Select the expressions that are equivalent to 3(7w)
21w
3w x 7
7w x 3
7 x 3 x w
These could be possible correct answers
To find the equivalent expressions to 3(7w), we will simplify the expression by applying the distributive property. The distributive property states that a number outside of parentheses can be multiplied by each term inside the parentheses. In this case, 3 is multiplied by each term inside the parentheses, which is 7w:
3(7w) = 3 * 7 * w
Simplifying further, we multiply 3 by 7 to get:
3 * 7 = 21
Thus, the expression 3(7w) is equal to 21w.
Now, let's look at the options and determine which ones are equivalent to 3(7w):
A) 5(9w)
To check if it is equivalent, we simplify it using the same steps:
5(9w) = 5 * 9 * w
= 45w
Since 45w is not equal to 21w, option A is not equivalent to 3(7w).
B) 21w
To check if it is equivalent, we compare it to 3(7w):
21w = 21w
Since 21w is equal to 21w, option B is equivalent to 3(7w).
C) 10w
To check if it is equivalent, we simplify it using the same steps:
10w ≠ 21w
Since 10w is not equal to 21w, option C is not equivalent to 3(7w).
D) 7(3w)
To check if it is equivalent, we simplify it using the same steps:
7(3w) = 7 * 3 * w
= 21w
Since 21w is equal to 21w, option D is equivalent to 3(7w).
In conclusion, the expressions that are equivalent to 3(7w) are B) 21w and D) 7(3w).
To find expressions that are equivalent to 3(7w), we can simplify the given expression.
Step 1: Multiply 3 by 7w:
3 * 7w = 21w
So, the expressions that are equivalent to 3(7w) are 21w.