Question

How many integers in (0, 100) are divisible by 2 or 3 but not both?

          How many integers in (0, 100) are divisible by 2 or 3 but not both?
        

Added by Amber H.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
How many integers in (0, 100) are divisible by 2 or 3 but not both?
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Kathleen Carty
Jennifer Stoner verified

David Mccaslin and 101 other subject Calculus 3 educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
how-many-positive-integers-not-exceeding-200-and-divisible-by-2-or-3

how many positive integers not exceeding 200 and divisible by 2 or 3

David M.

3-how-many-integers-between-1-and-60-are-divisible-by-at-least-one-of-2-3-and-5-85052

Madhur L.

how-many-positive-integers-less-than-100-are-divisible-by-2-3-or-5-91314

How many positive integers less than 100 are divisible by 2, 3 or 5?

William S.


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,994 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,816 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,365 solutions

*

Transcript

-
00:02 So in this problem, we're asked how many positive integers not exceeding 200, so these are less than or equal to 200, that are divisible by 2 or 3.
00:33 All right.
00:34 So first of all, the integers divisible by 2 is simply 200 divided by 2, which is 100.
00:51 So there are 100 integers, right? 2, 4, 6, 8, and so on.
00:55 Okay.
00:57 Now, and these are positive, so zero doesn't count.
01:05 Okay, now then, do the same thing, right, for three.
01:11 So integers divisible by three.
01:20 Well, that's 200 over 3, which is 66 .666, right? we'll just take the integer portion of that, because we to be less than or equal to 200...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever