Search found 8 matches
- Fri May 28, 2021 6:21 pm
- Forum: College / University Level
- Topic: All About Decimals
- Replies: 1
- Views: 5690
All About Decimals
1. What is the difference among ‘decimal number’, ‘decimal numeral’, ‘decimal fraction’, ‘decimal number system’ and ‘decimal numeral system’? 2. Is decimal a type of number? Is there any difference between ‘decimals’ and ‘decimal numbers’? What types of rational numbers include the numbers like $4....
- Mon May 24, 2021 11:19 pm
- Forum: College / University Level
- Topic: All About Fractions
- Replies: 5
- Views: 10258
- Mon May 24, 2021 12:04 am
- Forum: College / University Level
- Topic: All About Fractions
- Replies: 5
- Views: 10258
Re: All About Fractions
I think my latex commands are correct. If you are still facing trouble, you can see the attached image above.
- Sun May 23, 2021 11:24 am
- Forum: College / University Level
- Topic: All About Fractions
- Replies: 5
- Views: 10258
All About Fractions
(If you are facing trouble to see the texts and mathematical expressions of this post, you can see the attached image below.) $1.$ What is the informal (or intuitive) and formal definition of fraction and all kinds of fractions$?$ $2.$ Can we say that $“$a fraction is a number or expression of the f...
- Fri Apr 30, 2021 3:01 pm
- Forum: Test Forum
- Topic: Mathematics
- Replies: 4
- Views: 7944
Re: Mathematics
How could you geometrically prove that $“(-a)⋅(-b + c) = (-a)⋅(-b) + (-a)⋅c$ and $(-b + c)⋅(-a) = (-b)⋅(-a) + c⋅(-a)$ where $-a$ and $-b$ are any negative real number and $c$ is any positive real number$”$? I can prove the distributive property of nonnegative real numbers geometrically.
- Wed Apr 28, 2021 11:12 pm
- Forum: Test Forum
- Topic: Mathematics
- Replies: 4
- Views: 7944
Re: Mathematics
Yes! it's the distributive property of real numbers. Isn't there any proof of this? Why is this property called an axiom? It doesn't seem trivial to me. Was the multiplication between two negative real numbers or a negative real number and a positive real number defined before setting up the distrib...
- Wed Apr 28, 2021 10:57 pm
- Forum: College / University Level
- Topic: Prove that real multiplication distributes over addition
- Replies: 0
- Views: 9672
Prove that real multiplication distributes over addition
The distributive property of real numbers states that $“$for all $a, b, c \in \mathbb{R}$, we've $a⋅(b + c) = a⋅b + a⋅c$ and $(b + c)⋅a = b⋅a + c⋅a”$. How to prove this axiomatic property of real numbers? Is there any rigorous proof of this? Why was this property accepted as an axiom? It doesn't see...
- Mon Apr 26, 2021 2:01 am
- Forum: Test Forum
- Topic: Mathematics
- Replies: 4
- Views: 7944
Mathematics
"সকল a, b, c ∈ ℝ এর জন্য, a (b + c) = ab + ac এবং (b + c) a = ba + ca হবে"। বাস্তব সংখ্যার এই স্বীকার্যভিত্তিক ধর্মটি কীভাবে প্রমাণ করব? এটার কি কোনো কড়াকড়ি প্রমাণ আছে? আমি মূলত "যখন a এবং b যেকোনো ঋণাত্নক বাস্তব সংখ্যা এবং c যেকোনো ধনাত্মক বাস্তব সংখ্যা, তখন a (b + c) = ab + ac এবং (b + c) a = ba...