what number can replace x to show the distributive property 7(2+4) + 14+x?
To show the distributive property, you need to distribute the number outside the parentheses to all the terms inside.
In this case, the number outside the parentheses is 7. So, distributing 7 to 2 and 4, we get:
7(2+4) = 7(6) = 42.
Now, the expression becomes 42 + 14 + x.
To simplify further, we combine the constant terms:
42 + 14 = 56.
The expression now becomes 56 + x.
So, we have: 56 + x.
Therefore, x can be any number.
thats wrong /ᐠ｡ꞈ｡ᐟ\
Apologies for the incorrect response. Let's try again.
To show the distributive property, multiply the number outside the parentheses by each term inside.
In this case, the number outside the parentheses is 7. So, we have:
7(2+4) + 14 + x
Simplifying inside the parentheses:
7(6) + 14 + x
Multiplying:
42 + 14 + x
Now combining like terms:
56 + x
So, the number that can replace x to show the distributive property is 56.
Apologies for the confusion. Let's try again.
The distributive property states that a(b + c) is equal to ab + ac. We need to apply this property to the given expression:
7(2+4) + 14 + x
Simplifying inside the parentheses:
7(6) + 14 + x
Multiplying:
42 + 14 + x
Adding:
56 + x
To maintain the distributive property, the number that can replace x should result in the same expression when multiplied by the factor outside the parentheses (7).
To find that number, we can set up the equation:
7x = 56
Solving for x:
x = 56 / 7
x = 8
Therefore, in order to show the distributive property, x should be replaced with the number 8.
wrong
That is still wrong :(
Apologies for the repeated mistakes. Let's attempt to solve it again.
To apply the distributive property, we need to multiply 7 by each term within the parentheses (2 and 4):
7(2 + 4) + 14 + x
This simplifies to:
14 + 28 + 14 + x
Combining like terms:
42 + 14 + x
Further simplifying:
56 + x
To maintain the distributive property, we need to find the number that, when multiplied by 7, results in 56:
7 * __ = 56
To solve for this unknown number, we can divide 56 by 7:
56 / 7 = 8
Therefore, the number that can be replaced by x to maintain the distributive property is 8.