Which property is illustrated by the following statement 5g+7=7+5g
The property illustrated by the statement is the commutative property of addition.
The property illustrated by the equation 5g + 7 = 7 + 5g is the Commutative Property of Addition. This property states that the order in which you add two numbers does not affect the sum. In this case, the equation shows that adding 5g to 7 is the same as adding 7 to 5g.
To understand and verify this property, let's break down the equation step by step:
1. Start with the left side of the equation: 5g + 7.
2. No matter the value of g, we can add 5g to 7. For example, if g equals 2, then we have 5(2) + 7.
3. Calculate the multiplication first: 5(2) = 10.
4. Add the result to 7: 10 + 7 = 17.
Now, let's examine the right side of the equation: 7 + 5g.
1. Again, for any value of g, we can add 7 to 5g. Using the previous example where g equals 2, we have 7 + 5(2).
2. Calculate the multiplication first: 5(2) = 10.
3. Add 7 to the result: 7 + 10 = 17.
As you can see, regardless of the value of g, both sides of the equation result in 17. This demonstrates the Commutative Property of Addition, where changing the order of the terms (5g and 7) does not affect the final sum.