generalized form of abcd
Answers
Step-by-step explanation:
Objective:
This topic gives an overview of;
Numbers in General Form
Games with Numbers
Letters for Digits
Introduction
You have studied various types of numbers such as natural numbers, whole numbers, integers and rational numbers. You have also studied a number of interesting properties about them. In previous classes, we explored finding factors and multiples and the relationships among them.
In this chapter, we will explore numbers in more detail. These ideas help in justifying tests of divisibility.
Numbers in General Form
Let us take the number 52 and write it as
52 = 50 + 2 = 10 × 5 + 2
Similarly, the number 37 can be written as
37 = 10 × 3 + 7
In general, any two digit number ab made of digits a and b can be written as
ab = 10 × a + b = 10a + b
ba = 10 × b + a = 10b + a
Let us now take number 351. This is a three digit number. It can also be written as
351 = 300 + 50 + 1 = 100 × 3 + 10 × 5 + 1 × 1
497 = 100 × 4 + 10 × 9 + 1 × 7
Similarly, In general, a 3-digit number abc made up of digits a, b and c is written as
abc = 100 × a + 10 × b + 1 × c
= 100a + 10b + c
In the same way,
cab = 100c + 10a + b
bca = 100b + 10c + a and so on.
Answer:
the generalised form of ABC is