Answer :
To determine the value of [tex]\(\frac{-2(7-15)}{4}\)[/tex], we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Start by solving the expression inside the parentheses:
[tex]\[ 7 - 15 \][/tex]
Subtract 15 from 7:
[tex]\[ 7 - 15 = -8 \][/tex]
2. Next, multiply -2 by the result of the parentheses:
[tex]\[ -2 \times (-8) \][/tex]
The product of -2 and -8 is:
[tex]\[ -2 \times (-8) = 16 \][/tex]
3. Now, divide this result by the denominator, which is 4:
[tex]\[ \frac{16}{4} \][/tex]
The division of 16 by 4 is:
[tex]\[ \frac{16}{4} = 4 \][/tex]
Therefore, the value of [tex]\(\frac{-2(7-15)}{4}\)[/tex] is:
[tex]\[ \boxed{4} \][/tex]
1. Start by solving the expression inside the parentheses:
[tex]\[ 7 - 15 \][/tex]
Subtract 15 from 7:
[tex]\[ 7 - 15 = -8 \][/tex]
2. Next, multiply -2 by the result of the parentheses:
[tex]\[ -2 \times (-8) \][/tex]
The product of -2 and -8 is:
[tex]\[ -2 \times (-8) = 16 \][/tex]
3. Now, divide this result by the denominator, which is 4:
[tex]\[ \frac{16}{4} \][/tex]
The division of 16 by 4 is:
[tex]\[ \frac{16}{4} = 4 \][/tex]
Therefore, the value of [tex]\(\frac{-2(7-15)}{4}\)[/tex] is:
[tex]\[ \boxed{4} \][/tex]
