calculate the value of this expression.
the quantity 15 minus negative 3 divided by 9 plus negative two plus 5 times negative 7
To calculate the value of the expression, let's break it down step by step.
First, let's solve the expression within the parentheses:
15 minus negative 3 divided by 9 equals 15 - (-3/9) = 15 + 1/3
Now, let's solve the next expression:
15 + 1/3 plus negative two equals 15 + 1/3 - 2 = 15 - (5/3) = 45/3 - 5/3 = 40/3
Finally, let's solve the last part of the expression:
40/3 plus 5 times negative 7 equals 40/3 + 5 * (-7) = 40/3 - 35/3 = 5/3
Therefore, the value of the expression is 5/3.
follow the rules of the order of operations
To follow the rules of the order of operations (PEMDAS/BODMAS), let's solve the expression step by step:
Step 1: Parentheses
There are no parentheses in the expression.
Step 2: Exponents
There are no exponents in the expression.
Step 3: Multiplication and Division (from left to right)
Starting from the left side of the expression:
First, let's solve -3 divided by 9:
-3 ÷ 9 = -1/3
Next, let's calculate 5 times -7:
5 * -7 = -35
Step 4: Addition and Subtraction (from left to right)
Starting from the left side of the expression:
First, let's simplify the expression 15 - (-1/3):
15 - (-1/3) = 15 + 1/3 = 45/3 + 1/3 = 46/3
Next, let's add -2 to our previous result:
46/3 + (-2) = 46/3 - 6/3 = 40/3
Therefore, the value of the expression is 40/3.