To evaluate the expression [tex]\( 15 - 10 \cdot (-15) \)[/tex], follow these steps:
1. Identify the components of the expression:
- The expression has three main parts: [tex]\( 15 \)[/tex], [tex]\( -10 \)[/tex], and [tex]\( -15 \)[/tex].
- It involves subtraction and multiplication.
2. Evaluate the multiplication part first:
- According to the order of operations (PEMDAS/BODMAS), we perform the multiplication before subtraction.
- Calculate [tex]\( 10 \cdot (-15) \)[/tex].
[tex]\[ 10 \cdot (-15) = -150 \][/tex]
3. Substitute the result of the multiplication back into the expression:
- Replace [tex]\( 10 \cdot (-15) \)[/tex] with [tex]\(-150\)[/tex] in the original expression.
[tex]\[ 15 - (-150) \][/tex]
4. Simplify the expression with the subtraction operation:
- Subtracting a negative number is the same as adding its positive counterpart.
- Therefore, [tex]\( 15 - (-150) \)[/tex] becomes [tex]\( 15 + 150 \)[/tex].
5. Perform the addition:
[tex]\[ 15 + 150 = 165 \][/tex]
So, the evaluated result of the expression [tex]\( 15 - 10 \cdot (-15) \)[/tex] is [tex]\( 165 \)[/tex].
