Decimal Number- Successor and Predecessor

DECIMAL NUMBER – SUCCESSOR AND PREDECESSOR:

Successor of Decimal number:

The number that comes just after the given decimal number is called Successor of the Decimal number.

Decimal number Successor is obtained by adding the Decimal number digits place value to the given the given decimal number.

The Successor of the decimal number need not be a Decimal number. Sometimes  we get a Whole number also.If the decimal part digits number are Nine, then the Successor of a Decimal Number is a Whole Number.   

Example:                 

If the Decimal number is 1.9, then Successor of the number = 1.9 + 0.1 = 2.0 

= 2 (whole number).

If the Decimal number is 99.99 , then its Successor = 99.99 + 0.01 = 100.00 

= 100 (whole number).

If the decimal number is 185.999, then its Successor = 185.999 + 0.001 = 186.000 = 186 (whole number)

 

 

1) Successor of 24.8

Answer:

In the number 24.8, the number of digits in the decimal part  is one. So, we need to add Tenths(t)  place value i.e: 0.1 to the given number. Therefore,

Successor of 24.8 = 24.8 + 0.1 = 24.9

 

2) Successor of 354.9

Answer:

In this number 354.9, the number of digits in the decimal part is 1. So, we add Tenths (t) place value i.e; 0.1 to the given decimal number. Therefore,

Successor of 354.9 = 354.9 + 0.1 = 355.

 

3) Successor of 1467.58

Answer:

Here, the number of digits in the decimal part are Two. So, we add Hundredths(h)  place value i.e; 0.01 to the given decimal number.

Successor of 1467.58 = 1467.58 + 0.01 = 1467.59.

 

4) Successor of 999.989

Answer:

Here, the number of digits in the decimal part are Three. So, we need to add Thousandths(th) place value i.e; 0.001 to the given decimal number.

Successor of 999.989 = 999.989 + 0.001 = 999.990.

 

Predecessor:

The number that comes just before the given decimal number is called its Predecessor.

The Predecessor of decimal number is obtained by Subtracting Decimal number digits place value from the given decimal number.

 

1) Predecessor of 76.6

Answer:

Here, the number of decimal part digit is One. So, we need to Subtract Tenths(t) digit place value i.e: 0.1 from the decimal number 76.6

Predecessor of 76.6 = 76.6 – 0.1 = 76.5.

 

2) Predecessor of 10.99

Answer:

Here, the number of decimal digits are Two. So, we need to Subtract Hundredths( h ) digit place value i.e; 0.01 from the given decimal number.

Predecessor of 10.99 = 10.99 – 0.01 = 10.08

 

3) Predecessor of 456.987

Answer:

In this decimal number, the number of decimal digits are Three. So,we need to Subtract Thousandths(th) i.e; 0.001  from the given decimal number.

Predecessor of 456.987 = 456.987 – 0.001 = 456.986.

 

Successor and Predecessor for Decimal Numbers:

S.No.	PREDECESSOR	DECIMAL NUMBER	SUCCESSOR
1	0.1 - 0.1 = 0	0.1	0.1 + 0.1 = 0.2
2	13.25 - 0.01 =13.24	13.25	13.25 + 0.01= 13.26
3	375.98 – 0.01 = 375.97	375.98	375.98 + 0.01 = 375.97
4	99.999 – 0.001 = 99.998	99.999	99.999 + 0.001 = 100