Use the identities to solve the problems based on simplification of decimal. We will make use of these identities in some of the questions related to division of decimals.

**Learn the following identities to apply these in simplifying decimal.**

Worked-out examples on simplification of decimal:

Let us observe how to simplify decimals using identities with detailed step-by-step explanation.

**Simplify the following:**

**Solution: **

Let, a = 0.9 and b = 0.6

So, [(a - b)

= (a - b)

= (a - b)

Now putting the value of a and b we get,

= 0.9 - 0.6

= 0.3

**Solution: **

Let a = 5.8 and b = 2.6

So, we have

= [a= [

= (a

Now putting the value of a and b we get,

= [(5.8)

= 55.48/3.2

= (55.48 × 10)/(3.2 × 10), Multiply both numerator and denominator by 10

= 554.8/32

= 17.3375

**Solution:**

Let a = 8.65 and b = 4.35

So, we have

= [a= [(a + b)

= a + b

Now putting the value of a and b

= 8.65 + 4.35

= 13

**● Related Concept **

**● ****Decimals**

**● ****Conversion of
Unlike Decimals to Like Decimals**

**● ****Decimal and
Fractional Expansion**

**● ****Converting Decimals
to Fractions**

**● ****Converting
Fractions to Decimals**

**● ****H.C.F. and L.C.M.
of Decimals**

**● ****Repeating or
Recurring Decimal**

**● ****BODMAS/PEMDAS Rules
- Involving Decimals**

**● ****PEMDAS Rules -
Involving Integers**

**● ****PEMDAS Rules -
Involving Decimals**

**● ****BODMAS Rules -
Involving Integers**

**● ****Conversion of Pure
Recurring Decimal into Vulgar Fraction**

**● ****Conversion of Mixed
Recurring Decimals into Vulgar Fractions**

**● ****Rounding Decimals
to the Nearest Whole Number**

**● ****Rounding Decimals
to the Nearest Tenths**

**● ****Rounding Decimals
to the Nearest Hundredths**

**● ****Simplify Decimals
Involving Addition and Subtraction Decimals**

**● ****Multiplying Decimal
by a Decimal Number**

**● ****Multiplying Decimal
by a Whole Number**

**● ****Dividing Decimal by
a Whole Number**

**● ****Dividing Decimal by
a Decimal Number**

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