Your cart is currently empty!
Login to access content.
Not A Member Yet?
21st Century Pedagogy | Tools & Tuitions For Learners And Educators.
Share/AssignMind Map Overal Idea Content Speed Notes Quick Coverage Cube number: Number obtained when a number is multiplied by itself three times. 23 = 2 x 2 x 2 = 8, 33 = 3 x 3 x 3=27, etc. Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed…
Personalised Teaching & Learning.
Study | Assess | Interact
Select Your Choice Of Educational Tool .
Share/AssignMind Map Overal Idea Content Speed Notes Quick Coverage Cube number: Number obtained when a number is multiplied by itself three times. 23 = 2 x 2 x 2 = 8, 33 = 3 x 3 x 3=27, etc. Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed… readmore
Mind Map
Overal Idea
Content
Speed Notes
Quick Coverage
Cube number: Number obtained when a number is multiplied by itself three times. 23 = 2 x 2 x 2 = 8, 33 = 3 x 3 x 3=27, etc.
Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They
can be expressed as sum of two cubes in two different ways. (Scroll down till the end of the page).
Study Tools
Numbers obtained when a number is multiplied by itself three times are known as cube numbers. For example 1, 8, 27, … etc.
If in the prime factorisation of any number each factor appears three times, then the
number is a perfect cube.
The symbol
denotes cube root. For example
Perfect Cube: A natural number is said to be a perfect cube if it is the cube of some natural number. Example: 8 is perfect cube, because there is a natural number 2 such that 8 = 23, but 18 is not a perfect cube, because there is no natural number whose cube is 18.
The cube of a negative number is always negative.
Properties of Cube of Number:
- Cubes of even number are even.
- Cubes of odd numbers are odd.
- The sum of the cubes of first n natural numbers is equal to the square of their sum.
- Cubes of the numbers ending with the digits 0, 1, 4, 5, 6 and 9 end with digits 0, 1, 4, 5, 6 and 9 respectively.
- Cube of the number ending in 2 ends in 8 and cube of the number ending in 8 ends in 2.
- Cube of the number ending in 3 ends in 7 and cube of the number ending in 7
ends in 3.
Key Terms
Topic Terminology
Term:
Important Tables
Topic Terminology
Term:
Assessments
Test Your Learning
Dig Deep
Deep Learning And Testing
Here you can switch between educational tools ( Study & Assess) By Filtering Or Search for Title.
Explore More
Interactive Tools
Access, Discuss & Explore
Leave a Reply
You must be logged in to post a comment.