Complete the following stepped-out solution to show that [ 8/9 x (s x 9/8)] + h is equivalent to s + h
[(8/9 x ?) x s] + h Associative Property of Multiplication
[? x s] + h
Inverse Property of Multiplication
[s x ?] + h
Identity Property of Multiplication
s + h
Therefore, [ 8/9 x (s x 9/8)] + h is equivalent to s + h.
[(8/9 x ?) x s] + h Associative Property of Multiplication
[(8/9 x ?) x s] + h is correct so far. To continue, we need to simplify the expression.
First, let's simplify (8/9 x ?). Since we don't know what ? is, we can't simplify further, so we'll leave it as it is.
Next, let's simplify the expression [(8/9 x ?) x s]. Using the associative property of multiplication, we can rearrange the order of the factors:
[(8/9 x ?) x s] = [8/9 x (s x ?)]
Now, let's replace (s x ?) with a single variable, let's say x, to simplify further:
[8/9 x (s x ?)] = [8/9 x x]
Now, we can simplify [8/9 x x]:
[8/9 x x] = (8/9) * x
Finally, we have:
[(8/9 x ?) x s] + h = (8/9) * x + h
At this point, we can see that the expression (8/9) * x is equivalent to s, so we can replace it:
(8/9) * x + h = s + h
Therefore, [(8/9 x ?) x s] + h is indeed equivalent to s + h.
What is the "?" in this equation [(8/9 x ?) x s] + h Associative Property of Multiplication
I apologize for the confusion in my previous response. The "?" in the equation [(8/9 x ?) x s] + h does not have a specific value given and cannot be determined based on the given equation. It represents an unknown value or variable that you can substitute with any number or expression. The associative property of multiplication allows us to rearrange the order of multiplication, but it does not provide a specific value for the "?".
Complete the following stepped-out solution to show that [ 8/9 x (s x 9/8)] + h is equivalent to s + h
[(8/9 x ?) x s] + h Associative Property of Multiplication
I apologize for the previous incorrect response. Let's correct it.
We have the expression [ 8/9 x (s x 9/8)] + h and we want to show that it is equivalent to s + h.
To start, let's simplify the expression 8/9 x (s x 9/8):
8/9 x (s x 9/8) can be rearranged using the associative property of multiplication:
(8/9 x s) x 9/8
Now, let's simplify (8/9 x s) x 9/8:
(8/9 x s) x 9/8 = (8/9) x (s x 9/8)
Now, we can simplify (8/9) x (s x 9/8):
(8/9) x (s x 9/8) = (8/9) x (9/8 x s)
Using the associative property of multiplication again, we can rearrange the order of the factors:
(8/9) x (9/8 x s) = ((8/9) x 9/8) x s
(8/9) x 9/8 can be simplified:
(8/9) x 9/8 = 1 x s
Since any number multiplied by 1 is itself, we have:
(8/9 x s) x 9/8 = s
Now, let's substitute this result back into the original expression:
[ 8/9 x (s x 9/8)] + h = s + h
Therefore, we have shown that [ 8/9 x (s x 9/8)] + h is equivalent to s + h.
Complete the following stepped-out solution to show that [ 8/9 x (s x 9/8)] + h is equivalent to s + h
[? x s] + h
Inverse Property of Multiplication
I apologize for the confusion in my previous responses. Let's correct it.
We have the expression [ 8/9 x (s x 9/8)] + h and we want to show that it is equivalent to s + h.
To start, let's simplify the expression 8/9 x (s x 9/8):
8/9 x (s x 9/8) can be rewritten as (8/9 x 9/8) x s using the associative property of multiplication:
= (1) x s
Since 8/9 multiplied by 9/8 is equal to 1 (the multiplicative inverse property), we have:
= 1 x s
Since any number multiplied by 1 is itself, we have:
= s
Now, substituting this result back into the original expression, we have:
[ 8/9 x (s x 9/8)] + h = s + h
Therefore, we have shown that [ 8/9 x (s x 9/8)] + h is equivalent to s + h.