Fractions and Decimals

Discrete Mathematics

Differential Equations

Diagram & Picture

Numbers & Operations

Data & Statistics

Natural Numbers

Ratios & Proportions

Order of Operations

Exponents & Radicals

Complex Numbers

Congruence & Similarity

Pythagorean Theorem

Transformations

Data Collection & Representation

Measures of Central Tendency

Measures of Spread

Statistical Inference

Non-Right Triangle

Unit Circle & Radians

Identities & Equations

Limits & Continuity

Sequences & Series

Solved on Nov 13, 2023

Find the numbers with absolute values of $3$ , $\frac{5}{3}$ , and $9 \frac{1}{2}$ .

STEP 1

Assumptions1. Absolute value of a number is its distance from zero on the number line, regardless of the direction. . Therefore, the absolute value of a number is always non-negative.
3. Both positive and negative values of a number have the same absolute value.

STEP 2

The absolute value of a number is the number itself if it is positive or zero, and it is the negation of the number if it is negative. So, for each given number, there are two numbers that have that absolute value the number itself and its negation.
For the number, the numbers with an absolute value of are and -.
$|| =, |-| =$

STEP 3

For the number $\frac{5}{3}$ , the numbers with an absolute value of $\frac{5}{3}$ are $\frac{5}{3}$ and $-\frac{5}{3}$ .
$|\frac{5}{3}| = \frac{5}{3}, |-\frac{5}{3}| = \frac{5}{3}$

STEP 4

For the number $9\frac{1}{2}$ , the numbers with an absolute value of $9\frac{1}{2}$ are $9\frac{1}{2}$ and $-9\frac{1}{2}$ .
$|9\frac{1}{2}| =9\frac{1}{2}, |-9\frac{1}{2}| =9\frac{1}{2}$ So, the numbers that have an absolute value of3 are3 and -3, the numbers that have an absolute value of $\frac{}{3}$ are $\frac{}{3}$ and $-\frac{}{3}$ , and the numbers that have an absolute value of $9\frac{1}{2}$ are $9\frac{1}{2}$ and $-9\frac{1}{2}$ .

Was this helpful?

Start learning now

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

Contact Influencer program Policy Terms