Math  /  Numbers & Operations

Question```latex The graphic organizer is used to organize sets of real numbers. List the section that each number would belong in.
a) 0 \qquad b) \sqrt{3} \qquad c) \frac{8}{5} \qquad d) \frac{14}{7} \qquad e) \sqrt{25}
A is rational
B is integers
C is whole numbers
D is natural numbers
E is irrational

Studdy Solution

STEP 1

1. We are categorizing numbers into different sets of real numbers.
2. The sets are defined as follows: - A: Rational numbers - B: Integers - C: Whole numbers - D: Natural numbers - E: Irrational numbers
3. The numbers to categorize are: 00, 3\sqrt{3}, 85\frac{8}{5}, 147\frac{14}{7}, and 25\sqrt{25}.

STEP 2

1. Define each set of numbers.
2. Categorize each number into the appropriate set(s).

STEP 3

Define the sets of numbers: - Rational numbers (A): Numbers that can be expressed as a fraction pq\frac{p}{q} where pp and qq are integers and q0q \neq 0. - Integers (B): Whole numbers and their negatives, including zero. - Whole numbers (C): Non-negative integers, including zero. - Natural numbers (D): Positive integers, starting from 1. - Irrational numbers (E): Numbers that cannot be expressed as a fraction of two integers, with non-repeating, non-terminating decimal expansions.

STEP 4

Categorize each number:
a) 00 - 00 is a whole number, an integer, and a rational number. - Section: A, B, C

STEP 5

b) 3\sqrt{3} - 3\sqrt{3} is an irrational number. - Section: E

STEP 6

c) 85\frac{8}{5} - 85\frac{8}{5} is a rational number. - Section: A

STEP 7

d) 147\frac{14}{7} - 147=2\frac{14}{7} = 2, which is a natural number, whole number, integer, and rational number. - Section: A, B, C, D

STEP 8

e) 25\sqrt{25} - 25=5\sqrt{25} = 5, which is a natural number, whole number, integer, and rational number. - Section: A, B, C, D
Categorization: - 00: A, B, C - 3\sqrt{3}: E - 85\frac{8}{5}: A - 147\frac{14}{7}: A, B, C, D - 25\sqrt{25}: A, B, C, D

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord