Name the property of real numbers illustrated by the following equation

There are three questions in the image, so here are the three answers.

1) Question 6. Name the property of real numbers illustrated by the following equation

4.5 + 9.8 + 1.5 + 3.2 = (4.5 + 1.5) + (9.8 + 3.2).

associative property of addition.

Justification:

The associative property of addition states that you can add grouping the numbers, which you do by using parenthesis, without modifiying the result.

So, in this case the numbers 4.5 + 9.8 were grouped in (4.5 + 9.8) and the numbers 1.5 + 3.2 were grouped in (1.5 + 3.2).

Here you can verify that:

2) Question 7. Name the property of real numbers illustrated by the following equation.

distributive property.

Explanation:

In the given equation the factor out the parenthesis was multiplied by each terrm inside the parenthesis to obtain the result of the multiplication, which is the application of the distributive property.

3) Question 8. Which algebraic expression models the following word phrase? 4 less than the product of 5 and y.

5y - 4

Explanation:

1) Product of 5 and y means 5 × y or 5y.

2) 4 less means that you have to subtract 4 from the previous product, hence 5y - 4, which is the answer.

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