# Thread:

1. ## Name the sets of numbers to which each number belongs?

Well yeah I just started Algebra II this year. I don't really understand this yet. Can someone do a couple of these? and then explain?

I just scanned it into my computer.

Here's what I can use:

1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.

2. 1) 6/7 is a rational number because it can be expressed as a ratio of two integers. Since all rational numbers are real numbers, 6/7 is also a real number.

3) 0 is a whole number and an integer. It is also a rational number (you could write 0 as 0/1) and a real number.

8) 26.1 is a rational number (you could write it as 261/10). Rational numbers can also be decimals that terminate, like this one.

14) $\sqrt{42}$ is an irrational number. It's decimal equivalent would be a non-repeating, non-terminating decimal. All square roots of positive integers that are not perfect squares are irrational numbers. The numbers $\pi$ and e are also irrational numbers. Since all irrational numbers are also real numbers, $\sqrt{42}$ is also a real number.

19) 894,000 is a natural number, a whole number, an integer, a rational number, and a real number.

A couple of other points:
- A number cannot be BOTH rational and irrational. It is one or the other.
- Note the hierarchy of these sets of numbers. Example: all integers are rational numbers, but not all rational numbers are integers.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9306051135063171, "perplexity_flag": "head"}