Question

Which property is illustrated by the statement?

(2 + 3.4) + 6 = 2 + (3.4 + 6) (1 point)
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition


To which subset of real numbers does the number one-third belong? (1 point)
rational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers


What is the algebraic expression for the following word phrase: the product of 2 more than y and 7? (1 point)
7(y+2)
2(y+7)
7+(y+2)
7-(y+2)

Answer 1

1. First option.

2. First option.

3. First option.

Explanation:

1. You need to remember that the Associative Property of Addition states the following:

`(a+b)+c=a+(b+c)`

Notice that you can group the numbers "a", "b" and "c" in any combination.

In this case, given the statement provided in the exercise:

`(2 + 3.4) + 6 = 2 + (3.4 + 6)`

You can identify that it ilustrates the Associative Property of Addition.

2. Remember that:

- Natural numbers are known as "Counting numbers".

- Whole numbers include positive numbers and zero.

- Integers include the Whole numbers and the negative numbers.

- Rational numbers are those numbers that can be wriitten as a fraction:

`(a)/(b)`

Where "a" is the numerator and "b" is the denominator.

- Integers are a subset of Rational Numbers.

- Irrational numbers cannot be written as a fraction.

Based on this, you can conclude that
`(1)/(3)` is a Rational number.

3. The product is the result of a multiplication.

In this case the word "more than" indicates Addition.

Then, the product of 2 more than "y" and 7 can be expressed as:

`7(y+2)`