Both expressions, \( y \cdot 3x \) and \( 3xy \), are equivalent due to the commutative property of multiplication, which states that the order of multiplication does not affect the product. By rearranging \( y \cdot 3x \) as \( 3 \cdot y \cdot x \), we see it equals \( 3xy \).
use the commutative property, prove that these algebraic expressions are equivalent in 1-2 sentences, explain your result
expression 1: y dot 3x
expression 2: 3xy
11 answers
make it different
The expressions \( y \cdot 3x \) and \( 3xy \) are equivalent because of the commutative property of multiplication, which allows us to change the order of factors. Specifically, in \( y \cdot 3x \), we can group the terms as \( 3 \cdot (y \cdot x) \), resulting in \( 3xy \), thus showing their equality.
more different?
The equivalence of \( y \cdot 3x \) and \( 3xy \) can be demonstrated using the commutative property of multiplication. By rearranging the factors in the first expression, we can write \( y \cdot 3x \) as \( 3 \cdot y \cdot x \), which directly transforms it into \( 3xy \), confirming they represent the same value.
more different??
To show that \( y \cdot 3x \) and \( 3xy \) are equivalent, we can apply the commutative property of multiplication, which states that changing the order of factors does not change the product. In \( y \cdot 3x \), we can rearrange the terms to get \( 3 \cdot y \cdot x \), thus demonstrating that both expressions simplify to the same result, \( 3xy \).
more different? plz?
The expressions \( y \cdot 3x \) and \( 3xy \) are equivalent because multiplication is commutative, meaning the order of the factors does not matter. If we write \( y \cdot 3x \) as \( 3 \cdot x \cdot y \), we can clearly see that it can be rearranged to the form \( 3xy \), confirming their equality.
more different without () nor /?
The expressions \( y \cdot 3x \) and \( 3xy \) are equivalent due to the nature of multiplication, as it allows us to rearrange the terms freely. This means that \( y \) multiplied by \( 3x \) can be expressed as \( 3 \) multiplied by \( x \) multiplied by \( y \), leading us directly to \( 3xy \).
1 answer