Write an example of the Associative Property of Addition.
The associative property of addition states that when adding three or more numbers together, the grouping of the numbers does not affect the sum.
For example, given the three numbers 2, 5, and 3, we can add them together in two different ways:
(2 + 5) + 3 = 7 + 3 = 10
2 + (5 + 3) = 2 + 8 = 10
In both cases, the sum is 10. Therefore, the associative property of addition holds true.
To which subset of real numbers does the number 12 belong? (Hint: there may be more than one)?
The number 12 belongs to the following subsets of real numbers:
1. Natural numbers or Counting numbers: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ...}
2. Whole numbers: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ...}
3. Integers: {..., -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ...}
4. Rational numbers: {12/1, 12/2, 12/3, 12/4, 12/5, 12/6, ...}
5. Real numbers: the set of all rational and irrational numbers, including 12, which can be expressed as a decimal (e.g. 12.0).
Therefore, the number 12 belongs to the subsets of natural numbers, whole numbers, integers, rational numbers, and real numbers.
What is the algebraic expression for the following word phrase: the product of 4 more than x and 6?
The algebraic expression for the given word phrase "the product of 4 more than x and 6" is (x + 4) * 6.
To which subset of real numbers does the number 1/2 belong? (Hint: there may be more than one)?
The number 1/2 belongs to the following subsets of real numbers:
1. Rational numbers: The number 1/2 can be expressed as a fraction and is therefore a rational number.
2. Real numbers: The set of all rational and irrational numbers includes the number 1/2, as it can also be expressed as a repeating or terminating decimal (0.5).
Therefore, the number 1/2 belongs to the subsets of rational numbers and real numbers.