| distributive property definitions |
| # | Definition | Sets |
| 1 | a(b+c)=ab+ac | 54 sets |
| 2 | a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac | 27 sets |
| 3 | a(b + c) = ab + ac | 22 sets |
| 4 | a(b+c) = ab + ac | 9 sets |
| 5 | a(b+c) = ab+ac | 8 sets |
| 6 | 3 x (4 + 2) = (3 x 4) + (3 x 2) = 18 | 8 sets |
| 7 | a(b+c)= ab+ac | 8 sets |
| 8 | the product of a factor and a sum equals the sum of the products | 8 sets |
| 9 | a(b+c) = ab +ac | 7 sets |
| 10 | when numbers are in parantheses the number outside the parantheses multiplies or "distributes" into all the numbers inside the parantheses | 5 sets |
| 11 | a(b+c)=ab+ac and (b+c)a=ba+ca | 5 sets |
| 12 | a(b + c) = ab + bc, a(b - c) = ab - ac | 4 sets |
| 13 | breaking apart problems into 2 simpler problems. | 3 sets |
| 14 | a number times the sum of two addends is equal to the sum of that same number times each individual addend | 3 sets |
| 15 | a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac; ex: 4(3 + 8) = 4(3) + 4(8) | 3 sets |
| 16 | a(b + c) = ab + ac or 4(3 + 8) = 4(3) + 4(8) | 3 sets |
| 17 | 3 x (4 + 2) = (3 x 4) + (3 x 2) | 3 sets |
| 18 | a(b+c)=ac+bc | 3 sets |
| 19 | multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products. | 3 sets |
| 20 | having the property that terms in an expression may be expanded in a particular way to form an equivalent expression, as a(b + c) = ab + ac. | 3 sets |
| 21 | a(b+c)= ab+ac, the product of the number and its sum is the same as the sum of products. | 3 sets |
| 22 | for any number a,b,and c a(b+c), | 2 sets |
| 23 | shows how multiplication affects an addition or subtraction | 2 sets |
| 24 | multiplication distributes over addition or subtraction | 2 sets |
| 25 | multiplying a sum by a number produces the same result as multiplying each addend by the number and adding the products. | 2 sets |
| 26 | 2(x + y) = 2x + 2y | 2 sets |
| 27 | you can multiply a # & a sum by multiplying the # by each part of the sum & adding these products (also works for subtraction) | 2 sets |
| 28 | a ( b+ c)= ab+ ac | 2 sets |
| 29 | 2(x+5) --> 2x+10 | 2 sets |
| 30 | multiplying the number/variable outside the parentheses by the numbers/variables inside the parentheses then adding them together | 2 sets |
| 31 | multiplying the sum by a number is the same as multiplying each addend by the number and then adding the products | 2 sets |
| 32 | 3(x+5)=3x+3x5 | 2 sets |
| 33 | passing out multiplication over addition and subtraction | 2 sets |
| 34 | a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses | 2 sets |
| 35 | breaking apart problems into 2 simpler problems | 2 sets |
| 36 | for every real number a, b, and c | 2 sets |
| 37 | a number times the sum of two addends is equal to the sum of that same number times each individual addend a x (b + c) = (a x b) + (a x c) | 2 sets |
| 38 | if a ( b + c ), then ab + ac | 2 sets |
| 39 | the product of a value and a sum is the sum of products of the value | 2 sets |
| 40 | the product of the sum equals sum of the products | 2 sets |