Numbers in General Form
Numbers in General Form
The numbers can be expressed in the following forms
Expanded form:
Any natural number can be written in the expanded form by using the place values of its digits. For example:
1.
2.
Exponential form:
Any natural number can be expressed in exponential form by using powers of 10 and the digits of the number . For example,
1.
2.
3.
General Form For a Two-digit Number:
The general form of writing any number is using the literals instead of numbers.Let us now consider a two digit number using literals a and b respectively as tens and units digits.
Using the above notations the number can be written both in expanded form or exponential form as follows:
Let us use the notation to denote this number.
i.e, or ,
Here, we have put a line over ab to distinguish it from the expression ab, which means a multiplied by b.
This is known as the generalised form of a two digit number.
General Form For a Three-digit Number:
The general form of writing any number is using the literals instead of numbers.Let us now consider a three digit number using literals a, b and c respectively as hundreds, tens and units digits.
Using the above notations the number can be written both in expanded form or exponential form as follows:
Let us use the notation to denote this number.
i.e, or ,
Here, we have put a line over abc to distinguish it from the expression abc, which means a multiplied by b and then multiplied by c.
This is known as the generalised form of a three digit number.
Illustration: What does the literal a in the general form represents for the number 365
Solution: While expressing 365 in expanded form we get
on comparing with the general form
we get a = 3.
Thus the literal a represents 3 in the general form
In a two-digit number,the digit in the units place is four times the digit in the tens place and sum of the digits is equal to 10. Find the number. | |||
| Right Option : D | |||
| View Explanation | |||
What does the literal (a) in the general form | |||
| Right Option : A | |||
| View Explanation | |||
Simplify the expression 9a + 2b + c using the values of the literal (a) in 259, (b) in 726 and (c) in 687 when the general form is | |||
| Right Option : C | |||
| View Explanation | |||
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