ERemember to perform the multiplication before the subtraction.
FStart by evaluating the expression inside the parentheses.
A4
B- 1
C- 15
D- 11
E14
F24
Practice makes perfect
Let's perform the addition.
- 3+7
Recall that adding a positive number is the same as subtracting its negative counterpart. Let's use a number line to help us visualize this process. We will start by finding - 3 on the line and moving 7 units to the right since moving to the right on the number line represents addition.
The final position on the number line is the sum.
- 3+ 7= 4
We can see that adding a negative number is the same as subtracting its positive counterpart. Let's visualize this process. We will find 7 on the number line and move 8 units to the left to represent the subtraction.
The final position on the number line is the sum.
7+(-8)= - 1
Let's perform the subtraction.
- 6- 9= - 15
We can see that subtracting a number is the same as adding its negative counterpart. Let's visualize this by finding - 6 on the number line and moving 9 units to the left to represent subtraction.
The final position on the number line is the difference.
- 6- 9= - 15
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division. Finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means performing the multiplication before the addition.
- 3+4(- 2)
Let's do it!
Operation
Before Simplification
After Simplification
Multiplication
- 3+ 4( - 2)
- 3+( - 8)
Addition
- 3+( - 8)
- 11
The expression is equal to - 11.
We want to simplify the given expression. According to the order of operations, this means performing the multiplication before the subtraction.
4-2(- 5)
Let's do it!
We want to simplify the given expression. According to he order of operations, this means evaluating the expressions inside the parentheses completely before finding the product.
(- 7+3)(4-5* 2)Notice that there are two operations inside the second set of parentheses.
4-5* 2
Even here, we must follow the order of operations. Let's do simplify the expression!
