28. Use the Distributive Property to simplify x(4x^2 + x + 4)
Is it 4x^3 + x^2 + 4x?
42. To which set of numbers does 0 not belong?
46. Pi belongs to which group of real numbers?
a. Odd numbers
b. rational numbers
c. irrational numbers
C?
48. Can a number be both irrational and an integer?
a. yes
b. no
c. sometimes
Help! Thanks
-MC
48. No, think about that.
46 right
42 books have been written on what zero means. In poorly written high school texts, the issues are ignored, and they just give you some things to memorize. Commonly, zero is not thought of as a whole number, nor a positive integer, nor a negative integer, however, it is commonly included in the set of "non-negative integers".
Zero did not exist at all until Descartes started to use it as a place holder in the 1700's, well after math had been invented. He did this as a part of the French Academy's efforts to standardize math notation.
Before Descartes efforts, 1500 would have been written as 15--, and 30+150 would have been tabulated this way
3-
+15-
total 18-
If your math teacher is stupid enough to ask you this question, look it up in your textbook and memorize the textbook's definition for the test.
28. correct
Thanks!
-MC
28. To simplify the expression using the Distributive Property, you need to distribute the x to each term inside the parentheses:
x(4x^2 + x + 4) = 4x^3 + x^2 + 4x
So, yes, your answer is correct.
42. 0 belongs to the set of "whole numbers," "integers," and "rational numbers," as it can be expressed as 0/1. However, it does not belong to the set of "natural numbers" because natural numbers start from 1 onwards.
46. Pi belongs to the group of "irrational numbers" because it cannot be expressed exactly as a finite or repeating decimal. It is approximately equal to 3.14159...
So, your answer is correct, it belongs to the group of "irrational numbers" (c).
48. A number cannot be both irrational and an integer.
An "irrational number" is a number that cannot be expressed as a fraction or ratio of two integers, like pi or the square root of 2.
An "integer," on the other hand, can be positive, negative, or zero, but it must be a whole number (no fractions or decimals).
So, the correct answer is b. "no," a number cannot be both irrational and an integer.
I hope this helps! Let me know if there's anything else I can assist you with.