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Pay close attention to the order of operations.
Pay close attention to the order of operations.
Pay close attention to the order of operations.
Pay close attention to the order of operations.
35
- 5
2
4
4* 4+4(5-2)+7 The first step is evaluate the expression inside the parentheses. 4* 4+4(5-2)+7 → 4* 4+4(3)+7 Now, we will follow the order of operations.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiply | 4* 4+ 4( 3)+7 | 16+ 12+7 |
| Add terms | 16 + 12 + 7 | 35 |
The expression is equal to 35.
7-9÷ 9+4(4-3)-7 The first step is evaluate the expression inside the parentheses. 7-9÷ 9+4(4-3)-7 → 7-9÷ 9+4(1)-7 Now, we will follow the order of operations.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiply | 7-9÷ 9+ 4( 1)-7 | 7-9÷ 9+ 4-7 |
| Divide | 7- 9÷ 9+4-7 | 7-1+4-7 |
| Add terms | 7- 1+ 4-7 | 7- 5-7 |
| Subtract terms | 7- 5- 7 | - 5 |
The expression is equal to - 5.
- 12 +3(7-4)+5 The first step is evaluate the expression inside the parentheses. - 12 +3(7-4)+5 → - 12 +3(3)+5 Now, we will follow the order of operations.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiply | - 12 + 3( 3)+5 | - 12 + 9+5 |
| Add terms | - 12 + 9+ 5 | 2 |
The expression is equal to 2.
3(15-2* 6)-5 Notice also that even within this parenthetical expression, we must follow the order of operations. 15-2* 6 Let's do it!
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Multiply | 3(15- 2* 6)-5 | 3(15- 12)-5 |
| Subtract terms | 3( 15- 12)-5 | 3( 3)-5 |
| Multiply | 3( 3)-5 | 9-5 |
| Subtract terms | 9- 5 | 4 |
The expression is equal to 4.
