name the property shown by each statement

9. 34+42=42+34:commutative
10. 8x(53+12)= (8x53)+(8x12): distributive
11.1/16x16=1: inverse property
12.16x(5x15)=(16x5)x15 : associative
13. 2/5x5/3=5/3x2/5:commutative

Sure! Here are the properties shown by each statement:

9. 34+42=42+34: This statement demonstrates the commutative property of addition. The commutative property states that you can change the order of the terms being added without changing the sum.

10. 8x(53+12)=(8x53)+(8x12): This statement showcases the distributive property of multiplication over addition. The distributive property states that when you multiply a number by the sum of two other numbers, it is the same as multiplying the number by each of the two numbers separately and then adding the products together.

11. 1/16x16=1: This statement illustrates the inverse property of multiplication. The inverse property states that any number multiplied by its multiplicative inverse (reciprocal) equals 1.

12. 16x(5x15)=(16x5)x15: This statement exemplifies the associative property of multiplication. The associative property states that when multiplying three or more numbers, the product remains the same regardless of how the numbers are grouped.

13. 2/5x5/3=5/3x2/5: This statement displays the commutative property of multiplication. The commutative property states that you can change the order of the factors being multiplied without changing the product.

Each of these properties plays a significant role in mathematics and helps us understand the relationships between numbers and operations.