Complete the following stepped-out solution to show that 511⋅w⋅115+3 is equivalent to w+3 .(1 point)
5/11⋅w⋅11/5+3
5/11⋅
⋅w+3 ? Commutative Property of Multiplication
⋅w+3 ? Inverse Property of Multiplication
w+3 Identity Property of Multiplication
To show that 511⋅w⋅115+3 is equivalent to w+3, we can follow these steps:
Step 1: Apply the Commutative Property of Multiplication
511⋅w⋅115+3 can be rearranged as 511⋅115⋅w+3, according to the commutative property of multiplication.
Step 2: Apply the Inverse Property of Multiplication
511⋅115⋅w can be simplified by multiplying 511 and 115 first, giving us a product of 58765. Then, we multiply this result by w, giving us 58765⋅w. So, 511⋅w⋅115 can be rewritten as 58765⋅w.
Step 3: Combine the two parts
Now, we can combine 58765⋅w and 3 to get the final expression:
58765⋅w + 3
This expression is equivalent to w + 3, according to the Identity Property of Multiplication.