Question
upstudy study bank question image url

2. Select all the groups of numbers that are ordered correctly from least to greatest. \( -5,-4.3,-\frac{7}{2}, 1 \frac{3}{4} \) \( -1 \frac{2}{3},-1.75,-\frac{5}{7},-0.3 \) \( -15.3,-15 \frac{5}{8},-15 \frac{2}{7},-15 \) \( -2.8,-\frac{4}{5},-\frac{3}{4}, 2.8 \) \( -2 \frac{1}{2},-\frac{7}{3},-2 \frac{1}{4},-2 \frac{1}{10} \)

Ask by Garza Fuentes. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Groups 1, 4, and 5 are ordered correctly from least to greatest.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To tackle the challenge of ordering numbers from least to greatest, let’s first transform everything to a standard numerical form for clarity. The first group: \( -5, -4.3, -\frac{7}{2} \) (which is -3.5), and \( 1 \frac{3}{4} \) (which is 1.75) correctly arranges as \( -5 < -4.3 < -3.5 < 1.75 \). Now, the second group contains \( -1 \frac{2}{3} \) (approximately -1.67), \( -1.75 \), \( -\frac{5}{7} \) (approximately -0.71), and \( -0.3 \), which can be transformed to \( -1.75 < -1.67 < -0.71 < -0.3 \); so this one is incorrect. In the third group, we see that \( -15.3, -15 \frac{5}{8} \) (which is -15.625), \( -15 \frac{2}{7} \) (approximately -15.285), and \( -15 \); here, we crisscross between -15.3, which comes first, leading to an incorrect order as well. As for the fourth group \( -2.8, -\frac{4}{5} \) (which is approximately -0.8), \( -\frac{3}{4} \) (approximately -0.75), and \( 2.8 \), this one also falls under incorrect structure. Lastly, the fifth set: \( -2 \frac{1}{2} \) (or -2.5), \( -\frac{7}{3} \) (over -2.33), \( -2 \frac{1}{4} \) (-2.25), and \( -2 \frac{1}{10} \) (which is -2.1) also shuffles in an incorrect way. Therefore, the only correctly ordered group from least to greatest is the first!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy