Question

[( 8/9⋅9/8)⋅s]+h
Associative Property of Multiplication
[__⋅s]+h
Inverse Property of Multiplication
s+h
Identity Property of Multiplication
Remaining Attempts : 2
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Answer 1

Let's break down the expression you provided step by step using the properties of multiplication.

1. **Original Expression**: \[(\frac{8}{9} \cdot \frac{9}{8}) \cdot s + h\]

2. **Associative Property of Multiplication**: This states that the way in which factors are grouped does not change the product. So we can rearrange the expression without affecting the outcome. For this part, we can just say:
\[
\frac{8}{9} \cdot \frac{9}{8} \cdot s
\]

3. **Inverse Property of Multiplication**: The multiplicative inverse states that any number multiplied by its reciprocal equals 1. Thus:
\[
\frac{8}{9} \cdot \frac{9}{8} = 1
\]
So, we can simplify the expression to:
\[
1 \cdot s + h
\]

4. **Identity Property of Multiplication**: This property states that any number multiplied by 1 equals the number itself. Therefore, \(1 \cdot s = s\). We can simplify it to:
\[
s + h
\]

So, the final result is \(s + h\).

Please let me know if you need any more help!