Final answer:
The expression (−5 × 2 ÷ 15) - (-6 × 2 ÷ 9) simplifies to approximately 0.66, when following the order of operations (PEMDAS). We first carry out the multiplication and division in each part, then perform the subtraction which, in this case, is equivalent to addition since it involves a negative number.
Step-by-step explanation:
In order to simplify the expression,
(−5 × 2 ÷ 15) - (-6 × 2 ÷ 9)
, we need to follow the order of operations, which is represented by the acronym
PEMDAS
: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Given the absence of parentheses and exponents, we begin with the multiplication and division. In the expression (−5 × 2 ÷ 15), -5 is multiplied by 2 to give -10, which is then divided by 15, resulting in approximately -0.67.
For the expression (-6 × 2 ÷ 9), -6 is multiplied by 2 to give -12, which is then divided by 9, resulting in approximately -1.33.
Next, we perform the subtraction as indicated. Since we are subtracting a negative number, this is equivalent to adding it, hence -0.67 - (-1.33) simplifies to -0.67 + 1.33, which results in approximately 0.66.
Learn more about Order of Operations