5/6 0.8 -1/3 -0.3 5/7 from least to greatest
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

First, separate negatives from positives, because negatives are smaller (less positive, more negative) than positives. Or think of the numbers on a number line—the smaller numbers are further to the left. That means you can go on to work out the order of negatives separately from the order of positives.

So the negatives are −⅓ and -0.3. And the positives are ⅚, 0.8 and ⁵⁄₇.

Multiplying numbers by a positive number doesn’t change their comparative size, so if we carefully choose the multiplier it’s possible to see at a glance their relative sizes. Starting with the negatives, choose 3 as the multiplier: -1 and -0.9. -1 is more negative than -0.9 so the order is -1, -0.9.

For the positives we can get rid of the fractions by multiplying by 42 (6×7 is the lowest common denominator). 35, 33.6, 30. We can ignore the decimal: 35, 33, 30 can easily be put in order: that is: 30, 33.6, 35.

Now we switch back to the originals: -⅓, -0.3, ⁵⁄₇, 0.8, ⅚.

by Top Rated User (765k points)

Related questions

2 answers
asked Aug 24, 2017 in Other Math Topics by kylieburcham293 Level 1 User (140 points) | 1.4k views
1 answer
asked Mar 6, 2013 in Word Problem Answers by anonymous | 835 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,105 questions
90,253 answers
62,070 users