What is another way to write 3x(4+7)?
A.3x4+7
B.3x4x7
C.3x4+4x7
D.(3x4)+(3x7)
Is the answer D?
correct
Yes, the correct answer is D. (3x4)+(3x7).
To find another way to write the expression 3x(4+7), we can apply the distributive property. The distributive property states that multiplying a number by a sum is the same as multiplying the number individually by each addend and then adding the products.
So, using the distributive property, we have:
3x(4+7) = 3x4 + 3x7
Now, let's look at the options given:
A. 3x4+7: This option does not apply the distributive property correctly as it only multiplies 3 and 4, but does not multiply 3 and 7.
B. 3x4x7: This option multiplies 3, 4, and 7 together, but it does not represent the correct distribution of multiplication.
C. 3x4+4x7: This option correctly multiplies 3 and 4, and also multiplies 4 and 7, but it does not show the correct order of operations. According to the order of operations (PEMDAS/BODMAS), we need to perform the addition before the multiplication.
D. (3x4)+(3x7): This option applies the distributive property correctly, multiplying both 3 and 4, and 3 and 7 individually, and then adding the products together. Therefore, the answer is D.
So, you are correct. The answer is D.