2/5-7*(-3)
show your work using pemdas
To solve the expression 2/5-7*(-3) using PEMDAS, we follow the order of operations:
1. Parentheses: There are no parentheses in the expression, so we move on to the next step.
2. Exponents: There are no exponents in the expression.
3. Multiplication and Division: Multiply first. We have -7 multiplied by -3, which equals 21. So the expression becomes:
2/5 - 21
4. Addition and Subtraction: Finally, perform the subtraction. 2/5 can be written as 0.4, so the expression becomes:
0.4 - 21
Now, subtracting 21 from 0.4, we get the result:
-20.6
To solve the expression 2/5 - 7*(-3) using PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), follow these steps:
Step 1: Solve the multiplication
-7 * (-3) = 21
So the expression becomes: 2/5 - 21
Step 2: Solve the division
Since there are no other operations, we can leave 2/5 as it is.
So the expression simplifies to: 2/5 - 21
Step 3: Convert the subtraction to addition (by adding the opposite)
To convert the subtraction to addition, we take the opposite of 21, which is -21. Therefore, the expression becomes:
2/5 + (-21)
Step 4: Find a common denominator
To add the fractions, we need to find a common denominator. In this case, the common denominator is 5. So the expression becomes:
2/5 + (-21 * 5/5)
Step 5: Simplify the expression
2/5 + (-105/5) = 2/5 - 105/5
Step 6: Combine the numerators and keep the denominator the same
2 - 105 = -103
So the final answer is:
-103/5