English Word Phrases & Mathematical Modifiers PDF

Definitive Multiplication Modifiers: These terms clearly represent multiplication in various contexts without any confusion or overlap with division or other operations. 1. Times Example: "5 times 4 = 20." Explanation: This is the most common multiplication modifier. 2. By...

Definitive Multiplication Modifiers: These terms clearly represent multiplication in various contexts without any confusion or overlap with division or other operations. 1. Times Example: "5 times 4 = 20." Explanation: This is the most common multiplication modifier. 2. By Example: "Multiply 5 by 4." Explanation: This clearly indicates a multiplication operation. 3. Of Example: "3 of 4 is 12." (In the context of finding a product.) Explanation: Commonly used in multiplication when describing the product of two numbers (like "half of 100"). 4. Each Example: "Each item costs 5 dollars." Explanation: Implies multiplication when referring to the price for several items, where the total is the product of the number of items and the price per item. 5. For Example: "A car travels 60 km/h for 2 hours." Explanation: Indicates multiplication, as time and speed are multiplied to find distance. 6. Per Example: "60 km per hour." Explanation: While "per" often refers to division, in the context of rates (like speed or cost per unit), it can be reinterpreted as multiplication by its reciprocal (e.g., km × h⁻¹), but strictly speaking, "per" is not a pure multiplication operator. We'll keep this distinction in mind. 7. As much as Example: "A car travels as much as 60 miles per hour." Explanation: This phrase can indicate a multiplicative relationship in specific contexts. 8. Increased by  Example: "The price increased by a factor of 5." Explanation: Implies multiplication by a factor (e.g., price × 5). 9. Factor of Example: "The value increased by a factor of 3." Explanation: Refers to multiplication by a certain number or factor. 10. Fold Example: "The price has doubled (2-fold)." Explanation: The term "fold" often indicates multiplication, particularly when expressing how much something has increased (e.g., doubled, tripled). 11. In total Example: "The total cost is 5 items each costing 10 dollars, so the total is 50 dollars." Explanation: Refers to multiplying quantities to arrive at a total. 12. As high as Example: "The population increased as high as 5 times the original number." Explanation: Suggests multiplication of the initial amount. 13. Multiplied by Example: "5 multiplied by 3 equals 15." Explanation: Directly refers to multiplication. 14. Scaled by Example: "The output was scaled by 2." Explanation: Indicates multiplication by a scaling factor. 15. Amount times Example: "Amount times price gives the total." Explanation: Directly indicates multiplication. Definitive Addition Modifiers: These terms clearly represent addition in various contexts. 1. Plus Example: "5 plus 3 equals 8." Explanation: This is the most direct and common addition modifier. 2. Added to Example: "5 added to 3 gives 8." Explanation: Clearly indicates the addition operation. 3. Sum of Example: "The sum of 5 and 3 is 8." Explanation: Refers directly to the result of addition. 4. More than Example: "5 is more than 3." Explanation: Can imply adding additional quantities, though used more for comparison. 5. Increased by Example: "The price increased by 5 dollars." Explanation: Indicates that something was added, showing an increase (addition). 6. Together Example: "The group has 5 people together with 3 more." Explanation: Suggests that two or more groups are combined, leading to an addition. 7. In total Example: "The total of 5 and 3 is 8." Explanation: Indicates the result of adding two quantities together. 8. And Example: "5 and 3 make 8." Explanation: Commonly used to indicate addition, especially in informal language or equations. Definitive Subtraction Modifiers: These terms clearly represent subtraction in various contexts. 1. Minus  Example: "5 minus 3 equals 2." Explanation: This is the most direct and common subtraction modifier. 2. Less Example: "5 less 3 is 2." Explanation: Indicates a reduction or removal of a quantity. 3. Subtracted from Example: "5 subtracted from 8 equals 3." Explanation: Specifies that one quantity is being removed from another. 4. Difference of Example: "The difference of 5 and 3 is 2." Explanation: Refers directly to the result of subtraction. 5. Reduced by Example: "The price was reduced by 5 dollars." Explanation: Implies subtraction, where a quantity is lowered. 6. Decreased by Example: "The temperature decreased by 5 degrees." Explanation: Implies a subtraction, indicating a reduction. 7. Fewer than Example: "There are 5 fewer apples than yesterday." Explanation: Indicates that a quantity is reduced or subtracted. Definitive Division Modifiers: These terms clearly represent division in various contexts. 1. Divided by Example: "6 divided by 2 equals 3." Explanation: The most direct division operator. 2. Per Example: "60 km per hour" (also "miles per hour"). Explanation: Represents division in the context of rates or ratios (e.g., distance divided by time). 3. Out of Example: "Out of 5, 2 are red." Explanation: This can suggest a fraction or division of a total quantity. 4. Each Example: "Each person gets 5 dollars." Explanation: Implies division when distributing a total amount across individuals. 5. Per unit Example: "The cost is 5 dollars per unit." Explanation: Implies division, showing how much each unit costs. 6. Ratio of Example: "The ratio of 6 to 2 is 3." Explanation: Refers to division, as the ratio is the result of dividing one quantity by another. 7. Out of Example: "3 out of 5 students passed the test." Explanation: Represents division in a fractional context.