1. Write an example of the Associative Property of Addition.
2. To which subset of real numbers does the number 12 belong? (Hint: there may be more than one)?
3. What is the algebraic expression for the following word phrase: the product of 4 more than x and 6?
4. What is the simplified form of the expression √196
5. Evaluate (4/5)^2
1. An example of the Associative Property of Addition is: (2 + 3) + 4 = 2 + (3 + 4). This shows that when adding three numbers, the grouping of the numbers does not affect the sum.
2. The number 12 belongs to the subset of real numbers known as integers, as well as the subset of real numbers known as rational numbers.
3. The algebraic expression for the word phrase "the product of 4 more than x and 6" is 6(4 + x).
4. The simplified form of the expression √196 is 14. This is because the square root of 196 equals 14.
5. Evaluating (4/5)^2, we get (4/5)^2 = (4/5) × (4/5) = 16/25. So, the value is 16/25.