Studdy AI Logo
Math

QuestionOrder the numbers from least to greatest: {−18,18,−13,17,−15}\left\{-\frac{1}{8}, \frac{1}{8},-\frac{1}{3}, \frac{1}{7},-\frac{1}{5}\right\}. Which set is correct?

Studdy Solution

STEP 1

Assumptions1. We are given a set of five fractions −18,18,−13,17,−15-\frac{1}{8}, \frac{1}{8},-\frac{1}{3}, \frac{1}{7},-\frac{1}{5} . We need to arrange these fractions in order from least to greatest3. Negative fractions are less than positive fractions4. Among fractions with the same sign, the fraction with the larger denominator is smaller

STEP 2

First, let's separate the negative fractions from the positive fractions.
Negative fractions −18,−1,−15-\frac{1}{8}, -\frac{1}{}, -\frac{1}{5}Positive fractions 18,17\frac{1}{8}, \frac{1}{7}

STEP 3

Next, let's arrange the negative fractions from least to greatest. Remember, the fraction with the larger denominator is smaller.
−13<−15<−18-\frac{1}{3} < -\frac{1}{5} < -\frac{1}{8}

STEP 4

Now, let's arrange the positive fractions from least to greatest. Again, the fraction with the larger denominator is smaller.
18<17\frac{1}{8} < \frac{1}{7}

STEP 5

Finally, combine the ordered negative fractions and ordered positive fractions to get the set of fractions in order from least to greatest.
{−13,−15,−18,18,17}\left\{-\frac{1}{3},-\frac{1}{5},-\frac{1}{8}, \frac{1}{8}, \frac{1}{7}\right\}So, the set of numbers that are in the correct order from least to greatest is {−13,−15,−18,18,17}\left\{-\frac{1}{3},-\frac{1}{5},-\frac{1}{8}, \frac{1}{8}, \frac{1}{7}\right\}.

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