Consider this equation: ( )2 + ( )2 = ( )2 . An example of 3 different whole numbers that could go in the brackets are 3, 4, and 5, since (3)2 +(4)2 = (5)2. (That is, 9 + 16 = 25)
a. Can you find a different set of 3 whole numbers that make the above equation true? b. How many sets of such 3 different whole numbers can you find?
c. Can you find a set of 3 different whole numbers that make this equation true? ( )3 + ( )3 = ( )3
d. How about this one? ( )4 + ( )4 = ( )4
PLEASE TELL THE SOLUTION TO THE QUESTION AS EARLY AS POSSIBLE
THANKS A LOT IN ADVANCE
Answers
Answer:
The chapter starts with the introduction on predecessor and successor followed by concept of whole numbers.
If you add 1 to a natural number, we get its successor. If you subtract 1 from a natural number, you get its predecessor.
Every natural number has a successor.
Every natural number except 1 has a predecessor.
Every whole number has a successor.
Every whole number except zero has a predecessor.
All natural numbers are whole numbers, but all whole numbers are not natural numbers.
The topic number line is discussed in detail along with the operations like addition, subtraction and multiplication that can be performed on them.
This is followed by Properties of whole numbers. Various properties associated with whole numbers are explained in this chapter with examples.
Closure property
Division of a whole number by 0 is not defined.
Commutativity of addition and multiplication
Associativity of addition and multiplication
Distributivity of multiplication over addition
Zero is called an identity for addition of whole numbers or additive identity for whole numbers.
Whole number 1 is the identity for multiplication of whole numbers.
Patterns in whole numbers are the last topic that is discussed in this chapter- Whole numbers. These patterns are formed using numbers and arrangement of dots. This section contains 5 questions in the column titled 'Try These'. Students must try these questions as they are not only fun to attempt but also help in building the concept.
A total of 3 exercises are given in the chapter. Ample number of solved examples are given for reference to solve the unsolved questions.
Important points are mentioned at the end of the chapter in the form of a summary.