-3 - 5^2/7
show your work using pemdas
To solve the expression -3 - 5^2/7 using PEMDAS, we start by evaluating the exponent.
Step 1: Exponent
5^2 equals 5 * 5 which is 25.
Now, we substitute the value of the exponent into the expression:
-3 - 25/7
Step 2: Division
25 divided by 7 equals 3 remainder 4, which can be written as 25/7 = 3 and 4/7.
Now, we substitute the division result into the expression:
-3 - 3 and 4/7
Step 3: Subtraction
-3 minus 3 is -6. Then, we subtract 4/7.
Now, the expression becomes:
-6 - 4/7
To subtract fractions, we need a common denominator. The common denominator here is 7.
Step 4: Subtraction of Fractions
The expression -6 as a fraction with the denominator 7 is -6/1 * 7/7 = -42/7.
Now, we have:
-42/7 - 4/7
Subtracting the fractions, we get:
-46/7
Thus, the simplified expression -3 - 5^2/7 equals -46/7 or can be written as -6 and 4/7.
To simplify the expression -3 - 5^2/7 using the order of operations (PEMDAS), follow these steps:
Step 1: Evaluate Exponents (Powers)
5^2 = 25
Step 2: Divide
25/7 = 3.57 (rounded to two decimal places)
Step 3: Multiply
-3 * 3.57 = -10.71 (rounded to two decimal places)
Step 4: Subtract
-3 - 10.71 = -13.71 (rounded to two decimal places)
Therefore, -3 - 5^2/7 simplifies to approximately -13.71.