2. Section 4.2
Sign In
Value of the Expression: 0
Value of the Expression: - 20
Value of the Expression: - 96
Value of the Expression: - 166
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+1* 4+(- 7) Let's do it!
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiplication | 3+ 1* 4+(- 7) | 3+ 4+(- 7) |
| Addition | 3+ 4+( - 7) | 0 |
The expression is equal to 0.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiplication | 50+ 3( - 10)+ 2( - 20) | 50+( - 30)+( - 40) |
| Addition | 50+( - 30)+( - 40) | - 20 |
The expression is equal to - 20.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiplication | 4+( - 50)* 2 | 4+( - 100) |
| Addition | 4+( - 100) | - 96 |
The expression is equal to - 96.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Addition | ( 4+( - 170))( 5+( - 4)) | ( - 166)( 1) |
| Multiplication | ( - 166)( 1) | - 166 |
The expression is equal to - 166.