Relationships of Operations
| What does the word "Inverse" mean? |
| Opposite |
| What is the order of operations? |
| PEMDAS |
| What does the word "Substitution" mean? |
| Swap, switch, Replace with |
| 6F + 2F |
| 8F |
| State the COMMUTATIVE property of MULTIPLICATION and ADDITION. |
| Commutative means that you can change the order without changing the problem. |
| What is the Inverse of Multiplication? |
| Division |
| Which do you do first Multiplication or Division? |
| Neither, it follows the Left to Right Rule. |
| 3 ∙ X Substitute X for 5 |
| 3 ∙ X 3 ∙ 5 = 15 |
| 6F + 2B |
| 2 ( 3F + B ) |
| State the Additive property of Zero. |
| Adding zero to anything gives the same value |
| X = 25 ∙ 2 |
| X = 50 |
| 2 + 3 x 7 |
| 23 |
| P ( P + 3 ) - P Substitute P for 4. |
| 4 ( 4 + 3 ) - 4 4 ( 7 ) - 4 28 - 4 24 |
| Expand Z to the power of 4. Then check your answer by substituting Z for 2. |
| Z ∙ Z ∙ Z ∙ Z 2 ∙ 2 ∙ 2 ∙ 2 = 16 and 2 to the fourth equals 16. |
| State the Multiplicative identity of One. |
| Multiplying by one always give the same value. |
| Y + 4 = 7 |
| Y = 3 |
| The Quotient of 25 and 5. |
| 25 ÷ 5 = 5 |
| The Quotient of Z and 3. Substitute Z for eight-teen. |
| Z ÷ 3 18 ÷ 3 = 6 |

| 3 ( c + d ) 3c + 3d |
| Rewrite the division statement as a Fraction. (c - d) ÷ (a + b) |
| (c - d)/( a + b) |
| H ÷ 4 = 5 |
| H = 20 |
| Twelve Times the Sum of Three and Seven minus the Quantity of Thirty times Two. |
| 12 ∙ ( 3 + 7 ) - ( 30 ∙ 2 ) = 12 ∙ 10 - 60 = 120 - 60 = 60 |
| The Forty divided by the Quantity of B minus 3. Substitute B for Eight. |
| 40 ÷ ( B - 3 ) 40 ÷ ( 8 - 3 ) 40 ÷ 5 = 8 |
| e ( f + d) |
| ef + ed |
| Write the expression INTO a sentence. 5(7h + 3m) |
| 5 times the quantity 7 times h plus 3 times m. |