Decimal Point in Whole Numbers

 

In mathematics the fractions can be written as decimal point with whole numbers by dividing the terms in fraction. Whole numbers are the numbers where it starts from the number 0. Numbers may be present in both sides of decimal point. In general the numbers before the decimal point are termed as whole number part. For example, 1.02 is a decimal number where 1 is the whole number of this decimal number. Let us see decimal point in whole numbers.

 

Explanation to Decimal Point in Whole Numbers:

Place values of decimal points in whole numbers:

The whole numbers before the decimal point:

Ones (1)

Tens (10)

Hundreds (100)

Thousands (1000)

Ten thousand (10 000)

Hundred thousands

After the decimal point:

Tenths  (1/10)

Hundredths (1/100)

Thousandths (1/1000)

Ten thousands (1/10 000)

Example:

Consider a number 5.6. In this 5 is a whole number having a decimal point. Now the place values of 5 and 6 is,

5 – ones

6 – tenths.

We can expanded the decimal point in whole number by adding the result of multiplication of numbers with their place values.

5.6 = 5 x 10 + 6 x (1/10)

Example Problems to Decimal Point in Whole Numbers:

Example: 1

3.1+ 2.15

Solution:

3.1

2.15

____

5.25

____

Answer: 5.25

Example: 2

9.7-1.1

Solution:

9.7

1.1

____

8.6

____

Answer: 8.6

Example: 3

Write the expansion form of a decimal 0.59.

Solution:

Given, 0.59

The expanded form of a decimal 0.59 is,

0.59 = 0 x 1 + 5 x (1/10) + 9 x (1/100)

or

0.59 = 0 x 1 + 5 x 0.1 + 9 x 0.01

Example: 3

Solve: 0.69 + x = 1.89

Solution:

Given, 0.69 + x = 1.89

0.69  + x – 0.69 = 1.89 – 0.69

x = 1.2

Answer: x = 1.2

Practice Problems to Decimal Point in Whole Numbers:

Problem: 1

Solve: 0.3 + c = 0.9

Answer: 0.6

 

Problem: 2

Solve: 3.3 + 2.6 – 2.3 + 6.9

Answer: 10.5

Problem: 3

Write the expansion of decimal 5.69.

Answer: 5 x 10 + 6 x 0.1 + 9 x 0.01