAnsweridn
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].
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