You would distribute the numbers for example 5(4+5) you would go 5*4 + 5*5and you get the answer which is 45.
None whatsoever. You might find the distributive property useful when trying to calculate 39*74. Of course, if you are familiar with the 39 times table or the 74 times table, the distributive property is a complete waste of time! But somehow I doubt that level of arithmetic competence.
To simplify using the distributive property, you distribute a number or variable outside a set of parentheses to each term inside the parentheses. For example, if you have the expression 3(x + 2), you would distribute the 3 to both x and 2 to get 3x + 6. This helps you combine like terms and simplify the expression further.
To simplify the expression (9(x + 3)) using the Distributive property, multiply 9 by each term inside the parentheses. This gives you (9 \cdot x + 9 \cdot 3), which simplifies to (9x + 27). Thus, the simplified expression is (9x + 27).
The expression (42 + 7a) cannot be simplified further using the distributive property, as it is already in its simplest form. The distributive property applies to expressions where you can factor out a common term or distribute a coefficient across terms inside parentheses. In this case, since there are no parentheses or common factors, (42 + 7a) remains unchanged.
You can use properties of operations, such as the commutative, associative, and distributive properties, to write equivalent expressions. For example, the commutative property allows you to change the order of terms in addition or multiplication (e.g., (a + b = b + a)). The associative property lets you regroup terms (e.g., ( (a + b) + c = a + (b + c) )). The distributive property allows you to distribute a factor across terms in parentheses (e.g., (a(b + c) = ab + ac)). Using these properties can simplify expressions or rewrite them in different forms while maintaining equality.
the distributive property is only used when simplifying expressions or solving an equation: to write an expression just translate the question into symbols and letters - you don't need to use the distributive property or any other property for that
22680 is the answer
10(2k + 5)
None whatsoever. You might find the distributive property useful when trying to calculate 39*74. Of course, if you are familiar with the 39 times table or the 74 times table, the distributive property is a complete waste of time! But somehow I doubt that level of arithmetic competence.
To simplify using the distributive property, you distribute a number or variable outside a set of parentheses to each term inside the parentheses. For example, if you have the expression 3(x + 2), you would distribute the 3 to both x and 2 to get 3x + 6. This helps you combine like terms and simplify the expression further.
To simplify the expression (9(x + 3)) using the Distributive property, multiply 9 by each term inside the parentheses. This gives you (9 \cdot x + 9 \cdot 3), which simplifies to (9x + 27). Thus, the simplified expression is (9x + 27).
The expression (42 + 7a) cannot be simplified further using the distributive property, as it is already in its simplest form. The distributive property applies to expressions where you can factor out a common term or distribute a coefficient across terms inside parentheses. In this case, since there are no parentheses or common factors, (42 + 7a) remains unchanged.
2f + 10 in distributive property
You can use properties of operations, such as the commutative, associative, and distributive properties, to write equivalent expressions. For example, the commutative property allows you to change the order of terms in addition or multiplication (e.g., (a + b = b + a)). The associative property lets you regroup terms (e.g., ( (a + b) + c = a + (b + c) )). The distributive property allows you to distribute a factor across terms in parentheses (e.g., (a(b + c) = ab + ac)). Using these properties can simplify expressions or rewrite them in different forms while maintaining equality.
To simplify ( 8(5x - 9) ) using the distributive property, you multiply each term inside the parentheses by 8. This gives you ( 8 \times 5x - 8 \times 9 ), which simplifies to ( 40x - 72 ). Thus, the expression simplified is ( 40x - 72 ).
(32 x 9) + (32 x 91) = 32(9 + 91) = 32 x 100 = 3200
An expression equal to 15 + 35, using distributive property, is 5(3 + 7). Under distributive property, 5*3=15 and 5*7=35.